Caso 1

Para os dados aprensentados, temos que o experimento tenta medir a eficiência com diferentes tipos de rpm, no qual é conduzido por 4 velocidades, e para controlar o efeito da materia prima, utilizamos 4 blocos, assim temos que o modelo é dado por

\[y_{ij}=\mu+\tau_i+\beta_j+e_{ij}\] Sendo \(\tau_i\) os tratamentos que queremos comparar e \(\beta_j\), os efeitos de bloco para contornar a variabilidade não controlada.

valores =  c(8,4,5,6,
             14,5,6,9,
             14,6,9,2,
             17,9,3,6)

trat = factor(rep(1:4,each=4))
bloc = factor(rep(1:4,4))

data.frame(valores,trat,bloc)
##    valores trat bloc
## 1        8    1    1
## 2        4    1    2
## 3        5    1    3
## 4        6    1    4
## 5       14    2    1
## 6        5    2    2
## 7        6    2    3
## 8        9    2    4
## 9       14    3    1
## 10       6    3    2
## 11       9    3    3
## 12       2    3    4
## 13      17    4    1
## 14       9    4    2
## 15       3    4    3
## 16       6    4    4
mod = aov(valores~bloc+trat)



summary(mod)
##             Df Sum Sq Mean Sq F value Pr(>F)  
## bloc         3 165.19   55.06   6.348 0.0133 *
## trat         3  22.19    7.40   0.853 0.4995  
## Residuals    9  78.06    8.67                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Assim, pelo teste anova, não rejeitamos a hipotese de igualdade entre as médias do tratamento.

Agora avaliando as suposições do modelo

#teste de normalidade
shapiro.test(mod$residuals)
## 
##  Shapiro-Wilk normality test
## 
## data:  mod$residuals
## W = 0.9301, p-value = 0.2447
#teste de hogeneidade de variancias
bartlett.test(valores,trat)
## 
##  Bartlett test of homogeneity of variances
## 
## data:  valores and trat
## Bartlett's K-squared = 3.5316, df = 3, p-value = 0.3167
# levene.test(mod$residuals,trat,location="median")

Caso 2

library(agricolae)
## Warning: pacote 'agricolae' foi compilado no R versão 4.4.2
a=4;b=5;n=4*5

tau= c(10,15,-20, -5)
beta= c(20,10,5, -7, 28)

sig=4;mu=100


trat = factor(rep(1:4, 5))
bloc = factor(rep(1:5,each=4))

taus = rep(tau,5)
betas = rep(beta, each=4)

lambda <- 0.01



pvalor1=c()
pvalor2=c()
for (simu in 1:1000) {
  
  e = rnorm(12,0,sig)
  y = mu+ taus + betas+lambda*taus*betas + e
  
  modelo = aov(y~bloc+trat)
  
  # Podemos calcular a aditividade assim
  nad = nonadditivity(y,bloc,trat,
              df = summary(modelo)[[1]][3,1],
              MSerror=summary(modelo)[[1]][3,3])

  pvalor1[simu] = nad$ANOVA[1,5]
 
  
  # Ou assim
  q = modelo$fitted.values^2 # =y_hat^2
  
  mod_q = aov(q~bloc+trat)
  
  P = sum((q-mod_q$fitted.values)*(y-modelo$fitted.values))
  Q = sum((q-mod_q$fitted.values)^2)
  
  SQAB = P^2/Q
  
  SQRES.estrela = summary(modelo)[[1]][3,2]-SQAB
  
  pvalor2[simu] = 1-pf( (SQAB/1)/
                          SQRES.estrela/( (a-1)*(b-1)-1 ),
                        1, (a-1)*(b-1)-1)


}
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20115.59
## Q : 3382080 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 119.64 119.641  7.7282 0.01791 *
## Residuals     11 170.29  15.481                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19997.19
## Q : 4284804 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  93.327  93.327  6.7554 0.02473 *
## Residuals     11 151.968  13.815                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8117.293
## Q : 2700823 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.396  24.396  1.3086 0.2769
## Residuals     11 205.082  18.644
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10749.28
## Q : 2542268 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  45.45  45.450  3.8532 0.07543 .
## Residuals     11 129.75  11.795                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15616.83
## Q : 2659995 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  91.686  91.686  4.9304 0.04833 *
## Residuals     11 204.558  18.596                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8591.211
## Q : 2412415 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 30.595 30.5954   3.794 0.0774 .
## Residuals     11 88.705  8.0641                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6590.331
## Q : 2602818 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  16.687  16.687  1.3745 0.2658
## Residuals     11 133.538  12.140
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11255.38
## Q : 1687068 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  75.09  75.091  2.4324 0.1471
## Residuals     11 339.59  30.872
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1936.389
## Q : 4169265 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.899  0.8993  0.0404 0.8444
## Residuals     11 244.976 22.2705
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16667.43
## Q : 4363326 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 63.668  63.668  11.827 0.005535 **
## Residuals     11 59.218   5.383                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13967.58
## Q : 1778063 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 109.72 109.722  3.2251    0.1
## Residuals     11 374.24  34.021
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16853.92
## Q : 3024879 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  93.906  93.906  3.6161 0.08372 .
## Residuals     11 285.658  25.969                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13937.92
## Q : 2723804 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  71.321  71.321  3.6663 0.08188 .
## Residuals     11 213.986  19.453                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14481.98
## Q : 2218267 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  94.546  94.546  8.2153 0.01534 *
## Residuals     11 126.594  11.509                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3291.401
## Q : 2021033 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.36  5.3603  0.2728 0.6118
## Residuals     11 216.13 19.6478
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14909.37
## Q : 3097494 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 71.764  71.764  7.9461 0.0167 *
## Residuals     11 99.345   9.031                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12629.78
## Q : 3017989 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  52.854  52.854  5.1242 0.0448 *
## Residuals     11 113.459  10.314                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19506.67
## Q : 2733506 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 139.202 139.202  16.773 0.001773 **
## Residuals     11  91.289   8.299                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14187.95
## Q : 3115043 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  64.621  64.621   5.928 0.03313 *
## Residuals     11 119.911  10.901                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10611.68
## Q : 3345765 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 33.657  33.657   4.291 0.06261 .
## Residuals     11 86.280   7.844                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7133.191
## Q : 3200908 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.896  15.896  0.9563 0.3491
## Residuals     11 182.855  16.623
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12356.68
## Q : 2922446 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  52.246  52.246  5.2794 0.0422 *
## Residuals     11 108.860   9.896                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17852.89
## Q : 2965671 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 107.47 107.472  5.9267 0.03314 *
## Residuals     11 199.47  18.133                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7472.403
## Q : 3245153 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  17.206  17.206  1.3163 0.2756
## Residuals     11 143.790  13.072
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16217.33
## Q : 2107595 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 124.79 124.788  7.3008 0.02058 *
## Residuals     11 188.02  17.092                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15361.23
## Q : 3514689 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 67.138  67.138  9.5726 0.01021 *
## Residuals     11 77.149   7.014                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10767.24
## Q : 4279946 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.088  27.088  1.6535 0.2249
## Residuals     11 180.201  16.382
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2581.984
## Q : 2662669 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   2.504  2.5037   0.157 0.6995
## Residuals     11 175.442 15.9493
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10108.82
## Q : 3990164 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.61  25.610  1.9855 0.1864
## Residuals     11 141.88  12.899
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9534.654
## Q : 1980653 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 45.899  45.899  7.1903 0.02135 *
## Residuals     11 70.218   6.383                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10331.43
## Q : 3049823 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 34.998  34.998  4.1773 0.06567 .
## Residuals     11 92.160   8.378                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11240.37
## Q : 2341468 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 53.960  53.960  8.1397 0.01571 *
## Residuals     11 72.922   6.629                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18869.32
## Q : 3002824 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 118.57 118.572    13.7 0.003493 **
## Residuals     11  95.20   8.655                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9078.751
## Q : 2738699 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  30.096  30.096   2.883 0.1176
## Residuals     11 114.831  10.439
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16189.85
## Q : 2998883 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  87.403  87.403  7.5916 0.01871 *
## Residuals     11 126.644  11.513                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19383.29
## Q : 2373533 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 158.29 158.292  11.846 0.005508 **
## Residuals     11 146.99  13.363                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15041.99
## Q : 3353911 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 67.462  67.462  11.454 0.006095 **
## Residuals     11 64.789   5.890                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17190.47
## Q : 3376483 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 87.521  87.521  11.873 0.005469 **
## Residuals     11 81.083   7.371                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16636.33
## Q : 3305068 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  83.74  83.740  77.929 2.531e-06 ***
## Residuals     11  11.82   1.075                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23460.28
## Q : 3842606 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 143.23 143.232  6.2445 0.02956 *
## Residuals     11 252.31  22.937                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15000.39
## Q : 2679270 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  83.98  83.982  2.1336 0.1721
## Residuals     11 432.99  39.363
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2584.697
## Q : 1932553 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.457  3.4569  0.2099 0.6557
## Residuals     11 181.133 16.4666
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16880.13
## Q : 2524211 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 112.88 112.882  3.3267 0.09542 .
## Residuals     11 373.25  33.932                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4100.075
## Q : 3172351 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.299  5.2991  0.2443 0.6308
## Residuals     11 238.612 21.6920
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10629.62
## Q : 2502641 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 45.148  45.148  11.503 0.006018 **
## Residuals     11 43.174   3.925                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23748.34
## Q : 4021693 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 140.24 140.235  10.954 0.006958 **
## Residuals     11 140.83  12.802                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14192
## Q : 2584572 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 77.929  77.929  13.329 0.003815 **
## Residuals     11 64.313   5.847                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15789.27
## Q : 2535692 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  98.317  98.317  3.5053 0.08798 .
## Residuals     11 308.527  28.048                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7156.461
## Q : 1687169 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 30.356  30.355  3.6241 0.08342 .
## Residuals     11 92.136   8.376                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11025.4
## Q : 2667342 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 45.573  45.573  5.5302 0.03838 *
## Residuals     11 90.648   8.241                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13191.09
## Q : 2854334 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 60.962  60.962  7.5876 0.01874 *
## Residuals     11 88.378   8.034                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8021.55
## Q : 2344571 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.444  27.444  2.6278 0.1333
## Residuals     11 114.883  10.444
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6024.265
## Q : 3184791 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 11.395 11.3953  1.3041 0.2777
## Residuals     11 96.117  8.7379
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22443.56
## Q : 2958183 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 170.28 170.278  6.0405 0.03181 *
## Residuals     11 310.08  28.189                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6953.226
## Q : 2690767 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  17.968  17.968  1.7423 0.2137
## Residuals     11 113.438  10.312
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14701.12
## Q : 2492396 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  86.713  86.713  5.3419 0.04121 *
## Residuals     11 178.558  16.233                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8629.919
## Q : 2400984 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 31.019 31.0187  11.939 0.005378 **
## Residuals     11 28.579  2.5981                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13482.96
## Q : 3089218 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 58.847  58.847  7.5455  0.019 *
## Residuals     11 85.788   7.799                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17396.75
## Q : 2988904 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 101.257 101.257  12.707 0.004436 **
## Residuals     11  87.651   7.968                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16596.52
## Q : 2326960 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 118.37  118.37   5.898 0.03349 *
## Residuals     11 220.77   20.07                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17480.16
## Q : 3002451 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 101.77  101.77   4.729 0.05235 .
## Residuals     11 236.72   21.52                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9920.195
## Q : 1978018 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 49.752  49.752  12.457 0.00472 **
## Residuals     11 43.934   3.994                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8947.999
## Q : 2402403 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  33.328  33.328  2.6413 0.1324
## Residuals     11 138.797  12.618
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16409.34
## Q : 2191865 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 122.85  122.85  10.682 0.007486 **
## Residuals     11 126.50   11.50                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15754.58
## Q : 3756967 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 66.066  66.066  12.247 0.004975 **
## Residuals     11 59.341   5.395                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13072.09
## Q : 3081643 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  55.451  55.451  5.1336 0.04464 *
## Residuals     11 118.817  10.802                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10255.44
## Q : 3579084 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.386  29.386   1.839 0.2022
## Residuals     11 175.768  15.979
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8433.961
## Q : 2913064 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.42  24.418  0.6122 0.4505
## Residuals     11 438.73  39.884
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18681.36
## Q : 4038797 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  86.41  86.410  4.9678 0.04762 *
## Residuals     11 191.34  17.394                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13794.58
## Q : 2483825 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.612  76.612   4.085 0.06828 .
## Residuals     11 206.299  18.754                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10856.06
## Q : 2275704 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 51.788  51.788  8.0561 0.01613 *
## Residuals     11 70.713   6.428                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12710.23
## Q : 2814811 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 57.393  57.393  16.838 0.001749 **
## Residuals     11 37.494   3.409                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22249.58
## Q : 3529238 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 140.269 140.269  15.489 0.002329 **
## Residuals     11  99.615   9.056                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10847.09
## Q : 2559965 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 45.961  45.961  9.5312 0.01034 *
## Residuals     11 53.044   4.822                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15885.32
## Q : 2053583 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 122.88  122.88  9.9982 0.009047 **
## Residuals     11 135.19   12.29                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12561.8
## Q : 2658379 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 59.359  59.359  7.3912 0.01998 *
## Residuals     11 88.341   8.031                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22166.34
## Q : 2652794 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 185.22 185.219  5.9625 0.03272 *
## Residuals     11 341.71  31.064                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13007.06
## Q : 2053042 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  82.406  82.406  6.8479 0.02396 *
## Residuals     11 132.372  12.034                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5291.055
## Q : 1883974 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.86  14.860  1.1914 0.2984
## Residuals     11 137.20  12.473
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14218.23
## Q : 2520563 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  80.204  80.204  8.2825 0.01503 *
## Residuals     11 106.519   9.684                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2295.907
## Q : 2993461 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   1.761  1.7609   0.082 0.7799
## Residuals     11 236.236 21.4760
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8942.857
## Q : 2969184 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  26.935  26.935  1.6717 0.2225
## Residuals     11 177.233  16.112
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9955.515
## Q : 2995346 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 33.089  33.089   5.681 0.03628 *
## Residuals     11 64.069   5.824                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11229.12
## Q : 2889889 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 43.632  43.632  20.314 0.0008907 ***
## Residuals     11 23.627   2.148                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19187.4
## Q : 3101397 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 118.71  118.71  5.4829 0.03906 *
## Residuals     11 238.15   21.65                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13081.03
## Q : 4343004 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 39.400  39.400  8.2992 0.01495 *
## Residuals     11 52.222   4.747                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8404.662
## Q : 2829872 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.962  24.962  2.1671  0.169
## Residuals     11 126.703  11.518
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13161.16
## Q : 2728992 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  63.473  63.473  5.5428 0.0382 *
## Residuals     11 125.966  11.451                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8002.359
## Q : 2760014 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.202  23.202  1.5196 0.2434
## Residuals     11 167.954  15.269
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11739.78
## Q : 3190595 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  43.196  43.196   4.529 0.05676 .
## Residuals     11 104.915   9.538                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18194.67
## Q : 2418828 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 136.86 136.862  9.2187 0.01132 *
## Residuals     11 163.31  14.846                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12893.47
## Q : 2520380 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  65.959  65.959  4.0715 0.06867 .
## Residuals     11 178.200  16.200                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9214.274
## Q : 2434025 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  34.882  34.882  1.4456 0.2545
## Residuals     11 265.418  24.129
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8651.43
## Q : 2664088 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 28.095 28.0949  4.4913 0.05764 .
## Residuals     11 68.810  6.2554                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14583.01
## Q : 2972308 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  71.548  71.548  6.6123 0.02598 *
## Residuals     11 119.025  10.820                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11583.45
## Q : 2754727 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  48.708  48.708  2.2169 0.1646
## Residuals     11 241.684  21.971
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7370.921
## Q : 2968969 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  18.299  18.299  1.6172 0.2297
## Residuals     11 124.473  11.316
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24037.03
## Q : 4403220 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 131.217 131.217  16.121 0.002033 **
## Residuals     11  89.533   8.139                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9194.085
## Q : 1757771 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  48.09  48.090  5.1686 0.04404 *
## Residuals     11 102.35   9.304                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19337.44
## Q : 2422652 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 154.35 154.350  13.444 0.003712 **
## Residuals     11 126.29  11.481                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15089.64
## Q : 2234988 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 101.879 101.879  28.851 0.0002263 ***
## Residuals     11  38.843   3.531                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11525.38
## Q : 2468391 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 53.814  53.814  26.419 0.0003233 ***
## Residuals     11 22.406   2.037                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9070.837
## Q : 2511529 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  32.761  32.761  3.4237 0.09129 .
## Residuals     11 105.257   9.569                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17304.09
## Q : 2705823 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 110.66 110.662  8.2604 0.01513 *
## Residuals     11 147.36  13.397                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17929.5
## Q : 3328647 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 96.576  96.576  12.864 0.004269 **
## Residuals     11 82.583   7.508                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5087.994
## Q : 1783254 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.517  14.517  1.4391 0.2555
## Residuals     11 110.963  10.088
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7887.885
## Q : 2347447 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 26.505 26.5049  3.7187 0.08001 .
## Residuals     11 78.403  7.1275                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12203.02
## Q : 3301306 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 45.107  45.107  8.1683 0.01557 *
## Residuals     11 60.745   5.522                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15418.86
## Q : 3375322 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 70.435  70.435  22.412 0.0006152 ***
## Residuals     11 34.570   3.143                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13842.96
## Q : 2774850 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  69.059  69.059  4.5013 0.05741 .
## Residuals     11 168.762  15.342                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11716.64
## Q : 2844122 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.268  48.268  5.3543 0.04101 *
## Residuals     11 99.163   9.015                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10613.5
## Q : 3030411 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  37.172  37.172  2.9912 0.1116
## Residuals     11 136.697  12.427
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10791.35
## Q : 2607695 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  44.658  44.658  3.4013 0.09222 .
## Residuals     11 144.426  13.130                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13979.29
## Q : 3112177 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.792  62.792  6.5152 0.02688 *
## Residuals     11 106.017   9.638                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14876.1
## Q : 2838504 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 77.963  77.963  15.752 0.002201 **
## Residuals     11 54.445   4.950                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4331.688
## Q : 1265805 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.823  14.823  0.8666 0.3719
## Residuals     11 188.159  17.105
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14607.65
## Q : 1682434 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 126.83 126.830  3.5904 0.08469 .
## Residuals     11 388.58  35.325                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8831.792
## Q : 2581617 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 30.214 30.2138  10.512 0.007843 **
## Residuals     11 31.617  2.8743                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19920.7
## Q : 2850913 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 139.20 139.196  4.8782 0.04933 *
## Residuals     11 313.87  28.534                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9228.401
## Q : 2533236 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 33.618  33.618  5.3222 0.04152 *
## Residuals     11 69.483   6.317                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8972.051
## Q : 2464094 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 32.668  32.668  3.8142 0.07673 .
## Residuals     11 94.215   8.565                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4475.897
## Q : 4185165 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.79   4.787  0.1415  0.714
## Residuals     11 372.15  33.832
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7671.66
## Q : 2710150 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.716  21.716  1.3015 0.2782
## Residuals     11 183.545  16.686
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9861.027
## Q : 3109442 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 31.272 31.2724  4.1223 0.06721 .
## Residuals     11 83.448  7.5862                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10440.51
## Q : 2666593 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 40.878  40.878  7.5395 0.01903 *
## Residuals     11 59.640   5.422                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2190.87
## Q : 3733809 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   1.286  1.2855  0.0465 0.8332
## Residuals     11 304.018 27.6380
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4729.572
## Q : 3196196 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   6.999  6.9986  0.4435 0.5191
## Residuals     11 173.570 15.7791
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6155.296
## Q : 2479374 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.281  15.281  0.8523 0.3757
## Residuals     11 197.224  17.929
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10674.79
## Q : 2136669 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  53.331  53.331  2.5945 0.1355
## Residuals     11 226.113  20.556
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14352.09
## Q : 2919624 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  70.551  70.551  4.5656 0.05592 .
## Residuals     11 169.982  15.453                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -903.424
## Q : 2348287 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.348  0.3476  0.0215  0.886
## Residuals     11 177.685 16.1532
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13209.8
## Q : 1803864 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 96.736  96.736   11.21 0.006498 **
## Residuals     11 94.920   8.629                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8598.158
## Q : 3384861 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 21.841 21.8409  2.6678 0.1307
## Residuals     11 90.055  8.1868
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11549.86
## Q : 2940956 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  45.359  45.359  3.7057 0.08046 .
## Residuals     11 134.643  12.240                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13204.76
## Q : 2777325 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.782  62.782   6.219 0.02983 *
## Residuals     11 111.047  10.095                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2172.772
## Q : 3309677 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   1.426  1.4264  0.0574 0.8151
## Residuals     11 273.447 24.8588
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11587.7
## Q : 3225652 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  41.627  41.627  4.0847 0.06829 .
## Residuals     11 112.100  10.191                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11618.75
## Q : 2121543 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  63.631  63.631  4.0738 0.06861 .
## Residuals     11 171.814  15.619                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13357.66
## Q : 2863295 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.315  62.315  6.2476 0.02953 *
## Residuals     11 109.718   9.974                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10886.31
## Q : 2290634 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.738  51.738  4.0524 0.06924 .
## Residuals     11 140.439  12.767                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17194.72
## Q : 3077618 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 96.067  96.067  16.401 0.001916 **
## Residuals     11 64.431   5.857                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11094.29
## Q : 3007421 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  40.93  40.927   1.092 0.3184
## Residuals     11 412.26  37.478
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10451.99
## Q : 2866395 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  38.112  38.112  2.6878 0.1294
## Residuals     11 155.976  14.180
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13601.59
## Q : 2634636 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  70.22  70.220  5.8988 0.03348 *
## Residuals     11 130.94  11.904                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4894.962
## Q : 3191999 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   7.506  7.5065  0.5342 0.4801
## Residuals     11 154.575 14.0523
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11708.21
## Q : 3268939 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 41.935  41.935  5.2781 0.04222 *
## Residuals     11 87.396   7.945                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16406.64
## Q : 3164298 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  85.067  85.067  7.1893 0.02136 *
## Residuals     11 130.157  11.832                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7753.548
## Q : 2242214 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  26.812  26.812  2.5361 0.1396
## Residuals     11 116.292  10.572
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14328.79
## Q : 2511693 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 81.743  81.743  14.574 0.002855 **
## Residuals     11 61.696   5.609                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2459.115
## Q : 2500020 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   2.419  2.4189  0.1336 0.7217
## Residuals     11 199.191 18.1083
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14230.23
## Q : 2748075 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 73.688  73.688  18.235 0.00132 **
## Residuals     11 44.450   4.041                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18423.65
## Q : 3692135 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 91.934  91.934  18.303 0.001303 **
## Residuals     11 55.252   5.023                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14296.12
## Q : 3221196 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  63.448  63.448  3.4401 0.09061 .
## Residuals     11 202.884  18.444                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10385.36
## Q : 3009363 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 35.840  35.840   5.918 0.03325 *
## Residuals     11 66.617   6.056                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15958.44
## Q : 3142121 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 81.051  81.051  29.047 0.0002201 ***
## Residuals     11 30.694   2.790                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20420.76
## Q : 2491653 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 167.36 167.362  7.6879 0.01814 *
## Residuals     11 239.46  21.769                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9823.966
## Q : 1899454 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  50.81   50.81  3.7007 0.08064 .
## Residuals     11 151.03   13.73                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21475.56
## Q : 2645584 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 174.33 174.328  12.169 0.005072 **
## Residuals     11 157.58  14.325                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8172.409
## Q : 2573845 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 25.949 25.9488  5.1999 0.04351 *
## Residuals     11 54.893  4.9903                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18332.62
## Q : 2490832 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 134.93 134.929  4.0431 0.06951 .
## Residuals     11 367.10  33.372                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11104.3
## Q : 2186943 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 56.383  56.383  6.2669 0.02933 *
## Residuals     11 98.966   8.997                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15070.21
## Q : 2966266 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.565  76.565  5.9715 0.03261 *
## Residuals     11 141.039  12.822                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15861.8
## Q : 3296860 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.314  76.314  4.4919 0.05763 .
## Residuals     11 186.880  16.989                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11592.3
## Q : 3353069 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  40.077  40.077  2.6703 0.1305
## Residuals     11 165.090  15.008
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6311.244
## Q : 1635632 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.353  24.352  1.1549 0.3055
## Residuals     11 231.957  21.087
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8469.367
## Q : 2604439 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.542  27.541  1.7809  0.209
## Residuals     11 170.116  15.465
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13952.36
## Q : 2772329 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  70.218  70.218  2.7432 0.1259
## Residuals     11 281.567  25.597
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11451.35
## Q : 2038614 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  64.325  64.325  3.4024 0.09218 .
## Residuals     11 207.962  18.906                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9590.583
## Q : 1995251 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 46.099  46.099  5.7597 0.03524 *
## Residuals     11 88.041   8.004                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11403.68
## Q : 1923453 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  67.61  67.610  7.3848 0.02002 *
## Residuals     11 100.71   9.155                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6584.25
## Q : 3392691 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  12.778  12.778  0.9722 0.3453
## Residuals     11 144.581  13.144
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3161.849
## Q : 2462389 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.06   4.060  0.3314 0.5764
## Residuals     11 134.77  12.252
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11124.02
## Q : 2834652 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  43.654  43.654  2.0849 0.1766
## Residuals     11 230.320  20.938
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15245.64
## Q : 2501622 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  92.912  92.912  4.4962 0.05753 .
## Residuals     11 227.310  20.665                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14051.42
## Q : 3184321 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 62.005  62.005  9.0555 0.01188 *
## Residuals     11 75.319   6.847                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23520.28
## Q : 3289403 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 168.18 168.177  8.2205 0.01532 *
## Residuals     11 225.04  20.458                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10329.11
## Q : 1979030 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  53.91  53.910  3.5781 0.08515 .
## Residuals     11 165.73  15.067                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25628.92
## Q : 3989101 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 164.66 164.659  11.569 0.005915 **
## Residuals     11 156.56  14.233                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10282.24
## Q : 2368744 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 44.633  44.633  23.703 0.0004959 ***
## Residuals     11 20.714   1.883                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16585.53
## Q : 2734977 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 100.58 100.578  7.8481 0.01723 *
## Residuals     11 140.97  12.816                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1308.502
## Q : 2436692 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.703  0.7027  0.0299 0.8659
## Residuals     11 258.615 23.5104
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15739.57
## Q : 2812586 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  88.081  88.081  6.7488 0.02479 *
## Residuals     11 143.565  13.051                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11568.28
## Q : 3198093 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 41.845  41.845  16.353 0.001936 **
## Residuals     11 28.148   2.559                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7353.017
## Q : 2346513 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.041  23.041  0.9685 0.3462
## Residuals     11 261.701  23.791
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12737.96
## Q : 2188432 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  74.142  74.142  6.4172 0.02781 *
## Residuals     11 127.091  11.554                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15647.18
## Q : 2269062 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 107.90 107.901  11.153 0.006597 **
## Residuals     11 106.42   9.674                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3035.541
## Q : 2043381 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.509  4.5094  0.2802 0.6071
## Residuals     11 177.044 16.0949
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1364.51
## Q : 2967871 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.627  0.6273  0.0306 0.8644
## Residuals     11 225.769 20.5245
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9449.126
## Q : 2767021 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  32.268  32.268   3.391 0.09266 .
## Residuals     11 104.675   9.516                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13973.4
## Q : 2294545 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  85.096  85.096  5.8869 0.03363 *
## Residuals     11 159.005  14.455                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19092.46
## Q : 3384841 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 107.69 107.693  10.948 0.006968 **
## Residuals     11 108.20   9.836                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6038.547
## Q : 1971771 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  18.493 18.4930  1.8666 0.1991
## Residuals     11 108.979  9.9072
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26149.84
## Q : 2943814 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 232.29 232.288  21.004 0.0007865 ***
## Residuals     11 121.65  11.059                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12066.26
## Q : 3014518 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  48.298  48.298  4.9345 0.04825 *
## Residuals     11 107.665   9.788                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11645.14
## Q : 2590225 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 52.354  52.354  24.247 0.0004539 ***
## Residuals     11 23.751   2.159                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1327.095
## Q : 3350014 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.526  0.5257  0.0202 0.8894
## Residuals     11 285.741 25.9765
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9797.438
## Q : 2346579 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  40.906  40.906  3.4811 0.08895 .
## Residuals     11 129.262  11.751                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9978.713
## Q : 2162535 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  46.045  46.045  4.5332 0.05667 .
## Residuals     11 111.731  10.157                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11245.97
## Q : 2570532 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 49.201  49.201  5.9875 0.03242 *
## Residuals     11 90.390   8.217                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11731.52
## Q : 2692038 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  51.124  51.124   2.277 0.1595
## Residuals     11 246.978  22.453
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19652.21
## Q : 2832922 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 136.33 136.329   10.02 0.008991 **
## Residuals     11 149.66  13.606                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15440.25
## Q : 2812810 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 84.756  84.756  13.275 0.003864 **
## Residuals     11 70.230   6.385                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14857.98
## Q : 3142651 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 70.246  70.246  10.074 0.008857 **
## Residuals     11 76.705   6.973                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9787.48
## Q : 1662533 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  57.62  57.620  9.7932 0.009588 **
## Residuals     11  64.72   5.884                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10340.73
## Q : 2599093 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 41.142  41.142  6.9608 0.02306 *
## Residuals     11 65.015   5.910                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6373.019
## Q : 3091030 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 13.140 13.1398  2.1254 0.1728
## Residuals     11 68.004  6.1822
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13530.13
## Q : 3495405 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 52.373  52.373  6.6031 0.02607 *
## Residuals     11 87.247   7.932                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6600.567
## Q : 2392699 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  18.209  18.209  1.8056 0.2061
## Residuals     11 110.931  10.085
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8905.152
## Q : 1801312 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  44.024  44.024  4.2419 0.06391 .
## Residuals     11 114.163  10.378                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17720.5
## Q : 2866500 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 109.55 109.547  4.6146 0.05482 .
## Residuals     11 261.13  23.739                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15304.85
## Q : 3234552 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  72.418  72.418   4.952 0.04792 *
## Residuals     11 160.864  14.624                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16214.49
## Q : 4369483 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 60.170  60.170  16.823 0.001755 **
## Residuals     11 39.342   3.577                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15138.21
## Q : 3306567 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  69.306  69.306  3.0766 0.1072
## Residuals     11 247.797  22.527
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13200.12
## Q : 2677248 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  65.083  65.083  4.0066 0.0706 .
## Residuals     11 178.684  16.244                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11303.91
## Q : 2656292 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 48.104  48.104  12.016 0.005273 **
## Residuals     11 44.035   4.003                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6416.828
## Q : 2783913 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.79  14.791  0.4434 0.5192
## Residuals     11 366.90  33.355
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6913.282
## Q : 2214702 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.58  21.580  2.0241 0.1826
## Residuals     11 117.28  10.661
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19792.73
## Q : 2657225 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 147.43 147.429  6.7468 0.02481 *
## Residuals     11 240.37  21.852                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30745.63
## Q : 4130422 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 228.86 228.861  13.993 0.003262 **
## Residuals     11 179.90  16.355                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7695.663
## Q : 3728777 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 15.883 15.8827  1.9815 0.1869
## Residuals     11 88.171  8.0155
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8638.329
## Q : 2434495 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  30.651  30.651  1.3343 0.2725
## Residuals     11 252.690  22.972
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17218.77
## Q : 2987802 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  99.232  99.232  6.9697 0.02299 *
## Residuals     11 156.613  14.238                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13666.82
## Q : 2932000 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  63.705  63.705  5.1906 0.04367 *
## Residuals     11 135.005  12.273                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7212.548
## Q : 2525191 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  20.601  20.601  1.7013 0.2188
## Residuals     11 133.201  12.109
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3317.719
## Q : 2779374 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.96  3.9603   0.188  0.673
## Residuals     11 231.71 21.0643
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11278.3
## Q : 2276641 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  55.872  55.872  4.9359 0.04822 *
## Residuals     11 124.514  11.319                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10063.36
## Q : 2850294 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 35.530  35.530  4.1319 0.06694 .
## Residuals     11 94.589   8.599                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14397.93
## Q : 2573682 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 80.546  80.546  12.689 0.004456 **
## Residuals     11 69.827   6.348                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20370.45
## Q : 2270208 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 182.78 182.783  5.9883 0.03241 *
## Residuals     11 335.76  30.523                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11243.8
## Q : 3110183 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  40.648  40.648   3.693 0.08092 .
## Residuals     11 121.074  11.007                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7303.762
## Q : 2236287 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.854  23.854  2.1388 0.1716
## Residuals     11 122.687  11.153
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12118.54
## Q : 2605978 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 56.355  56.355  8.5651 0.01377 *
## Residuals     11 72.375   6.580                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9975.83
## Q : 2361716 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  42.138  42.138  1.8999 0.1955
## Residuals     11 243.973  22.179
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13082.78
## Q : 3305151 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.786  51.786   3.583 0.08497 .
## Residuals     11 158.984  14.453                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2397.509
## Q : 2864706 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   2.007  2.0065  0.0785 0.7846
## Residuals     11 281.296 25.5724
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11966.45
## Q : 2567903 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  55.764  55.764  3.0838 0.1068
## Residuals     11 198.913  18.083
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7753.072
## Q : 2052478 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.287  29.287  2.3823  0.151
## Residuals     11 135.229  12.293
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17092.18
## Q : 2630214 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 111.07 111.072  10.281 0.00836 **
## Residuals     11 118.84  10.804                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12266.64
## Q : 3060060 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  49.172  49.172  2.2128  0.165
## Residuals     11 244.445  22.222
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15122.33
## Q : 2958223 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 77.305  77.305  20.161 0.0009161 ***
## Residuals     11 42.179   3.834                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11289.34
## Q : 2385771 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  53.421  53.421  3.5937 0.08456 .
## Residuals     11 163.515  14.865                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4196.327
## Q : 2578856 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   6.83   6.828  0.1854 0.6751
## Residuals     11 405.04  36.822
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11701.68
## Q : 2118491 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  64.635  64.635  4.5138 0.05712 .
## Residuals     11 157.516  14.320                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5210.139
## Q : 2142323 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 12.671 12.6711  2.1736 0.1684
## Residuals     11 64.124  5.8295
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19704.43
## Q : 3255426 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 119.267 119.267  16.834 0.001751 **
## Residuals     11  77.936   7.085                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11126.63
## Q : 3032638 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  40.823  40.823  3.5283 0.08708 .
## Residuals     11 127.274  11.570                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9071.231
## Q : 2392111 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 34.399  34.399  5.2908 0.04202 *
## Residuals     11 71.520   6.502                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14842.98
## Q : 2215155 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  99.458  99.458  8.7516 0.01301 *
## Residuals     11 125.010  11.365                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19071.74
## Q : 3583751 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 101.50 101.495   9.546 0.01029 *
## Residuals     11 116.95  10.632                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14876.38
## Q : 2877802 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 76.901  76.901  13.747 0.003455 **
## Residuals     11 61.536   5.594                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8322.571
## Q : 2800352 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.734  24.735  1.4374 0.2558
## Residuals     11 189.287  17.208
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5140.927
## Q : 2597925 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  10.173  10.173  0.7438 0.4069
## Residuals     11 150.449  13.677
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9878.462
## Q : 2225212 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  43.854  43.854  1.8225 0.2041
## Residuals     11 264.682  24.062
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9957.876
## Q : 3754374 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  26.412  26.412  1.0712 0.3229
## Residuals     11 271.216  24.656
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14933.88
## Q : 3840798 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  58.066  58.066  4.0611 0.06898 .
## Residuals     11 157.279  14.298                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7424.538
## Q : 2286071 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.113  24.113  1.5006 0.2462
## Residuals     11 176.753  16.068
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20610.86
## Q : 2766407 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 153.56 153.559  9.2433 0.01124 *
## Residuals     11 182.74  16.613                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 419.7229
## Q : 3234096 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.054  0.0545   0.004 0.9508
## Residuals     11 150.528 13.6844
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7111.738
## Q : 2754903 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  18.359  18.359  1.3929 0.2628
## Residuals     11 144.982  13.180
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14182.26
## Q : 2974738 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 67.615  67.615  8.9327 0.01232 *
## Residuals     11 83.263   7.569                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24446.71
## Q : 2702304 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 221.16 221.160  10.943 0.006979 **
## Residuals     11 222.32  20.211                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14214.15
## Q : 2652772 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 76.163  76.163  10.021 0.00899 **
## Residuals     11 83.607   7.601                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12587.2
## Q : 2478299 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  63.93  63.930  3.4647 0.08961 .
## Residuals     11 202.97  18.452                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11486.32
## Q : 3251263 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 40.580  40.580  23.473 0.0005149 ***
## Residuals     11 19.016   1.729                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19130.13
## Q : 2708948 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 135.09 135.094  5.2386 0.04287 *
## Residuals     11 283.67  25.788                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8251.336
## Q : 2874893 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.682  23.683  2.3498 0.1535
## Residuals     11 110.865  10.079
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17230.84
## Q : 2347862 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 126.46  126.46   6.542 0.02663 *
## Residuals     11 212.63   19.33                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10076.79
## Q : 2176573 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  46.652  46.652  2.6382 0.1326
## Residuals     11 194.517  17.683
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7537.085
## Q : 3515982 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  16.16  16.157  0.5474 0.4749
## Residuals     11 324.66  29.515
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11628.41
## Q : 2259123 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 59.855  59.855  11.596 0.005873 **
## Residuals     11 56.777   5.162                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12148.49
## Q : 3474218 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 42.480  42.480  7.7309 0.01789 *
## Residuals     11 60.444   5.495                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16096.72
## Q : 2519561 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 102.84 102.837  8.2407 0.01522 *
## Residuals     11 137.27  12.479                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10497.09
## Q : 1922370 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 57.319  57.319  12.973 0.004156 **
## Residuals     11 48.601   4.418                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13353.05
## Q : 3532479 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  50.476  50.476  3.1759 0.1023
## Residuals     11 174.827  15.893
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15988.59
## Q : 2939907 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 86.953  86.953  17.289 0.001595 **
## Residuals     11 55.324   5.029                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12001
## Q : 3172734 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 45.394  45.394  5.7088 0.0359 *
## Residuals     11 87.467   7.952                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11292.44
## Q : 3242947 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  39.322  39.322  2.5439  0.139
## Residuals     11 170.030  15.457
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18019.38
## Q : 3163219 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 102.648  102.65  17.427 0.001551 **
## Residuals     11  64.794    5.89                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17677.56
## Q : 3764480 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 83.012  83.012  12.194 0.005041 **
## Residuals     11 74.883   6.808                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12535.93
## Q : 1835066 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  85.637  85.637  8.4846 0.01412 *
## Residuals     11 111.025  10.093                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20000.87
## Q : 3732240 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 107.184 107.184  13.734 0.003465 **
## Residuals     11  85.844   7.804                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5797.465
## Q : 2499229 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.448  13.448  0.8351 0.3804
## Residuals     11 177.140  16.104
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12261.65
## Q : 3158302 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  47.604  47.604  3.7578 0.07864 .
## Residuals     11 139.348  12.668                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10982.43
## Q : 2399982 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  50.256  50.256  5.4883 0.03899 *
## Residuals     11 100.726   9.157                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12113.3
## Q : 2755709 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 53.247  53.247  40.447 5.372e-05 ***
## Residuals     11 14.481   1.316                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10180.42
## Q : 2141307 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  48.401  48.401   3.975 0.07157 .
## Residuals     11 133.939  12.176                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5813.027
## Q : 2202539 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 15.342 15.3420  2.1772 0.1681
## Residuals     11 77.511  7.0465
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 32487.26
## Q : 3099417 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 340.52  340.52  8.5571 0.01381 *
## Residuals     11 437.73   39.79                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16604.26
## Q : 3129011 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 88.111  88.111  12.997 0.004132 **
## Residuals     11 74.572   6.779                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9950.92
## Q : 3198214 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 30.961 30.9613   4.381 0.06032 .
## Residuals     11 77.739  7.0672                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7217.135
## Q : 2297830 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 22.668 22.6679  3.3831 0.09299 .
## Residuals     11 73.705  6.7004                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15878.26
## Q : 2715700 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  92.838  92.838  6.6258 0.02586 *
## Residuals     11 154.127  14.012                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6999.999
## Q : 3601425 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.606  13.606  0.5295  0.482
## Residuals     11 282.666  25.697
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19725.52
## Q : 2307203 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 168.64 168.644   13.91 0.003326 **
## Residuals     11 133.37  12.124                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6297.308
## Q : 2689915 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.743  14.742  1.0154 0.3353
## Residuals     11 159.709  14.519
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3913.385
## Q : 2719517 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.631  5.6314  0.2575 0.6219
## Residuals     11 240.558 21.8690
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11620.61
## Q : 4032892 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  33.484  33.484   1.799 0.2069
## Residuals     11 204.740  18.613
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16575.6
## Q : 2307767 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 119.06 119.055  8.5718 0.01375 *
## Residuals     11 152.78  13.889                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10026.53
## Q : 2880581 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  34.90  34.900  2.3947   0.15
## Residuals     11 160.31  14.574
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6510.939
## Q : 2670256 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.876  15.876  1.6727 0.2224
## Residuals     11 104.401   9.491
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18971.39
## Q : 3384304 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 106.348  106.35  14.123 0.003165 **
## Residuals     11  82.833    7.53                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12910.33
## Q : 2947936 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 56.540  56.540  24.519 0.0004345 ***
## Residuals     11 25.366   2.306                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10411.72
## Q : 2015154 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  53.794  53.794   3.946 0.07246 .
## Residuals     11 149.958  13.633                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3532.915
## Q : 2097186 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.952  5.9515   0.268 0.6149
## Residuals     11 244.298 22.2089
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4828.37
## Q : 2594359 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.986  8.9861  0.6286 0.4446
## Residuals     11 157.241 14.2946
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10336.11
## Q : 3662267 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.172  29.172  2.3077 0.1569
## Residuals     11 139.051  12.641
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13909.73
## Q : 2837107 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  68.196  68.196  6.3793 0.02819 *
## Residuals     11 117.593  10.690                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8991.631
## Q : 1722344 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  46.942  46.942    1.78 0.2091
## Residuals     11 290.091  26.372
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11126.7
## Q : 2799459 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 44.224  44.224  7.3402 0.02032 *
## Residuals     11 66.274   6.025                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20505.89
## Q : 3448668 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 121.93 121.929  12.364 0.00483 **
## Residuals     11 108.48   9.862                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13465.27
## Q : 2766467 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  65.54  65.540  6.7518 0.02476 *
## Residuals     11 106.78   9.707                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12225.25
## Q : 2335640 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 63.990  63.990  9.6138 0.01009 *
## Residuals     11 73.216   6.656                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15605.01
## Q : 3471026 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 70.157  70.157  13.209 0.003927 **
## Residuals     11 58.426   5.311                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20532.03
## Q : 2773676 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 151.99 151.988  6.6447 0.02569 *
## Residuals     11 251.61  22.873                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12667.36
## Q : 2525484 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 63.537  63.537  18.994 0.00114 **
## Residuals     11 36.796   3.345                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11171.4
## Q : 3566559 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 34.992  34.992  5.9275 0.03314 *
## Residuals     11 64.937   5.903                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17227.81
## Q : 2588651 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 114.653 114.653  14.392 0.002976 **
## Residuals     11  87.631   7.966                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11955.16
## Q : 2294680 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.286  62.286  6.0437 0.03177 *
## Residuals     11 113.365  10.306                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17134.46
## Q : 2991164 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 98.152  98.152   11.85 0.005502 **
## Residuals     11 91.114   8.283                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6263.918
## Q : 2948558 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.307  13.307  0.6221 0.4469
## Residuals     11 235.285  21.390
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13547.49
## Q : 3231194 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 56.801  56.801  18.458 0.001264 **
## Residuals     11 33.850   3.077                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17547.04
## Q : 3459983 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 88.989  88.989  14.149 0.003146 **
## Residuals     11 69.183   6.289                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3404.059
## Q : 2412259 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.80   4.804  0.1181 0.7376
## Residuals     11 447.54  40.686
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18651.48
## Q : 2802154 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 124.146  124.15   28.74 0.0002299 ***
## Residuals     11  47.516    4.32                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11548.06
## Q : 3404403 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  39.172  39.172  1.5275 0.2422
## Residuals     11 282.094  25.645
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7953.116
## Q : 3290406 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  19.223 19.2232  2.0482 0.1802
## Residuals     11 103.240  9.3855
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16963.33
## Q : 3764992 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.429  76.429  7.3865 0.02001 *
## Residuals     11 113.819  10.347                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8746.612
## Q : 3964911 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  19.295  19.295  1.7749 0.2097
## Residuals     11 119.583  10.871
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14031.6
## Q : 2187804 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  89.992  89.992   8.185 0.01549 *
## Residuals     11 120.942  10.995                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6790.492
## Q : 2124737 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.702  21.702  1.4559 0.2529
## Residuals     11 163.962  14.906
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9937.754
## Q : 2362542 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  41.802  41.802  3.6655 0.0819 .
## Residuals     11 125.444  11.404                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12058.19
## Q : 2111126 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 68.873  68.873  7.8247 0.01736 *
## Residuals     11 96.822   8.802                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2819.824
## Q : 3489150 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   2.279  2.2789   0.121 0.7345
## Residuals     11 207.089 18.8263
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14146.41
## Q : 1828370 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 109.45 109.453  4.4473 0.05869 .
## Residuals     11 270.73  24.611                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8103.192
## Q : 2940648 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  22.329  22.329  1.4991 0.2464
## Residuals     11 163.841  14.895
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10508.41
## Q : 2880107 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  38.341  38.341  1.8464 0.2014
## Residuals     11 228.414  20.765
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4978.608
## Q : 3015560 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.22  8.2195  0.3262 0.5794
## Residuals     11 277.20 25.1999
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14840.08
## Q : 2596808 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 84.807  84.807  9.3408 0.01092 *
## Residuals     11 99.872   9.079                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11228.44
## Q : 2702500 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  46.652  46.652  2.8684 0.1184
## Residuals     11 178.905  16.264
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8450.572
## Q : 2061886 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 34.634  34.634  7.2693 0.0208 *
## Residuals     11 52.409   4.764                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20651.58
## Q : 2856116 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 149.32 149.324  4.5702 0.05582 .
## Residuals     11 359.41  32.673                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13132.6
## Q : 2164738 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  79.67  79.670    1.68 0.2215
## Residuals     11 521.66  47.424
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24526.64
## Q : 3174455 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 189.50 189.499   10.68 0.007491 **
## Residuals     11 195.17  17.743                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17883.2
## Q : 2439165 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 131.11 131.114  12.025 0.005261 **
## Residuals     11 119.94  10.904                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6513.653
## Q : 3371191 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 12.585 12.5854  1.6885 0.2204
## Residuals     11 81.989  7.4536
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20157.04
## Q : 2732407 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 148.70 148.699  14.609 0.002832 **
## Residuals     11 111.96  10.178                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16769.88
## Q : 3250953 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  86.507  86.507  7.0095 0.02269 *
## Residuals     11 135.754  12.341                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21246.95
## Q : 2679986 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 168.45 168.446    7.07 0.02223 *
## Residuals     11 262.08  23.825                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12825.81
## Q : 2594588 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 63.402  63.402  9.1276 0.01163 *
## Residuals     11 76.408   6.946                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9805.236
## Q : 2657005 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  36.185  36.185   2.927 0.1151
## Residuals     11 135.985  12.362
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8734.752
## Q : 2671523 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.559  28.559  1.8178 0.2047
## Residuals     11 172.814  15.710
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9135.432
## Q : 2992030 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.893  27.893   2.303 0.1573
## Residuals     11 133.228  12.112
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6537.876
## Q : 2226111 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 19.201 19.2011  2.5858 0.1361
## Residuals     11 81.681  7.4256
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7817.264
## Q : 2363767 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.853  25.853  2.8288 0.1207
## Residuals     11 100.529   9.139
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12255.81
## Q : 2939552 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  51.098  51.098  2.1661 0.1691
## Residuals     11 259.487  23.590
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8254.683
## Q : 1557218 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.757  43.757  6.9149 0.02342 *
## Residuals     11 69.608   6.328                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16959.57
## Q : 2651041 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 108.50 108.496   8.432 0.01435 *
## Residuals     11 141.54  12.867                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13797.8
## Q : 2502351 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.08  76.080   6.498 0.02704 *
## Residuals     11 128.79  11.708                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4489.064
## Q : 2515300 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.012  8.0116  0.3656 0.5577
## Residuals     11 241.025 21.9114
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8184.739
## Q : 1846520 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 36.279  36.279  6.8338 0.02408 *
## Residuals     11 58.396   5.309                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11401.28
## Q : 3015833 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  43.102  43.102   3.048 0.1087
## Residuals     11 155.554  14.141
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9064.111
## Q : 2070048 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  39.689  39.689  2.0968 0.1755
## Residuals     11 208.213  18.928
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6620.621
## Q : 1954350 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  22.428  22.428  1.5549 0.2383
## Residuals     11 158.664  14.424
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16079.36
## Q : 3167507 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  81.624  81.624  6.0215 0.03202 *
## Residuals     11 149.109  13.555                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10836.74
## Q : 2193167 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  53.546  53.546  4.1932 0.06523 .
## Residuals     11 140.465  12.770                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22920.91
## Q : 3221277 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 163.09 163.093  10.367 0.008162 **
## Residuals     11 173.05  15.732                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6367.056
## Q : 2759438 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.691  14.691  0.8957 0.3643
## Residuals     11 180.416  16.401
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9050.901
## Q : 3443632 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 23.788 23.7885  2.8087 0.1219
## Residuals     11 93.165  8.4695
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7859.499
## Q : 2385173 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 25.898 25.8982   6.667 0.0255 *
## Residuals     11 42.730  3.8845                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17755.94
## Q : 2593807 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 121.548 121.548  15.613 0.002267 **
## Residuals     11  85.634   7.785                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7409.793
## Q : 2424771 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 22.643 22.6434  2.8488 0.1196
## Residuals     11 87.433  7.9484
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15999.79
## Q : 2902545 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  88.196  88.196  3.3667 0.09369 .
## Residuals     11 288.165  26.197                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16582.24
## Q : 3703736 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 74.241  74.241  10.396 0.008097 **
## Residuals     11 78.553   7.141                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7068.036
## Q : 2486028 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  20.095  20.095  0.8836 0.3674
## Residuals     11 250.178  22.744
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14677.94
## Q : 2797568 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  77.01  77.010  6.8284 0.02412 *
## Residuals     11 124.06  11.278                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10698.81
## Q : 2307231 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 49.611  49.611  12.767 0.004371 **
## Residuals     11 42.744   3.886                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11598.62
## Q : 3093013 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.494  43.494  6.1591 0.03048 *
## Residuals     11 77.680   7.062                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12355.26
## Q : 2515046 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  60.696  60.696  3.7811 0.07784 .
## Residuals     11 176.578  16.053                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17013.97
## Q : 3731022 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 77.586  77.586  31.793 0.0001514 ***
## Residuals     11 26.844   2.440                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16620.98
## Q : 3346245 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  82.557  82.557  5.8996 0.03347 *
## Residuals     11 153.931  13.994                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13256.4
## Q : 2332738 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  75.333  75.333  3.6256 0.08337 .
## Residuals     11 228.557  20.778                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14853.87
## Q : 2395704 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  92.097  92.097  5.4955 0.03888 *
## Residuals     11 184.346  16.759                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11920.2
## Q : 2577929 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  55.118  55.118  2.4765 0.1439
## Residuals     11 244.826  22.257
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19797.18
## Q : 3573707 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 109.670 109.670  13.535 0.003632 **
## Residuals     11  89.127   8.102                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7499.794
## Q : 2350771 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.93  23.927  0.7502 0.4049
## Residuals     11 350.82  31.893
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11295.61
## Q : 2221450 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 57.436  57.436  13.898 0.003335 **
## Residuals     11 45.459   4.133                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15395.05
## Q : 2838956 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  83.484  83.484  8.6061 0.0136 *
## Residuals     11 106.706   9.701                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4077.885
## Q : 2409025 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   6.903  6.9029  0.3621 0.5595
## Residuals     11 209.680 19.0619
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12238.2
## Q : 2811028 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 53.281  53.281  6.9954 0.02279 *
## Residuals     11 83.781   7.616                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17222.85
## Q : 2754322 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 107.69 107.695  11.536 0.005966 **
## Residuals     11 102.69   9.336                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14817.44
## Q : 2510895 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 87.442  87.442  10.005 0.00903 **
## Residuals     11 96.142   8.740                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8761.171
## Q : 2908384 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  26.392  26.392  2.1261 0.1728
## Residuals     11 136.546  12.413
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12217.6
## Q : 2096177 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 71.211  71.211  13.511 0.003653 **
## Residuals     11 57.977   5.271                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10674.57
## Q : 2256103 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  50.506  50.506  2.5932 0.1356
## Residuals     11 214.237  19.476
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10747.79
## Q : 2605420 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  44.336  44.336  4.0277 0.06997 .
## Residuals     11 121.087  11.008                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12348.28
## Q : 3133158 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 48.667  48.667  18.152 0.001342 **
## Residuals     11 29.492   2.681                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15732.17
## Q : 2689106 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  92.038  92.038  8.5713 0.01375 *
## Residuals     11 118.118  10.738                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22871.13
## Q : 2790292 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 187.47 187.467  9.5336 0.01033 *
## Residuals     11 216.30  19.664                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7687.815
## Q : 2451666 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.107  24.107  0.8472 0.3771
## Residuals     11 312.990  28.454
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14611.35
## Q : 3330691 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  64.098  64.098  4.9522 0.04791 *
## Residuals     11 142.377  12.943                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20926.73
## Q : 3925015 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 111.57 111.574  10.957 0.006952 **
## Residuals     11 112.01  10.183                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15083.83
## Q : 2956192 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 76.965  76.965  20.156 0.0009169 ***
## Residuals     11 42.003   3.818                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12969.26
## Q : 3445972 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.811  48.811  7.4463 0.01962 *
## Residuals     11 72.106   6.555                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15441.62
## Q : 3119913 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.426  76.426  6.9225 0.02336 *
## Residuals     11 121.442  11.040                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10325.01
## Q : 2010214 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  53.03  53.032  1.2275 0.2915
## Residuals     11 475.26  43.205
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13377.93
## Q : 2250613 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  79.52  79.520   16.32 0.001949 **
## Residuals     11  53.60   4.873                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12087.59
## Q : 2389865 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  61.137  61.137  4.3292 0.06163 .
## Residuals     11 155.344  14.122                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9031.03
## Q : 2819074 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 28.931 28.9313  4.3748 0.06047 .
## Residuals     11 72.744  6.6131                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18523.51
## Q : 2716339 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 126.32  126.32  9.5118 0.01039 *
## Residuals     11 146.08   13.28                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14134.17
## Q : 2579549 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  77.446  77.446  7.1882 0.02137 *
## Residuals     11 118.514  10.774                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16251.75
## Q : 2968747 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  88.967  88.967  8.9692 0.01219 *
## Residuals     11 109.110   9.919                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7680.258
## Q : 2838871 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  20.78  20.778  0.7029 0.4197
## Residuals     11 325.18  29.562
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5715.632
## Q : 3618165 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  9.029   9.029  1.2336 0.2904
## Residuals     11 80.509   7.319
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12528.81
## Q : 3051614 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.439  51.439  4.1602 0.06614 .
## Residuals     11 136.010  12.365                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1125.66
## Q : 2571466 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.493  0.4928  0.0306 0.8642
## Residuals     11 176.851 16.0773
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5004.083
## Q : 2339632 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 10.703  10.703  2.0888 0.1763
## Residuals     11 56.364   5.124
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10459
## Q : 2153016 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  50.808  50.808  5.5635 0.0379 *
## Residuals     11 100.457   9.132                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14498.36
## Q : 2606938 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  80.632  80.632  4.2622 0.06337 .
## Residuals     11 208.095  18.918                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12596.71
## Q : 2234099 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 71.025  71.025  20.439 0.0008706 ***
## Residuals     11 38.224   3.475                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14883.42
## Q : 2832022 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  78.218  78.218  4.7329 0.05227 .
## Residuals     11 181.793  16.527                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13438.25
## Q : 2674383 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 67.525  67.525   8.363 0.01466 *
## Residuals     11 88.816   8.074                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12603.47
## Q : 2820754 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  56.314  56.314   3.179 0.1022
## Residuals     11 194.857  17.714
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11642.92
## Q : 2734205 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 49.578  49.578  22.236 0.0006341 ***
## Residuals     11 24.526   2.230                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10650.12
## Q : 2275823 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 49.839  49.839  6.4106 0.02788 *
## Residuals     11 85.519   7.774                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10102.67
## Q : 2691457 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  37.92  37.921  1.2515 0.2871
## Residuals     11 333.30  30.300
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17928.04
## Q : 2423813 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 132.61 132.607  16.293 0.00196 **
## Residuals     11  89.53   8.139                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17028.37
## Q : 2857185 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 101.49 101.486  7.5672 0.01886 *
## Residuals     11 147.53  13.411                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17369.01
## Q : 2572165 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 117.29 117.287  5.8875 0.03362 *
## Residuals     11 219.14  19.922                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12040.57
## Q : 2818878 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.43  51.430  4.7135 0.05268 .
## Residuals     11 120.02  10.911                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6947.674
## Q : 2235920 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 21.589 21.5885  2.4211  0.148
## Residuals     11 98.086  8.9169
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1294.349
## Q : 2740991 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.611  0.6112  0.0256 0.8757
## Residuals     11 262.310 23.8464
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7904.613
## Q : 2217220 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 28.181 28.1807  3.4028 0.09216 .
## Residuals     11 91.097  8.2816                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10248.16
## Q : 2171366 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.368  48.368  7.0988 0.02201 *
## Residuals     11 74.949   6.814                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13935.21
## Q : 1803647 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 107.665 107.665  12.498 0.004672 **
## Residuals     11  94.762   8.615                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22195.22
## Q : 3494200 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 140.98 140.984  14.666 0.002796 **
## Residuals     11 105.74   9.613                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14751.99
## Q : 2586293 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  84.144  84.144   4.567 0.05589 .
## Residuals     11 202.669  18.424                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17486.78
## Q : 3072710 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  99.517  99.517   9.153 0.01154 *
## Residuals     11 119.599  10.873                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14163.29
## Q : 2751552 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 72.904  72.904  12.127 0.005127 **
## Residuals     11 66.129   6.012                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12093.63
## Q : 2912708 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 50.213  50.213  21.529 0.0007167 ***
## Residuals     11 25.656   2.332                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11547.83
## Q : 2759616 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  48.323  48.323  3.2174 0.1004
## Residuals     11 165.210  15.019
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15538.63
## Q : 2333700 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 103.462 103.462  17.235 0.001612 **
## Residuals     11  66.033   6.003                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12102.31
## Q : 2627282 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  55.748  55.748  3.5449 0.08643 .
## Residuals     11 172.988  15.726                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11160.9
## Q : 2745292 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  45.374  45.374   2.577 0.1367
## Residuals     11 193.683  17.608
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9370.12
## Q : 3128125 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.068  28.068   1.906 0.1948
## Residuals     11 161.989  14.726
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11631.51
## Q : 3533254 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  38.291  38.291  3.2333 0.09963 .
## Residuals     11 130.271  11.843                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -899.4608
## Q : 2487365 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.325  0.3253  0.0125 0.9131
## Residuals     11 287.175 26.1069
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9046.68
## Q : 3036352 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 26.954 26.9542  4.1736 0.06577 .
## Residuals     11 71.040  6.4582                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9335.952
## Q : 2838975 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 30.701 30.7012  3.6365 0.08297 .
## Residuals     11 92.867  8.4424                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -55.51111
## Q : 2517627 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.00  0.0012       0  0.995
## Residuals     11 333.75 30.3412
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10885.42
## Q : 3016505 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  39.281  39.281   3.418 0.09152 .
## Residuals     11 126.418  11.493                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6316.862
## Q : 2448147 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  16.30  16.299  0.5179 0.4867
## Residuals     11 346.17  31.470
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12178.11
## Q : 2656442 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  55.829  55.829  6.0469 0.03173 *
## Residuals     11 101.559   9.233                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4408.291
## Q : 2366728 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.211  8.2109  0.4386 0.5214
## Residuals     11 205.931 18.7210
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10919.25
## Q : 2190622 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 54.427  54.427  7.4676 0.01948 *
## Residuals     11 80.174   7.289                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6484.699
## Q : 2728964 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 15.409 15.4093  1.7273 0.2155
## Residuals     11 98.129  8.9208
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8752.989
## Q : 2794591 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 27.415 27.4154  6.0185 0.03206 *
## Residuals     11 50.107  4.5552                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8763.174
## Q : 3069881 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 25.015 25.0151   3.661 0.08207 .
## Residuals     11 75.160  6.8328                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3301.71
## Q : 3423259 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.184  3.1845  0.1381 0.7172
## Residuals     11 253.585 23.0531
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7570.917
## Q : 2540845 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  22.559  22.559  1.2206 0.2928
## Residuals     11 203.303  18.482
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12510.44
## Q : 3036734 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.539  51.539  4.5019 0.05739 .
## Residuals     11 125.932  11.448                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12866.24
## Q : 2335277 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 70.887  70.887   8.248 0.01519 *
## Residuals     11 94.538   8.594                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13476.98
## Q : 1726738 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 105.19 105.186  2.9166 0.1157
## Residuals     11 396.71  36.064
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7205.624
## Q : 2042929 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.415  25.415  1.4672 0.2512
## Residuals     11 190.547  17.322
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20091.25
## Q : 3548535 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 113.75 113.754  6.7881 0.02446 *
## Residuals     11 184.34  16.758                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19201.35
## Q : 4126884 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  89.339  89.339  5.2082 0.04337 *
## Residuals     11 188.689  17.154                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3274.388
## Q : 2924870 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.666  3.6657  0.3402 0.5715
## Residuals     11 118.523 10.7748
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14465.61
## Q : 3158906 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  66.243  66.243  4.2532 0.06361 .
## Residuals     11 171.322  15.575                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7259.554
## Q : 3477341 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.156  15.156   0.542  0.477
## Residuals     11 307.574  27.961
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15057.11
## Q : 2305248 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  98.348  98.348  10.553 0.007755 **
## Residuals     11 102.511   9.319                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12062.76
## Q : 2568265 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  56.657  56.657  4.3598 0.06085 .
## Residuals     11 142.949  12.995                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8151.846
## Q : 2833293 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 23.454 23.4542  9.1852 0.01143 *
## Residuals     11 28.088  2.5535                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14116.45
## Q : 2600929 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.617  76.617  4.9133 0.04865 *
## Residuals     11 171.530  15.594                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20485.2
## Q : 2853851 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 147.04 147.045  5.7503 0.03536 *
## Residuals     11 281.29  25.572                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7754.68
## Q : 2503695 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 24.019 24.0185  3.1551 0.1033
## Residuals     11 83.740  7.6127
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15350.41
## Q : 2720539 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 86.613  86.613  11.897 0.005436 **
## Residuals     11 80.086   7.281                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3121.206
## Q : 2991156 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.257  3.2569  0.1352 0.7201
## Residuals     11 264.986 24.0897
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11049.82
## Q : 2424295 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  50.365  50.365   2.225 0.1639
## Residuals     11 248.992  22.636
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12895.35
## Q : 2351544 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  70.72  70.715  2.2034 0.1658
## Residuals     11 353.03  32.094
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8095.665
## Q : 3218684 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  20.362 20.3623   2.115 0.1738
## Residuals     11 105.904  9.6276
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9063.239
## Q : 2779558 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.552 29.5523  3.0932 0.1064
## Residuals     11 105.093  9.5539
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24170.23
## Q : 3180519 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 183.68 183.681  15.524 0.002312 **
## Residuals     11 130.15  11.832                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10816.82
## Q : 3253698 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 35.960  35.960  6.4748 0.02726 *
## Residuals     11 61.093   5.554                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13226.13
## Q : 2414333 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 72.455  72.455  12.419 0.004764 **
## Residuals     11 64.175   5.834                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12728.6
## Q : 2619099 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  61.86  61.860  3.7816 0.07783 .
## Residuals     11 179.94  16.358                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18467.33
## Q : 2602499 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 131.044 131.044  25.283 0.000385 ***
## Residuals     11  57.014   5.183                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11801.5
## Q : 3621371 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 38.459  38.459  4.3381 0.0614 .
## Residuals     11 97.520   8.865                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16815.05
## Q : 3071947 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  92.041  92.041  6.1046 0.03108 *
## Residuals     11 165.851  15.077                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7967.481
## Q : 2424069 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  26.188  26.188  1.4907 0.2476
## Residuals     11 193.235  17.567
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6611.32
## Q : 3577551 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 12.218 12.2177  1.4782 0.2495
## Residuals     11 90.920  8.2654
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11846.02
## Q : 2661883 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 52.718  52.718  8.5896 0.01367 *
## Residuals     11 67.511   6.137                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10127.96
## Q : 2782633 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  36.863  36.863  1.9355 0.1917
## Residuals     11 209.502  19.046
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15475.59
## Q : 2708688 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 88.417  88.417  11.151 0.006601 **
## Residuals     11 87.217   7.929                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12437.4
## Q : 2512284 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  61.573  61.573  3.3075 0.09627 .
## Residuals     11 204.776  18.616                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10340.78
## Q : 3101305 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 34.480  34.480  4.8469 0.04995 *
## Residuals     11 78.251   7.114                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13436.6
## Q : 3036437 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 59.459  59.459  21.866 0.0006758 ***
## Residuals     11 29.912   2.719                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18555.2
## Q : 2334344 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 147.49 147.491  10.284 0.008352 **
## Residuals     11 157.76  14.342                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9966.161
## Q : 2458900 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 40.394  40.394    5.42   0.04 *
## Residuals     11 81.979   7.453                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10304.38
## Q : 3281587 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  32.356  32.356  2.8632 0.1187
## Residuals     11 124.309  11.301
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9908.732
## Q : 2628644 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  37.351  37.351   3.457 0.08992 .
## Residuals     11 118.848  10.804                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12956.37
## Q : 2244857 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 74.779  74.779  13.128 0.004004 **
## Residuals     11 62.657   5.696                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12190.46
## Q : 2757959 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  53.883  53.883  2.0968 0.1755
## Residuals     11 282.675  25.698
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20001.2
## Q : 3263897 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 122.57 122.568  12.482 0.00469 **
## Residuals     11 108.01   9.819                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16125.51
## Q : 3569263 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 72.853  72.853  12.938 0.004192 **
## Residuals     11 61.938   5.631                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10376.52
## Q : 2883729 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 37.338  37.338  4.1572 0.06623 .
## Residuals     11 98.797   8.982                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20687.95
## Q : 2847855 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 150.28 150.285  13.811 0.003404 **
## Residuals     11 119.70  10.882                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13694.91
## Q : 2972865 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  63.088  63.088  2.7553 0.1251
## Residuals     11 251.864  22.897
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21899.85
## Q : 3694771 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 129.81 129.806  4.7238 0.05246 .
## Residuals     11 302.27  27.479                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11297.59
## Q : 2360178 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 54.079  54.079  6.8318 0.0241 *
## Residuals     11 87.074   7.916                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8948.424
## Q : 3184738 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.143  25.143    1.26 0.2856
## Residuals     11 219.510  19.956
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15184.98
## Q : 2517181 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 91.604  91.604   18.42 0.001273 **
## Residuals     11 54.704   4.973                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16121.95
## Q : 2265353 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 114.74 114.736  4.2112 0.06474 .
## Residuals     11 299.70  27.245                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14581.68
## Q : 3072815 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 69.196  69.196  16.784 0.001769 **
## Residuals     11 45.350   4.123                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13596.8
## Q : 4181639 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  44.211  44.211  2.2477  0.162
## Residuals     11 216.365  19.670
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18082.94
## Q : 3325806 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 98.320  98.320  12.002 0.005293 **
## Residuals     11 90.114   8.192                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9357.626
## Q : 3072083 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.504  28.503  2.5166  0.141
## Residuals     11 124.590  11.326
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15243.66
## Q : 3020247 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  76.937  76.937  3.0105 0.1106
## Residuals     11 281.116  25.556
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15167.93
## Q : 2303187 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  99.89   99.89  5.1122 0.04501 *
## Residuals     11 214.94   19.54                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9940.573
## Q : 2452046 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 40.299  40.299   6.385 0.02813 *
## Residuals     11 69.426   6.311                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25175.37
## Q : 2989697 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 211.99 211.994   9.799 0.009572 **
## Residuals     11 237.98  21.634                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13047.46
## Q : 2559186 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  66.52  66.520  4.1801 0.06559 .
## Residuals     11 175.05  15.913                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9736.85
## Q : 3453026 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 27.456 27.4560  3.4777 0.08908 .
## Residuals     11 86.844  7.8949                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10989.45
## Q : 2734061 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  44.172  44.172  2.6148 0.1342
## Residuals     11 185.824  16.893
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7034.602
## Q : 2546380 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 19.434 19.4337  5.8262 0.03439 *
## Residuals     11 36.691  3.3356                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4903.877
## Q : 2467341 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   9.747  9.7465  0.5584 0.4706
## Residuals     11 192.007 17.4552
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8415.246
## Q : 3354537 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 21.111 21.1106  4.9554 0.04785 *
## Residuals     11 46.861  4.2601                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10767.96
## Q : 3099973 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  37.403  37.403  3.5003 0.08818 .
## Residuals     11 117.542  10.686                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12400.48
## Q : 1971171 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  78.01   78.01  6.8014 0.02435 *
## Residuals     11 126.17   11.47                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12684.5
## Q : 3017916 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  53.31  53.314  1.5948 0.2328
## Residuals     11 367.73  33.430
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15806.7
## Q : 3728920 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  67.004  67.004  4.6245 0.0546 .
## Residuals     11 159.376  14.489                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13803.52
## Q : 2722330 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  69.99  69.990  7.1081 0.02195 *
## Residuals     11 108.31   9.847                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18225
## Q : 3110649 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 106.779 106.779   21.78 0.0006859 ***
## Residuals     11  53.928   4.903                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11337.82
## Q : 2640378 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  48.685  48.685  2.9476  0.114
## Residuals     11 181.682  16.517
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24638.61
## Q : 3050705 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 198.99 198.990   12.17 0.005071 **
## Residuals     11 179.86  16.351                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20700.38
## Q : 2412785 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 177.60 177.598  8.8383 0.01268 *
## Residuals     11 221.04  20.094                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13512.26
## Q : 3547790 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 51.463  51.463  6.9664 0.02302 *
## Residuals     11 81.261   7.387                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16099.05
## Q : 2808775 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 92.275  92.275  16.826 0.001753 **
## Residuals     11 60.323   5.484                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11750.52
## Q : 3240071 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 42.615  42.615  5.6979 0.03605 *
## Residuals     11 82.270   7.479                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14268.29
## Q : 2886951 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  70.519  70.519  3.0575 0.1082
## Residuals     11 253.707  23.064
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13000.78
## Q : 3872491 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  43.646  43.646  3.7034 0.08055 .
## Residuals     11 129.641  11.786                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14768.73
## Q : 2734464 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  79.765  79.765  7.6348 0.01845 *
## Residuals     11 114.923  10.448                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7761.298
## Q : 2148988 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 28.031 28.0308  4.2422 0.0639 .
## Residuals     11 72.684  6.6076                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10217.19
## Q : 3095229 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 33.726  33.726    4.56 0.05605 .
## Residuals     11 81.357   7.396                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5899.634
## Q : 2480109 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.034  14.034  0.9342 0.3546
## Residuals     11 165.255  15.023
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8522.144
## Q : 2202794 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  32.97  32.970  5.9425 0.03296 *
## Residuals     11  61.03   5.548                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16874.68
## Q : 2358850 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 120.72 120.718  3.9876 0.07118 .
## Residuals     11 333.01  30.274                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12418.37
## Q : 3045265 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 50.641  50.641  25.483 0.0003732 ***
## Residuals     11 21.860   1.987                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17597.15
## Q : 2108224 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 146.88 146.882  6.9206 0.02338 *
## Residuals     11 233.46  21.224                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12131.06
## Q : 2884684 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.015  51.015  4.7633 0.05164 .
## Residuals     11 117.810  10.710                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22656.38
## Q : 2874812 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 178.56 178.555  6.9041 0.02351 *
## Residuals     11 284.49  25.862                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22360.55
## Q : 3070915 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 162.82 162.816  13.024 0.004106 **
## Residuals     11 137.52  12.502                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12912.01
## Q : 2447616 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 68.115  68.115  11.312 0.006327 **
## Residuals     11 66.240   6.022                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10208.38
## Q : 2743507 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  37.985  37.985  2.8553 0.1192
## Residuals     11 146.334  13.303
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15274.47
## Q : 2600691 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  89.711  89.711  4.3793 0.06036 .
## Residuals     11 225.338  20.485                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5614.853
## Q : 2323441 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.569  13.569  0.5708 0.4658
## Residuals     11 261.486  23.771
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12749.14
## Q : 2563595 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 63.403  63.403   7.746 0.0178 *
## Residuals     11 90.038   8.185                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18700.95
## Q : 3502155 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  99.86   99.86  3.9008 0.07389 .
## Residuals     11 281.60   25.60                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3096.588
## Q : 2994761 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.202  3.2019  0.2804  0.607
## Residuals     11 125.619 11.4199
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24488.28
## Q : 3555496 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 168.66 168.662   5.615 0.03718 *
## Residuals     11 330.42  30.038                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12598.99
## Q : 2770817 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 57.288  57.288   19.27 0.001081 **
## Residuals     11 32.702   2.973                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13199.97
## Q : 3002386 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  58.034  58.034  3.3842 0.09294 .
## Residuals     11 188.631  17.148                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10635.08
## Q : 3032648 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 37.296  37.296  4.9764 0.04746 *
## Residuals     11 82.440   7.495                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10614.88
## Q : 2786802 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 40.432  40.432  9.7122 0.009812 **
## Residuals     11 45.793   4.163                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8908.132
## Q : 3279632 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.196  24.196  1.9215 0.1931
## Residuals     11 138.514  12.592
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12404.08
## Q : 1883977 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  81.668  81.668  6.6212 0.0259 *
## Residuals     11 135.679  12.334                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9567.112
## Q : 2603770 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 35.153  35.153   12.75 0.004389 **
## Residuals     11 30.328   2.757                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8703.898
## Q : 2362550 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  32.07  32.066   0.845 0.3777
## Residuals     11 417.43  37.948
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14226.18
## Q : 3129389 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 64.672  64.672  7.1599 0.02157 *
## Residuals     11 99.359   9.033                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15475.21
## Q : 2907177 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 82.376  82.376  10.059 0.008895 **
## Residuals     11 90.087   8.190                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11017.15
## Q : 2558869 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  47.434  47.434  4.9637 0.0477 *
## Residuals     11 105.119   9.556                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14959.4
## Q : 2650861 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 84.419  84.419  15.026 0.00258 **
## Residuals     11 61.802   5.618                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2496.013
## Q : 3215256 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   1.938  1.9377  0.1451 0.7105
## Residuals     11 146.898 13.3544
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9279.862
## Q : 2596445 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  33.167  33.167  3.0901 0.1065
## Residuals     11 118.066  10.733
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10402.74
## Q : 2152790 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 50.268  50.268  11.214 0.006492 **
## Residuals     11 49.308   4.483                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14237.18
## Q : 2608818 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 77.697  77.697  12.738 0.004403 **
## Residuals     11 67.098   6.100                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10217.68
## Q : 2153561 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.478  48.478  6.1683 0.03038 *
## Residuals     11 86.452   7.859                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9817.18
## Q : 3266349 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.506  29.506  2.7477 0.1256
## Residuals     11 118.123  10.739
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10164.2
## Q : 2623947 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 39.372  39.372  5.5412 0.03822 *
## Residuals     11 78.159   7.105                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13175.3
## Q : 2157731 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  80.45  80.450  3.7277 0.07969 .
## Residuals     11 237.40  21.582                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19267.57
## Q : 3073649 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 120.78 120.781   7.101  0.022 *
## Residuals     11 187.10  17.009                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11165.02
## Q : 3005027 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  41.483  41.483  3.0083 0.1107
## Residuals     11 151.687  13.790
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14101.13
## Q : 3248788 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 61.205  61.205  12.956 0.004174 **
## Residuals     11 51.965   4.724                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15265.41
## Q : 2189908 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 106.41  106.41   6.144 0.03064 *
## Residuals     11 190.52   17.32                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4320.669
## Q : 2960648 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   6.305  6.3054    0.38 0.5502
## Residuals     11 182.537 16.5943
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11959.07
## Q : 3087738 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  46.319  46.319  3.3176 0.09582 .
## Residuals     11 153.576  13.961                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13259.15
## Q : 2777618 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  63.293  63.293   4.947 0.04801 *
## Residuals     11 140.739  12.794                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10370.26
## Q : 1918672 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  56.05   56.05  3.8549 0.07538 .
## Residuals     11 159.94   14.54                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9359.193
## Q : 2531469 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 34.602  34.602    10.4 0.008088 **
## Residuals     11 36.599   3.327                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19458.88
## Q : 3198897 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 118.368 118.368  18.742 0.001196 **
## Residuals     11  69.472   6.316                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10226.73
## Q : 2099229 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  49.82  49.821  1.5854 0.2341
## Residuals     11 345.68  31.426
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6182.391
## Q : 2430472 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 15.726 15.7261  3.3219 0.09564 .
## Residuals     11 52.076  4.7342                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20166.82
## Q : 3637096 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 111.82 111.820  3.8115 0.07681 .
## Residuals     11 322.71  29.337                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13495.35
## Q : 2528244 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 72.036  72.036  13.773 0.003434 **
## Residuals     11 57.533   5.230                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17489.36
## Q : 2647733 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 115.52 115.524  8.1118 0.01585 *
## Residuals     11 156.66  14.242                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4793.675
## Q : 2447484 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   9.389   9.389  0.5191 0.4863
## Residuals     11 198.956  18.087
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15432.18
## Q : 3582175 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  66.483  66.483  4.3698 0.0606 .
## Residuals     11 167.355  15.214                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18854.54
## Q : 3009119 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 118.139 118.139  14.399 0.002971 **
## Residuals     11  90.248   8.204                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12719.64
## Q : 2935419 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 55.116  55.116  9.1922 0.01141 *
## Residuals     11 65.956   5.996                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3582.915
## Q : 2472003 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.193  5.1931   0.371 0.5548
## Residuals     11 153.987 13.9988
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8106.773
## Q : 2313231 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.41 28.4104  3.0376 0.1092
## Residuals     11 102.88  9.3529
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8125.153
## Q : 2811831 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 23.479 23.4787  6.1352 0.03074 *
## Residuals     11 42.096  3.8269                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11603.66
## Q : 3682139 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  36.567  36.567  3.6122 0.08387 .
## Residuals     11 111.355  10.123                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15965.61
## Q : 2539235 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 100.385  100.39   22.31 0.000626 ***
## Residuals     11  49.495    4.50                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5220.403
## Q : 3806984 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   7.16  7.1586  0.2431 0.6317
## Residuals     11 323.95 29.4496
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12011.92
## Q : 2056744 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 70.153  70.153  10.968 0.006932 **
## Residuals     11 70.359   6.396                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8037.485
## Q : 2987088 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 21.627 21.6268  2.8234  0.121
## Residuals     11 84.259  7.6599
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12815.85
## Q : 3605961 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  45.548  45.548   2.492 0.1427
## Residuals     11 201.055  18.278
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3620.892
## Q : 2657095 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.934  4.9343  0.2045 0.6599
## Residuals     11 265.376 24.1251
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10450.42
## Q : 3040050 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  35.924  35.924  2.4938 0.1426
## Residuals     11 158.456  14.405
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10516
## Q : 2577756 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 42.900  42.900  11.959 0.005351 **
## Residuals     11 39.462   3.587                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7485.214
## Q : 2623025 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.36  21.360  1.1703 0.3025
## Residuals     11 200.77  18.252
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13862.94
## Q : 3162425 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  60.77  60.770  34.617 0.0001056 ***
## Residuals     11  19.31   1.755                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3628.515
## Q : 3801036 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.464  3.4638  0.2548 0.6237
## Residuals     11 149.548 13.5953
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9088.742
## Q : 2993133 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 27.598 27.5982  6.5279 0.02676 *
## Residuals     11 46.505  4.2277                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9663.16
## Q : 1751901 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  53.30  53.300  5.5326 0.03834 *
## Residuals     11 105.97   9.634                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12314.35
## Q : 2522849 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 60.108  60.108  7.5357 0.01906 *
## Residuals     11 87.741   7.976                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6691.19
## Q : 3523740 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  12.706  12.706  1.1851 0.2996
## Residuals     11 117.933  10.721
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6985.206
## Q : 4587279 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  10.637  10.637   0.589  0.459
## Residuals     11 198.659  18.060
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5282.446
## Q : 3123645 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.933  8.9332  0.6013 0.4544
## Residuals     11 163.415 14.8559
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5076.244
## Q : 3548502 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   7.262  7.2617  0.4471 0.5175
## Residuals     11 178.648 16.2407
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4088.752
## Q : 3549458 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.71   4.710  0.1007 0.7569
## Residuals     11 514.27  46.751
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8698.532
## Q : 2521092 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 30.013 30.0126  6.2101 0.02993 *
## Residuals     11 53.161  4.8328                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12683.34
## Q : 2270343 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 70.856  70.856  9.6267 0.01006 *
## Residuals     11 80.963   7.360                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5304.347
## Q : 2715238 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  10.362  10.362  0.5556 0.4717
## Residuals     11 205.170  18.652
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15830.25
## Q : 3571386 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 70.168  70.168  15.541 0.002303 **
## Residuals     11 49.666   4.515                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9834.459
## Q : 2187810 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  44.207  44.207  1.9015 0.1953
## Residuals     11 255.740  23.249
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8435.604
## Q : 2264196 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 31.428 31.4281  4.0151 0.07035 .
## Residuals     11 86.101  7.8274                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10399.66
## Q : 2644182 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  40.902  40.902    1.44 0.2553
## Residuals     11 312.440  28.404
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10932.12
## Q : 3338559 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  35.797  35.797  1.6837  0.221
## Residuals     11 233.872  21.261
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9336.054
## Q : 2147701 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 40.584  40.584  4.8584 0.04972 *
## Residuals     11 91.886   8.353                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7208.958
## Q : 2112767 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.598  24.598  1.1038  0.316
## Residuals     11 245.126  22.284
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3495.575
## Q : 2608514 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   4.684  4.6843  0.2119 0.6543
## Residuals     11 243.209 22.1099
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15018.58
## Q : 2786642 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 80.943  80.943  15.174 0.002496 **
## Residuals     11 58.677   5.334                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19686.84
## Q : 2562096 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 151.27 151.271  5.6418 0.03681 *
## Residuals     11 294.94  26.813                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9182.605
## Q : 2392030 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  35.25  35.250  3.7121 0.08024 .
## Residuals     11 104.46   9.496                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18963.2
## Q : 2328905 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 154.41 154.409  7.3477 0.02027 *
## Residuals     11 231.16  21.014                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14751.4
## Q : 2532632 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  85.92  85.920  2.5913 0.1357
## Residuals     11 364.72  33.157
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17013.46
## Q : 3216112 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 90.002  90.002  11.212 0.006496 **
## Residuals     11 88.300   8.027                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12935.36
## Q : 2519825 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  66.403  66.403  3.1262 0.1047
## Residuals     11 233.651  21.241
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16314.39
## Q : 2908303 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 91.517  91.517  17.292 0.001594 **
## Residuals     11 58.218   5.293                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12537.21
## Q : 3274144 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  48.007  48.007    3.33 0.09528 .
## Residuals     11 158.581  14.416                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9645.598
## Q : 2452735 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 37.932  37.932  4.9296 0.04834 *
## Residuals     11 84.642   7.695                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9475.815
## Q : 2310106 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 38.869  38.869  5.4146 0.04009 *
## Residuals     11 78.964   7.179                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8670.22
## Q : 3308277 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 22.723 22.7226  3.0243 0.1099
## Residuals     11 82.646  7.5132
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11672.44
## Q : 2622681 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 51.949  51.949  6.1979 0.03006 *
## Residuals     11 92.200   8.382                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11447.89
## Q : 2872102 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  45.63   45.63  93.131 1.054e-06 ***
## Residuals     11   5.39    0.49                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11166.98
## Q : 2533378 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  49.223  49.223  1.8054 0.2061
## Residuals     11 299.904  27.264
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5256.137
## Q : 1903870 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.511  14.511  1.4099 0.2601
## Residuals     11 113.216  10.292
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9513.378
## Q : 2204447 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  41.055  41.055  2.8429 0.1199
## Residuals     11 158.857  14.442
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2604.043
## Q : 2361070 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   2.872   2.872  0.1947 0.6676
## Residuals     11 162.282  14.753
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10274.86
## Q : 3022512 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  34.929  34.929  1.9159 0.1937
## Residuals     11 200.543  18.231
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14625.54
## Q : 3002066 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  71.253  71.253  5.4315 0.03983 *
## Residuals     11 144.304  13.119                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17090.88
## Q : 3109926 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  93.924  93.924  6.0748 0.03141 *
## Residuals     11 170.075  15.461                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12522.24
## Q : 2570021 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 61.014  61.014  14.499 0.002904 **
## Residuals     11 46.289   4.208                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15372.55
## Q : 3832064 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  61.668  61.668   5.221 0.04316 *
## Residuals     11 129.928  11.812                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11791.31
## Q : 2056879 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  67.595  67.595  2.4413 0.1465
## Residuals     11 304.564  27.688
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8227.046
## Q : 2277029 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.725  29.725  2.2274 0.1637
## Residuals     11 146.798  13.345
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10028.08
## Q : 2393149 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)   
## Nonadditivity  1 42.021  42.021   10.35 0.0082 **
## Residuals     11 44.659   4.060                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10807.66
## Q : 2421865 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  48.23  48.230  9.9368 0.009205 **
## Residuals     11  53.39   4.854                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17995.06
## Q : 2597376 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 124.67 124.673  4.9421 0.0481 *
## Residuals     11 277.49  25.227                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15192.54
## Q : 4466612 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.675  51.675  4.1919 0.06526 .
## Residuals     11 135.600  12.327                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9498.58
## Q : 3105454 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.053  29.053   2.441 0.1465
## Residuals     11 130.923  11.902
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11141.95
## Q : 3517060 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 35.297  35.297   9.826 0.009499 **
## Residuals     11 39.515   3.592                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11815.81
## Q : 1997586 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  69.891  69.891   6.973 0.02297 *
## Residuals     11 110.254  10.023                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10217.8
## Q : 2743110 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  38.06  38.060  3.4545 0.09002 .
## Residuals     11 121.19  11.018                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17404.97
## Q : 3319576 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 91.257  91.257  14.445 0.00294 **
## Residuals     11 69.491   6.317                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6089.247
## Q : 2317825 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.997  15.997  1.1471 0.3071
## Residuals     11 153.402  13.946
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7624.062
## Q : 2414475 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.074  24.074  2.2111 0.1651
## Residuals     11 119.767  10.888
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11271.25
## Q : 3204308 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 39.647  39.647   5.057 0.04599 *
## Residuals     11 86.240   7.840                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22144.49
## Q : 3171415 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 154.62 154.624  7.0513 0.02237 *
## Residuals     11 241.21  21.928                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15106.12
## Q : 2331882 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 97.859  97.859  23.116 0.0005463 ***
## Residuals     11 46.566   4.233                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15745.87
## Q : 3245551 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.391  76.391  7.4758 0.01943 *
## Residuals     11 112.403  10.218                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13753.24
## Q : 1991491 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 94.980  94.980  12.417 0.004766 **
## Residuals     11 84.139   7.649                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 103.8731
## Q : 3677718 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   0.00   0.003   1e-04 0.9927
## Residuals     11 369.49  33.590
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16476.66
## Q : 3123753 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  86.908  86.908  7.2605 0.02086 *
## Residuals     11 131.670  11.970                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13588.34
## Q : 2329903 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  79.249  79.249  3.9981 0.07086 .
## Residuals     11 218.040  19.822                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13562.57
## Q : 2735942 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  67.232  67.232  4.2968 0.06246 .
## Residuals     11 172.117  15.647                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11673.93
## Q : 2727128 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 49.972  49.972  18.516 0.00125 **
## Residuals     11 29.688   2.699                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13661.2
## Q : 2418024 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 77.182  77.182  15.176 0.002495 **
## Residuals     11 55.943   5.086                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16239.98
## Q : 2761879 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  95.492  95.492  9.6489 0.009992 **
## Residuals     11 108.863   9.897                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5809.229
## Q : 2776142 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  12.156  12.156  0.9106 0.3605
## Residuals     11 146.853  13.350
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10907.63
## Q : 2709161 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.916  43.916  6.1064 0.03106 *
## Residuals     11 79.110   7.192                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28434.35
## Q : 3208328 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 252.00  252.00  23.205 0.0005384 ***
## Residuals     11 119.46   10.86                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10905.63
## Q : 3161350 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 37.621  37.621  6.2884 0.02911 *
## Residuals     11 65.809   5.983                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9638.859
## Q : 2306753 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 40.276  40.276  5.0723 0.04572 *
## Residuals     11 87.346   7.941                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12042.8
## Q : 2321510 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.472  62.472  6.1642 0.03042 *
## Residuals     11 111.482  10.135                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6387.606
## Q : 2132016 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  19.138  19.137  1.7893  0.208
## Residuals     11 117.651  10.696
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15719.6
## Q : 3010727 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  82.075  82.075  4.5974 0.05521 .
## Residuals     11 196.379  17.853                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15016.71
## Q : 3065953 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 73.550  73.550  8.7313 0.01309 *
## Residuals     11 92.661   8.424                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13027.37
## Q : 1774982 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  95.614  95.614  3.9746 0.07158 .
## Residuals     11 264.617  24.056                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22489.96
## Q : 2838684 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 178.18  178.18  15.294 0.002431 **
## Residuals     11 128.15   11.65                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11686.51
## Q : 2600175 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  52.525  52.525  4.1124 0.06749 .
## Residuals     11 140.497  12.772                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5178.758
## Q : 2087982 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  12.845  12.845  1.0214 0.3339
## Residuals     11 138.333  12.576
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7273.865
## Q : 4093951 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  12.924  12.924  1.1604 0.3044
## Residuals     11 122.514  11.138
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12313.48
## Q : 2927016 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 51.801  51.801  6.8503 0.02394 *
## Residuals     11 83.180   7.562                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11491.36
## Q : 2353381 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 56.111  56.111  35.455 9.531e-05 ***
## Residuals     11 17.409   1.583                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12304.69
## Q : 2820412 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 53.682  53.682  23.593 0.0005048 ***
## Residuals     11 25.028   2.275                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6329.72
## Q : 3740271 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 10.712 10.7119  2.4607  0.145
## Residuals     11 47.886  4.3533
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11481.07
## Q : 2129408 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  61.902  61.902  6.2572 0.02943 *
## Residuals     11 108.822   9.893                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10936.91
## Q : 2295681 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  52.105  52.105  4.5698 0.05583 .
## Residuals     11 125.421  11.402                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15668.57
## Q : 2697959 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 90.996  90.996   11.94 0.005376 **
## Residuals     11 83.831   7.621                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11134.46
## Q : 3513860 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  35.282  35.282   2.856 0.1191
## Residuals     11 135.890  12.354
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14797.68
## Q : 2988175 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 73.279  73.279   15.21 0.002477 **
## Residuals     11 52.996   4.818                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16959.34
## Q : 4160534 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 69.130  69.130  8.7552  0.013 *
## Residuals     11 86.855   7.896                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14254.01
## Q : 2967890 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  68.46  68.458  1.7054 0.2182
## Residuals     11 441.57  40.142
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4890.425
## Q : 1846160 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  12.95  12.955  0.3639 0.5586
## Residuals     11 391.64  35.603
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23885.09
## Q : 3965926 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 143.850 143.850   19.08 0.001121 **
## Residuals     11  82.934   7.539                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20813.98
## Q : 2407347 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 179.96 179.958  16.162 0.002015 **
## Residuals     11 122.48  11.135                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9690.787
## Q : 2586253 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 36.312  36.312  10.464 0.007946 **
## Residuals     11 38.170   3.470                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7235.935
## Q : 2063851 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 25.369 25.3694  9.0826 0.01179 *
## Residuals     11 30.725  2.7932                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9616.783
## Q : 1996722 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 46.317  46.317  9.1134 0.01168 *
## Residuals     11 55.906   5.082                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4970.566
## Q : 2524958 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   9.785  9.7849  0.6246 0.4461
## Residuals     11 172.331 15.6665
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17219.6
## Q : 3447269 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  86.014  86.014  9.1481 0.01156 *
## Residuals     11 103.427   9.402                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14937.04
## Q : 2941320 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  75.855  75.855  4.6084 0.05496 .
## Residuals     11 181.061  16.460                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14851.51
## Q : 3059090 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  72.102  72.102  5.5154 0.03859 *
## Residuals     11 143.801  13.073                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15657.33
## Q : 3128797 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  78.353  78.353  6.9041 0.02351 *
## Residuals     11 124.837  11.349                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10302.69
## Q : 2499598 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  42.465  42.465  1.8954  0.196
## Residuals     11 246.452  22.405
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14837.58
## Q : 3284748 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  67.023  67.023  5.4837 0.03905 *
## Residuals     11 134.445  12.222                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17375.77
## Q : 3156360 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  95.654  95.654  6.4754 0.02725 *
## Residuals     11 162.490  14.772                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5092.208
## Q : 3805201 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   6.815  6.8145  0.6544 0.4357
## Residuals     11 114.555 10.4141
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11015.09
## Q : 2614006 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 46.416  46.416   5.609 0.03726 *
## Residuals     11 91.028   8.275                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12886.93
## Q : 2357091 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  70.46  70.457  2.3422 0.1541
## Residuals     11 330.90  30.082
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12065.82
## Q : 3416021 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  42.618  42.618  3.4114 0.0918 .
## Residuals     11 137.419  12.493                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12080.42
## Q : 2947574 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 49.511  49.511  9.9948 0.009055 **
## Residuals     11 54.490   4.954                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14238.36
## Q : 2606898 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  77.767  77.767   3.787 0.07764 .
## Residuals     11 225.887  20.535                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9880.368
## Q : 3072019 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  31.78  31.778  1.0702 0.3231
## Residuals     11 326.62  29.692
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7912.994
## Q : 2018235 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  31.025  31.025  2.0061 0.1844
## Residuals     11 170.118  15.465
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8463.864
## Q : 2047665 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 34.985  34.985  6.3001 0.02899 *
## Residuals     11 61.083   5.553                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9008.671
## Q : 2665937 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  30.442  30.442  2.6169  0.134
## Residuals     11 127.962  11.633
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6614.757
## Q : 2861312 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.292  15.292  1.4888 0.2479
## Residuals     11 112.981  10.271
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15182.81
## Q : 2400056 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  96.047  96.047   4.986 0.04728 *
## Residuals     11 211.896  19.263                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21735.02
## Q : 3222428 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 146.601 146.601  24.208 0.0004568 ***
## Residuals     11  66.615   6.056                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17913.64
## Q : 2628439 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 122.09  122.09  5.3925 0.04042 *
## Residuals     11 249.04   22.64                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8084.343
## Q : 2665648 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.52  24.518  0.8487 0.3767
## Residuals     11 317.78  28.889
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5397.602
## Q : 2438979 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  11.945  11.945  1.1108 0.3145
## Residuals     11 118.295  10.754
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20843.14
## Q : 3483160 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 124.72 124.725  7.3313 0.02038 *
## Residuals     11 187.14  17.013                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3562.136
## Q : 2662913 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.765  4.7650  0.6171 0.4487
## Residuals     11 84.934  7.7213
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11163.68
## Q : 3275673 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 38.046  38.046  6.2522 0.02948 *
## Residuals     11 66.938   6.085                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8784.517
## Q : 2765356 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.905  27.905  1.3229 0.2745
## Residuals     11 232.029  21.093
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10084
## Q : 2828921 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 35.946  35.946  5.0896 0.04541 *
## Residuals     11 77.688   7.063                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17139.92
## Q : 3591571 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  81.796  81.796   8.439 0.01432 *
## Residuals     11 106.619   9.693                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14837.6
## Q : 3381266 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  65.11  65.110  5.4904 0.03895 *
## Residuals     11 130.45  11.859                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7258.785
## Q : 2496785 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.103  21.103  1.9868 0.1863
## Residuals     11 116.839  10.622
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9090.999
## Q : 3015487 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.407  27.407  1.4507 0.2537
## Residuals     11 207.815  18.892
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8633.493
## Q : 2848874 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 26.164 26.1637  5.2407 0.04283 *
## Residuals     11 54.917  4.9924                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9482.493
## Q : 2787418 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 32.258  32.258  7.9086 0.0169 *
## Residuals     11 44.868   4.079                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11161.16
## Q : 2060691 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  60.451  60.451  5.8183 0.03448 *
## Residuals     11 114.288  10.390                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12330.09
## Q : 2196803 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 69.206  69.206  9.8294 0.009489 **
## Residuals     11 77.447   7.041                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7430.453
## Q : 1764005 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  31.299  31.299  2.3468 0.1538
## Residuals     11 146.707  13.337
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15621.72
## Q : 2275684 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 107.24 107.237  4.0395 0.06962 .
## Residuals     11 292.02  26.547                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13144.82
## Q : 3246722 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 53.219  53.219  22.474 0.0006088 ***
## Residuals     11 26.048   2.368                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19876.53
## Q : 2912149 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 135.665 135.665  21.328 0.0007424 ***
## Residuals     11  69.968   6.361                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12019.93
## Q : 2403114 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 60.121  60.121  22.907 0.0005658 ***
## Residuals     11 28.870   2.625                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11893.72
## Q : 2491468 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  56.778  56.778  6.0419 0.03179 *
## Residuals     11 103.371   9.397                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15251.32
## Q : 3231506 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  71.98  71.980  5.3962 0.04037 *
## Residuals     11 146.73  13.339                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5308.647
## Q : 2145921 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.133  13.133  1.0449 0.3286
## Residuals     11 138.252  12.568
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14641.56
## Q : 3034695 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 70.641  70.641  8.1397 0.01571 *
## Residuals     11 95.465   8.679                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11138.64
## Q : 2485911 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 49.909  49.909  9.6527 0.009981 **
## Residuals     11 56.875   5.170                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10112.67
## Q : 2749441 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  37.195  37.195  2.3864 0.1507
## Residuals     11 171.453  15.587
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15743.02
## Q : 2739157 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  90.481  90.481  9.3368 0.01094 *
## Residuals     11 106.599   9.691                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8292.507
## Q : 3186324 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.582  21.581  1.3596 0.2683
## Residuals     11 174.609  15.873
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10944.79
## Q : 2144677 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 55.854  55.854  9.9456 0.009182 **
## Residuals     11 61.775   5.616                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4990.133
## Q : 2887098 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.625  8.6251   0.539 0.4782
## Residuals     11 176.035 16.0031
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12340.98
## Q : 2940011 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  51.802  51.802  4.6074 0.05498 .
## Residuals     11 123.676  11.243                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8633.948
## Q : 3022850 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.661  24.660  1.0874 0.3194
## Residuals     11 249.468  22.679
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13021.92
## Q : 2728027 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 62.159  62.159  8.0339 0.01624 *
## Residuals     11 85.108   7.737                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17467.63
## Q : 2753199 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 110.82 110.823  10.737 0.007376 **
## Residuals     11 113.53  10.321                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14591.97
## Q : 3413911 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.37  62.370  6.6298 0.02583 *
## Residuals     11 103.48   9.408                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15336.69
## Q : 2367772 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  99.34  99.340   6.088 0.03127 *
## Residuals     11 179.49  16.317                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9175.124
## Q : 2645853 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  31.817  31.817  2.3917 0.1503
## Residuals     11 146.336  13.303
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13445.2
## Q : 3528013 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 51.239  51.239  7.9534 0.01666 *
## Residuals     11 70.867   6.442                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9352.108
## Q : 2533505 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  34.522  34.522  1.7734 0.2099
## Residuals     11 214.135  19.467
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7074.309
## Q : 2512558 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  19.918 19.9183  2.1902  0.167
## Residuals     11 100.037  9.0943
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17157.26
## Q : 3963026 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 74.280   74.28  28.568 0.0002356 ***
## Residuals     11 28.601    2.60                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14741.83
## Q : 3090309 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 70.324  70.324  9.4394 0.01062 *
## Residuals     11 81.950   7.450                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15851.61
## Q : 3077442 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 81.650  81.650  14.173 0.003129 **
## Residuals     11 63.369   5.761                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23664.99
## Q : 3417163 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 163.888 163.888  19.221 0.001091 **
## Residuals     11  93.791   8.526                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14095.12
## Q : 3538449 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 56.147  56.147  6.4704 0.0273 *
## Residuals     11 95.452   8.677                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13746.57
## Q : 3332785 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 56.700  56.700  17.569 0.001507 **
## Residuals     11 35.499   3.227                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19236.99
## Q : 3242020 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 114.14 114.145  7.1334 0.02176 *
## Residuals     11 176.02  16.001                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10218.56
## Q : 3460550 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  30.174  30.174  2.5821 0.1364
## Residuals     11 128.546  11.686
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20396.9
## Q : 3110516 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 133.75 133.751  9.5347 0.01033 *
## Residuals     11 154.31  14.028                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14280.86
## Q : 3065229 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 66.534  66.534  30.978 0.0001687 ***
## Residuals     11 23.625   2.148                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16455.02
## Q : 2376082 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 113.96  113.96  5.5239 0.03847 *
## Residuals     11 226.93   20.63                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8400.085
## Q : 2237591 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  31.535  31.535  2.4185 0.1482
## Residuals     11 143.426  13.039
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20746.15
## Q : 3216650 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 133.81 133.805  13.293 0.003848 **
## Residuals     11 110.72  10.066                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6873.94
## Q : 1664392 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.39  28.389  0.9227 0.3574
## Residuals     11 338.45  30.769
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9479.087
## Q : 2865122 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 31.361 31.3610  5.1289 0.04472 *
## Residuals     11 67.260  6.1145                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8785.822
## Q : 3020661 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.554  25.554  1.4469 0.2543
## Residuals     11 194.274  17.661
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18655.32
## Q : 3091430 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 112.576 112.576  17.834 0.001429 **
## Residuals     11  69.438   6.313                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3640.879
## Q : 2382113 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.565  5.5648   0.557 0.4711
## Residuals     11 109.902  9.9911
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23723.82
## Q : 2755676 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 204.24 204.240  8.9732 0.01218 *
## Residuals     11 250.37  22.761                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7023.376
## Q : 2035813 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.23  24.230  2.3786 0.1513
## Residuals     11 112.05  10.187
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16781.06
## Q : 3487001 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 80.758  80.758  20.514 0.000859 ***
## Residuals     11 43.305   3.937                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16552.22
## Q : 2918676 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  93.87  93.870  4.6101 0.05492 .
## Residuals     11 223.98  20.362                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19273.99
## Q : 2879296 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 129.02 129.020  13.509 0.003655 **
## Residuals     11 105.06   9.551                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9710.388
## Q : 3617993 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  26.062  26.062   2.301 0.1575
## Residuals     11 124.591  11.326
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12707.39
## Q : 1947335 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  82.922  82.922   5.326 0.04146 *
## Residuals     11 171.264  15.569                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6785.039
## Q : 4172967 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  11.032  11.032  0.6059 0.4528
## Residuals     11 200.293  18.209
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15792.01
## Q : 2653334 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  93.99  93.990  7.0898 0.02208 *
## Residuals     11 145.83  13.257                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11536.35
## Q : 3177154 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 41.889  41.889  5.7394 0.0355 *
## Residuals     11 80.283   7.298                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12312.77
## Q : 3686460 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  41.125  41.125  2.6694 0.1306
## Residuals     11 169.466  15.406
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5603.416
## Q : 2707013 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  11.599 11.5989  1.2183 0.2933
## Residuals     11 104.728  9.5207
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25109.99
## Q : 2999313 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 210.22 210.219  9.0438 0.01192 *
## Residuals     11 255.69  23.245                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7335.896
## Q : 2603232 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  20.673  20.672  1.8252 0.2038
## Residuals     11 124.588  11.326
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19448.38
## Q : 2640381 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 143.25 143.252  10.989 0.006893 **
## Residuals     11 143.40  13.037                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8284.683
## Q : 2691136 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.504  25.505  1.3859 0.2639
## Residuals     11 202.432  18.403
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10830.31
## Q : 3081693 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 38.062  38.062  7.2193 0.02115 *
## Residuals     11 57.995   5.272                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23363.5
## Q : 3835580 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 142.31 142.313  11.326 0.006303 **
## Residuals     11 138.22  12.565                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7520.751
## Q : 2409924 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.47 23.4703  2.4471  0.146
## Residuals     11 105.50  9.5912
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10946.72
## Q : 2628435 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  45.59  45.590  2.2495 0.1618
## Residuals     11 222.94  20.267
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11505.98
## Q : 2531873 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  52.288  52.288  4.1051 0.0677 .
## Residuals     11 140.110  12.737                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5322.504
## Q : 2518363 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  11.249  11.249  0.7691 0.3992
## Residuals     11 160.891  14.627
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12226.66
## Q : 2800443 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  53.38  53.381  1.7115 0.2175
## Residuals     11 343.09  31.190
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7214.536
## Q : 2661947 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  19.553  19.553  1.3045 0.2776
## Residuals     11 164.877  14.989
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16807.37
## Q : 3131185 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  90.218  90.218  5.2794 0.0422 *
## Residuals     11 187.974  17.089                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8066.216
## Q : 1724505 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 37.729  37.729  36.822 8.097e-05 ***
## Residuals     11 11.271   1.025                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19771.07
## Q : 4590675 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  85.15  85.150  8.9877 0.01212 *
## Residuals     11 104.21   9.474                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7038.762
## Q : 2760942 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  17.945  17.945  0.8227 0.3838
## Residuals     11 239.940  21.813
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15964.03
## Q : 2912294 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  87.508  87.508  4.9413 0.04812 *
## Residuals     11 194.806  17.710                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9146.386
## Q : 2825510 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 29.608 29.6075   4.681 0.05337 .
## Residuals     11 69.576  6.3251                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14807.37
## Q : 2603967 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 84.202  84.202   9.382 0.01079 *
## Residuals     11 98.723   8.975                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8764.042
## Q : 2893974 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 26.541 26.5408  4.4611 0.05836 .
## Residuals     11 65.444  5.9494                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15631.85
## Q : 2674340 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  91.37  91.370  7.3613 0.02018 *
## Residuals     11 136.53  12.412                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5898.677
## Q : 2601075 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.38  13.377  0.4079 0.5361
## Residuals     11 360.77  32.798
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13928.41
## Q : 2460559 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 78.844  78.844  11.742 0.005656 **
## Residuals     11 73.859   6.714                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11987.81
## Q : 3376775 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 42.558  42.558  5.6603 0.03656 *
## Residuals     11 82.704   7.519                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9462.063
## Q : 2074890 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.150  43.150  5.0214 0.04663 *
## Residuals     11 94.524   8.593                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11506.19
## Q : 2383946 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  55.535  55.535  5.6596 0.03657 *
## Residuals     11 107.937   9.812                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17033.45
## Q : 2500653 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 116.03 116.025  8.9882 0.01212 *
## Residuals     11 141.99  12.909                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15444.42
## Q : 3434777 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  69.446  69.446  6.0329 0.03189 *
## Residuals     11 126.622  11.511                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7180.675
## Q : 3838152 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.434  13.434  0.8059 0.3886
## Residuals     11 183.360  16.669
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13258.03
## Q : 2595315 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 67.728  67.728  38.267 6.85e-05 ***
## Residuals     11 19.469   1.770                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18335.81
## Q : 2798540 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 120.14 120.135  11.044 0.006792 **
## Residuals     11 119.66  10.878                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11355.73
## Q : 2253030 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  57.24  57.235  1.6419 0.2264
## Residuals     11 383.46  34.860
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4400.915
## Q : 2578550 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   7.511  7.5112  0.4754 0.5048
## Residuals     11 173.805 15.8005
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11028.95
## Q : 2915245 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 41.725  41.725  4.8905 0.04909 *
## Residuals     11 93.850   8.532                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13858.17
## Q : 3222379 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 59.598  59.598  33.955 0.0001147 ***
## Residuals     11 19.308   1.755                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20014.59
## Q : 3279312 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 122.16 122.155  8.0194 0.01632 *
## Residuals     11 167.56  15.232                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14368.58
## Q : 3143089 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 65.686  65.686  19.204 0.001095 **
## Residuals     11 37.624   3.420                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16531.56
## Q : 3548779 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  77.01  77.010  3.1843 0.1019
## Residuals     11 266.03  24.184
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4143.446
## Q : 2817048 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   6.094  6.0944  0.3494 0.5664
## Residuals     11 191.862 17.4420
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12400.89
## Q : 3041390 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  50.563  50.563  5.3896 0.04047 *
## Residuals     11 103.198   9.382                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3142.253
## Q : 2405894 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.104  4.1040  0.4622 0.5107
## Residuals     11 97.674  8.8795
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12561.45
## Q : 2855030 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  55.267  55.267  2.2313 0.1634
## Residuals     11 272.466  24.770
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12118.47
## Q : 3046433 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  48.206  48.206  3.0695 0.1076
## Residuals     11 172.756  15.705
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8189.248
## Q : 2395705 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 27.993 27.9933  3.8167 0.07664 .
## Residuals     11 80.678  7.3344                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14355.67
## Q : 2906848 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  70.896  70.896  6.3128 0.02886 *
## Residuals     11 123.537  11.231                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19207.33
## Q : 3870840 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 95.308  95.308  29.527 0.0002058 ***
## Residuals     11 35.506   3.228                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16236.27
## Q : 3259343 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  80.88  80.880  5.7387 0.03551 *
## Residuals     11 155.03  14.094                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10251.04
## Q : 3284331 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 31.996  31.996  5.0887 0.04542 *
## Residuals     11 69.164   6.288                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12200.86
## Q : 2729735 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 54.533  54.533  7.7357 0.01786 *
## Residuals     11 77.545   7.050                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18595.25
## Q : 2884334 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 119.883 119.883  15.437 0.002356 **
## Residuals     11  85.423   7.766                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8225.722
## Q : 2145233 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  31.541  31.541   2.981 0.1122
## Residuals     11 116.387  10.581
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9289.423
## Q : 3024955 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.53  28.527  0.8764 0.3693
## Residuals     11 358.06  32.551
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24976.04
## Q : 2801991 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 222.63 222.628  17.069 0.001668 **
## Residuals     11 143.47  13.043                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6689.128
## Q : 3125884 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.314  14.314  0.8412 0.3787
## Residuals     11 187.181  17.016
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2353.854
## Q : 2220305 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   2.495  2.4954  0.1543 0.7019
## Residuals     11 177.856 16.1687
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7065.756
## Q : 2636153 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 18.939 18.9386  3.2063 0.1009
## Residuals     11 64.974  5.9067
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12948.83
## Q : 2667593 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 62.855  62.855  7.4302 0.01972 *
## Residuals     11 93.053   8.459                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9378.778
## Q : 2405938 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  36.56  36.560  2.1019  0.175
## Residuals     11 191.33  17.394
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9269.263
## Q : 3552762 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 24.184 24.1838  3.3372 0.09496 .
## Residuals     11 79.713  7.2466                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10461.24
## Q : 2214900 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 49.410   49.41  7.3202 0.02045 *
## Residuals     11 74.248    6.75                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7640.647
## Q : 2132795 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  27.372  27.372  1.5859  0.234
## Residuals     11 189.861  17.260
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6356.782
## Q : 2305658 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  17.526  17.526  1.0724 0.3226
## Residuals     11 179.773  16.343
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10297.61
## Q : 2581643 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 41.075  41.075  4.6774 0.05345 .
## Residuals     11 96.597   8.782                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5527.685
## Q : 2972157 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  10.281  10.280  0.6654  0.432
## Residuals     11 169.942  15.449
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12361.07
## Q : 2885483 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  52.953  52.953  1.9567 0.1894
## Residuals     11 297.692  27.063
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7565.787
## Q : 2328215 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.586  24.586  2.3652 0.1523
## Residuals     11 114.344  10.395
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13040.76
## Q : 3337540 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  50.954  50.954  3.5366 0.08675 .
## Residuals     11 158.484  14.408                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8591.826
## Q : 2275344 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 32.443  32.443  5.8602 0.03396 *
## Residuals     11 60.898   5.536                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14133.83
## Q : 4100434 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.718  48.718  9.2592 0.01119 *
## Residuals     11 57.878   5.262                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6185.819
## Q : 2398208 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.955  15.955  1.5385 0.2406
## Residuals     11 114.080  10.371
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4754.259
## Q : 2818686 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.019   8.019  0.3082 0.5899
## Residuals     11 286.190  26.017
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11963.76
## Q : 2418866 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  59.173  59.173  2.4629 0.1449
## Residuals     11 264.286  24.026
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7193.77
## Q : 3199550 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  16.174  16.174  1.0084 0.3369
## Residuals     11 176.441  16.040
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8419.026
## Q : 3298258 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.49  21.490  1.2095 0.2949
## Residuals     11 195.45  17.768
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9362.604
## Q : 2673549 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  32.787  32.787  1.4929 0.2473
## Residuals     11 241.584  21.962
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4575.142
## Q : 2693447 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   7.771  7.7714  0.5367 0.4791
## Residuals     11 159.277 14.4798
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15697.22
## Q : 2592366 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  95.049  95.049  5.2815 0.04217 *
## Residuals     11 197.964  17.997                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11755.5
## Q : 3499499 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  39.489  39.489  3.0552 0.1083
## Residuals     11 142.177  12.925
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13380.81
## Q : 3588588 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  49.893  49.893  3.5049  0.088 .
## Residuals     11 156.589  14.235                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16908.18
## Q : 2899946 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  98.583  98.583   4.652  0.054 .
## Residuals     11 233.109  21.192                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7144.603
## Q : 3011208 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 16.952 16.9518  2.1874 0.1672
## Residuals     11 85.246  7.7496
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12528.11
## Q : 2744096 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  57.197  57.197  3.3834 0.09298 .
## Residuals     11 185.955  16.905                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15387.52
## Q : 2957019 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 80.072  80.072    11.8 0.005573 **
## Residuals     11 74.644   6.786                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10405.45
## Q : 2262094 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 47.864  47.864  15.893 0.002134 **
## Residuals     11 33.127   3.012                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19157.56
## Q : 3298125 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 111.28 111.279  5.1064 0.04511 *
## Residuals     11 239.71  21.792                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20726.69
## Q : 2765574 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 155.34 155.337  11.389 0.006199 **
## Residuals     11 150.03  13.639                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6180.651
## Q : 2021194 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  18.90  18.900  1.3638 0.2676
## Residuals     11 152.44  13.858
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19647.38
## Q : 3579470 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 107.84 107.843  19.978 0.0009475 ***
## Residuals     11  59.38   5.398                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8163.792
## Q : 2740710 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.318  24.318   1.499 0.2464
## Residuals     11 178.451  16.223
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14872.59
## Q : 2288810 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  96.642  96.642  9.9608 0.009143 **
## Residuals     11 106.724   9.702                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17210.94
## Q : 3159551 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  93.753  93.753  4.3801 0.06034 .
## Residuals     11 235.444  21.404                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20265.78
## Q : 3878720 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 105.886 105.886  16.555 0.001855 **
## Residuals     11  70.357   6.396                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12485.3
## Q : 2394777 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  65.093  65.093   3.618 0.08365 .
## Residuals     11 197.907  17.992                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18722.69
## Q : 2670500 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 131.26 131.263  4.1787 0.06563 .
## Residuals     11 345.54  31.412                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9954.094
## Q : 2320280 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  42.70  42.703  1.1367 0.3092
## Residuals     11 413.23  37.566
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4924.677
## Q : 2317717 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  10.464  10.464  0.6053  0.453
## Residuals     11 190.174  17.288
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6103.977
## Q : 2551715 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.601  14.601   0.683 0.4261
## Residuals     11 235.147  21.377
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26792.19
## Q : 4002455 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 179.34 179.345  10.948 0.006969 **
## Residuals     11 180.20  16.382                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12489.72
## Q : 2676003 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 58.293  58.293  12.344 0.004854 **
## Residuals     11 51.945   4.722                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14078.82
## Q : 2999268 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  66.087  66.087  4.3979 0.0599 .
## Residuals     11 165.298  15.027                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14440.01
## Q : 2023829 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 103.03  103.03  6.3599 0.02838 *
## Residuals     11 178.20   16.20                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14850.94
## Q : 2266405 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  97.313  97.313  6.5371 0.02667 *
## Residuals     11 163.749  14.886                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22267.02
## Q : 3298905 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 150.30 150.298   6.028 0.03195 *
## Residuals     11 274.27  24.934                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7057.402
## Q : 2024128 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 24.607 24.6066   4.679 0.05341 .
## Residuals     11 57.848  5.2589                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11755.74
## Q : 2836395 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.723  48.723  5.3974 0.04035 *
## Residuals     11 99.298   9.027                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12117.21
## Q : 2868184 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  51.192  51.192  3.8239 0.0764 .
## Residuals     11 147.260  13.387                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8944.322
## Q : 2724898 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.359 29.3592  2.9953 0.1114
## Residuals     11 107.821  9.8019
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11925.59
## Q : 3131090 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  45.422  45.422  4.3938   0.06 .
## Residuals     11 113.716  10.338                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9122.166
## Q : 2733513 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  30.442  30.442   1.523 0.2429
## Residuals     11 219.872  19.988
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14322.15
## Q : 3536378 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  58.004  58.004  5.9154 0.03328 *
## Residuals     11 107.861   9.806                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10339.06
## Q : 1467286 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  72.853  72.853  2.5798 0.1365
## Residuals     11 310.638  28.240
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18104.25
## Q : 2921305 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 112.20 112.198  8.9062 0.01242 *
## Residuals     11 138.57  12.598                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7141.697
## Q : 2929778 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 17.409  17.409  3.3601 0.09397 .
## Residuals     11 56.991   5.181                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7888.67
## Q : 2438570 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  25.52  25.520   1.584 0.2342
## Residuals     11 177.22  16.111
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9332.592
## Q : 2337993 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 37.253  37.253  15.672 0.002239 **
## Residuals     11 26.148   2.377                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10764.89
## Q : 2588709 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 44.765  44.765  12.977 0.004152 **
## Residuals     11 37.943   3.449                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8237.756
## Q : 1663739 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 40.788  40.788  4.5151 0.05708 .
## Residuals     11 99.370   9.034                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16469.24
## Q : 2692448 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 100.74 100.740  8.3968 0.0145 *
## Residuals     11 131.97  11.997                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10400.65
## Q : 2821435 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  38.34  38.340  2.4818 0.1435
## Residuals     11 169.93  15.448
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6513.029
## Q : 2314294 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  18.329  18.329  1.2271 0.2916
## Residuals     11 164.314  14.938
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6580.067
## Q : 1775298 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.389  24.389  1.8897 0.1966
## Residuals     11 141.968  12.906
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14852.61
## Q : 3213941 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 68.639  68.639  9.2817 0.01112 *
## Residuals     11 81.345   7.395                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11177.87
## Q : 2492400 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  50.13  50.130  4.5423 0.05646 .
## Residuals     11 121.40  11.036                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18018.76
## Q : 3051322 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 106.41  106.41  9.1021 0.01172 *
## Residuals     11 128.59   11.69                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10856.82
## Q : 2320003 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  50.806  50.806  5.4406 0.03969 *
## Residuals     11 102.722   9.338                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11971.15
## Q : 2155968 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  66.471  66.471  3.6434 0.08271 .
## Residuals     11 200.687  18.244                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7163.446
## Q : 2193025 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  23.399  23.399  1.8419 0.2019
## Residuals     11 139.741  12.704
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16077.71
## Q : 3523431 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  73.364  73.364  4.6468 0.05411 .
## Residuals     11 173.669  15.788                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10650.27
## Q : 3023856 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  37.511  37.511  1.8555 0.2004
## Residuals     11 222.374  20.216
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10626.4
## Q : 2604677 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.353  43.353  5.4945 0.03889 *
## Residuals     11 86.792   7.890                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15906.06
## Q : 4026123 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 62.840  62.840  7.4177 0.01981 *
## Residuals     11 93.188   8.472                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27331.92
## Q : 3344163 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 223.38 223.384  7.5267 0.01911 *
## Residuals     11 326.47  29.679                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6751.928
## Q : 2961904 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.392 15.3916  1.6577 0.2243
## Residuals     11 102.133  9.2848
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13599.95
## Q : 2365339 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  78.195  78.195  3.7837 0.07775 .
## Residuals     11 227.332  20.667                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3703.856
## Q : 2780167 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.934  4.9344  0.6013 0.4544
## Residuals     11 90.265  8.2059
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3264.272
## Q : 2780069 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   3.83  3.8328  0.1234  0.732
## Residuals     11 341.73 31.0668
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15937.53
## Q : 3321077 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  76.483  76.483   7.326 0.02041 *
## Residuals     11 114.839  10.440                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4761.853
## Q : 2544430 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   8.912  8.9117  0.7508 0.4047
## Residuals     11 130.567 11.8697
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18184.47
## Q : 3282934 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 100.72 100.725  7.6164 0.01856 *
## Residuals     11 145.47  13.225                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14896.52
## Q : 2450620 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  90.551  90.551  7.3445 0.02029 *
## Residuals     11 135.619  12.329                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 32435.3
## Q : 3165868 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 332.31  332.31   12.97 0.00416 **
## Residuals     11 281.83   25.62                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6210.593
## Q : 3763464 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  10.249  10.249  0.6404 0.4405
## Residuals     11 176.036  16.003
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6533.089
## Q : 2695320 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  15.835 15.8353  1.6018 0.2318
## Residuals     11 108.749  9.8863
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16773.17
## Q : 3809141 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  73.859  73.859   6.519 0.02684 *
## Residuals     11 124.627  11.330                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12794.72
## Q : 3279183 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  49.922  49.922  2.4301 0.1473
## Residuals     11 225.981  20.544
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15287.3
## Q : 2741636 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  85.242  85.242  8.5141 0.01399 *
## Residuals     11 110.131  10.012                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15676.27
## Q : 3689484 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  66.607  66.607    2.94 0.1144
## Residuals     11 249.211  22.656
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23554.55
## Q : 4196745 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 132.20 132.202  14.491 0.002909 **
## Residuals     11 100.35   9.123                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13571.26
## Q : 3065704 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 60.077  60.077  11.986 0.005313 **
## Residuals     11 55.133   5.012                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13666.66
## Q : 3824869 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.832  48.832  5.4908 0.03895 *
## Residuals     11 97.829   8.894                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4316.676
## Q : 3246145 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1   5.74  5.7403   0.475  0.505
## Residuals     11 132.93 12.0841
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8252.563
## Q : 2296186 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  29.66  29.660  1.8227 0.2041
## Residuals     11 179.00  16.273
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6561.07
## Q : 3271885 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 13.157 13.1568  1.5732 0.2357
## Residuals     11 91.994  8.3631
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8698.118
## Q : 2036484 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  37.151  37.151  2.3844 0.1508
## Residuals     11 171.389  15.581
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13859.92
## Q : 2712728 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  70.813  70.813  6.9078 0.02348 *
## Residuals     11 112.764  10.251                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18358.77
## Q : 2560880 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 131.61 131.613  13.583 0.003591 **
## Residuals     11 106.58   9.689                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13065.83
## Q : 2752598 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.02  62.020  4.5993 0.05516 .
## Residuals     11 148.33  13.485                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14571.47
## Q : 2964963 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 71.612  71.612  11.816 0.00555 **
## Residuals     11 66.667   6.061                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8920.847
## Q : 3279820 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  24.264  24.264  2.0357 0.1814
## Residuals     11 131.114  11.919
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12834.29
## Q : 2507282 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  65.696  65.696  6.2106 0.02992 *
## Residuals     11 116.359  10.578                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14223.52
## Q : 3011080 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  67.188  67.188  5.1424 0.04449 *
## Residuals     11 143.721  13.066                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12445.35
## Q : 2937559 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 52.726  52.726  7.8632 0.01715 *
## Residuals     11 73.760   6.705                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18420.66
## Q : 2930106 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 115.805 115.805  15.896 0.002133 **
## Residuals     11  80.135   7.285                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6742.784
## Q : 3139605 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  14.481  14.481  1.0292 0.3322
## Residuals     11 154.780  14.071
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8968.94
## Q : 2805950 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  28.668  28.668  2.4107 0.1488
## Residuals     11 130.814  11.892
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18117.96
## Q : 2992939 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 109.68  109.68  8.5023 0.01404 *
## Residuals     11 141.90   12.90                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9514.255
## Q : 2312554 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 39.143  39.143  7.7412 0.01783 *
## Residuals     11 55.622   5.057                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13813.45
## Q : 2167254 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  88.043  88.043   4.637 0.05433 .
## Residuals     11 208.856  18.987                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19306.6
## Q : 2550482 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 146.15 146.147  11.196 0.006523 **
## Residuals     11 143.59  13.053                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11873.4
## Q : 2948772 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 47.809  47.809  7.0007 0.02275 *
## Residuals     11 75.121   6.829                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11857.86
## Q : 2557523 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 54.979  54.979  17.015 0.001687 **
## Residuals     11 35.543   3.231                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15180.82
## Q : 2331855 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 98.830  98.830  15.079 0.002549 **
## Residuals     11 72.095   6.554                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10126.11
## Q : 1964944 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  52.184  52.184   4.001 0.07077 .
## Residuals     11 143.470  13.043                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17994.15
## Q : 2573423 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 125.82 125.820  11.357 0.006252 **
## Residuals     11 121.87  11.079                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8928.433
## Q : 2591561 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  30.76 30.7602  4.3016 0.06234 .
## Residuals     11  78.66  7.1509                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9787.744
## Q : 2412954 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  39.70  39.702  0.9536 0.3498
## Residuals     11 457.99  41.636
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7025.256
## Q : 2247912 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  21.956  21.956  1.3753 0.2657
## Residuals     11 175.600  15.964
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5794.857
## Q : 2436361 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  13.783  13.783  1.0428 0.3291
## Residuals     11 145.389  13.217
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13595.38
## Q : 1936347 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 95.455  95.455  18.079 0.001361 **
## Residuals     11 58.080   5.280                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9323.24
## Q : 2712269 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  32.048  32.048  2.5179 0.1409
## Residuals     11 140.011  12.728
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14619.24
## Q : 3458088 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  61.804  61.804  2.2043 0.1657
## Residuals     11 308.414  28.038
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10070.27
## Q : 1852163 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  54.752  54.752  5.6939 0.0361 *
## Residuals     11 105.775   9.616                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10105.83
## Q : 2654324 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  38.476  38.476  2.8603 0.1189
## Residuals     11 147.968  13.452
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9771.522
## Q : 2483569 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 38.446  38.446  9.3538 0.01088 *
## Residuals     11 45.212   4.110                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15787.59
## Q : 2399507 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 103.875 103.875  16.534 0.001863 **
## Residuals     11  69.106   6.282                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12936.86
## Q : 2014136 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 83.094  83.094  9.5129 0.01039 *
## Residuals     11 96.084   8.735                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13068.66
## Q : 2280724 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  74.884  74.884  6.7893 0.02445 *
## Residuals     11 121.327  11.030                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5759.26
## Q : 2950827 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  11.241  11.241  0.6041 0.4534
## Residuals     11 204.689  18.608
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10204.34
## Q : 2525342 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 41.233  41.233  8.6601 0.01338 *
## Residuals     11 52.374   4.761                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19056.83
## Q : 2808041 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 129.33 129.330  7.9155 0.01686 *
## Residuals     11 179.73  16.339                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27300.73
## Q : 3729850 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 199.83 199.828  21.918 0.0006698 ***
## Residuals     11 100.29   9.117                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10381.59
## Q : 3733292 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 28.869 28.8693  3.4003 0.09226 .
## Residuals     11 93.391  8.4901                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9946.075
## Q : 2966878 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1  33.343  33.343    3.51 0.0878 .
## Residuals     11 104.495   9.500                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15362.31
## Q : 3090526 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 76.363  76.363  37.632 7.367e-05 ***
## Residuals     11 22.321   2.029                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12455.27
## Q : 2466097 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  62.907  62.907  4.8626 0.04964 *
## Residuals     11 142.304  12.937                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10944.99
## Q : 3681220 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  32.542  32.542  1.9421  0.191
## Residuals     11 184.313  16.756
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7749.213
## Q : 2622255 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 22.900 22.9003  4.7836 0.05122 .
## Residuals     11 52.659  4.7872                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in mu + taus + betas + lambda * taus * betas + e: comprimento do objeto
## maior não é múltiplo do comprimento do objeto menor
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11493.88
## Q : 2123250 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  62.22  62.220  2.6291 0.1332
## Residuals     11 260.33  23.666
mean(pvalor1 < 0.05)
## [1] 0.509
mean(pvalor2 < 0.05)
## [1] 0

Caso 3

Para criar um conjunto de dados que não seja aditivos, temos que ter os efeitos do modelo com interação. Por exemplo

\[y_{ij}=\mu+ \tau_i+ \beta_{j}+\lambda\tau_i \beta_{j} +e_{ij}\]

Se tivermos por exemplo

library(agricolae)
taus = c(5,3,-8)
betas = c(-5,-5,10)
sig = 3; mu = 20

trat = factor(rep(1:3,3))
bloc = factor(rep(1:3,each=3))

lambda = seq(-1,1,0.001)

pvalor=c()
e = rnorm(9, 0, sig)
for (simu in 1:length(lambda)) {
  
  y = mu  + rep(taus,3) + rep(betas,each=3) + lambda[simu]*rep(taus,3)*rep(betas,each=3) + e
  
  mod = aov(y~ bloc+trat)
  
    # Podemos calcular a aditividade assim
  nad = nonadditivity(y,bloc,trat,
              df = summary(mod)[[1]][3,1],
              MSerror=summary(mod)[[1]][3,3])

  
  pvalor[simu] = nad$ANOVA[1,5]
}
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29450.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13865.1 13865.1  1161.3 5.556e-05 ***
## Residuals      3    35.8    11.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29419.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13836.6 13836.6  1161.8 5.552e-05 ***
## Residuals      3    35.7    11.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29389.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13808.2 13808.2  1162.3 5.548e-05 ***
## Residuals      3    35.6    11.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29359.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13779.8 13779.8  1162.9 5.544e-05 ***
## Residuals      3    35.5    11.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29329.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 13751.4 13751.4  1163.4 5.54e-05 ***
## Residuals      3    35.5    11.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29298.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13723.0 13723.0  1163.9 5.537e-05 ***
## Residuals      3    35.4    11.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29268.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13694.7 13694.7  1164.5 5.533e-05 ***
## Residuals      3    35.3    11.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29238.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13666.4 13666.4    1165 5.529e-05 ***
## Residuals      3    35.2    11.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29208.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13638.2 13638.2  1165.5 5.525e-05 ***
## Residuals      3    35.1    11.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29177.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  13610 13609.9  1166.1 5.521e-05 ***
## Residuals      3     35    11.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29147.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13581.7 13581.7  1166.6 5.518e-05 ***
## Residuals      3    34.9    11.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29117.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13553.6 13553.6  1167.1 5.514e-05 ***
## Residuals      3    34.8    11.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29087.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 13525.4 13525.4  1167.7 5.51e-05 ***
## Residuals      3    34.7    11.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29056.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13497.3 13497.3  1168.2 5.506e-05 ***
## Residuals      3    34.7    11.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -29026.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13469.2 13469.2  1168.7 5.502e-05 ***
## Residuals      3    34.6    11.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28996.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13441.2 13441.2  1169.3 5.499e-05 ***
## Residuals      3    34.5    11.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28966.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13413.1 13413.1  1169.8 5.495e-05 ***
## Residuals      3    34.4    11.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28935.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13385.1 13385.1  1170.3 5.491e-05 ***
## Residuals      3    34.3    11.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28905.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13357.2 13357.2  1170.9 5.487e-05 ***
## Residuals      3    34.2    11.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28875.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13329.2 13329.2  1171.4 5.484e-05 ***
## Residuals      3    34.1    11.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28845.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1  13301 13301.3    1172 5.48e-05 ***
## Residuals      3     34    11.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28814.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  13273 13273.4  1172.5 5.476e-05 ***
## Residuals      3     34    11.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28784.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13245.6 13245.6    1173 5.472e-05 ***
## Residuals      3    33.9    11.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28754.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13217.8 13217.8  1173.6 5.469e-05 ***
## Residuals      3    33.8    11.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28724.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13190.0 13190.0  1174.1 5.465e-05 ***
## Residuals      3    33.7    11.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28693.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13162.2 13162.2  1174.6 5.461e-05 ***
## Residuals      3    33.6    11.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28663.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13134.5 13134.5  1175.2 5.457e-05 ***
## Residuals      3    33.5    11.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28633.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13106.8 13106.8  1175.7 5.454e-05 ***
## Residuals      3    33.4    11.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28603.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 13079.1 13079.1  1176.3 5.45e-05 ***
## Residuals      3    33.4    11.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28572.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13051.4 13051.4  1176.8 5.446e-05 ***
## Residuals      3    33.3    11.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28542.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13023.8 13023.8  1177.3 5.442e-05 ***
## Residuals      3    33.2    11.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28512.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12996.2   12996  1177.9 5.439e-05 ***
## Residuals      3    33.1      11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28482.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  12969   12969  1178.4 5.435e-05 ***
## Residuals      3     33      11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28451.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12941.1   12941  1178.9 5.431e-05 ***
## Residuals      3    32.9      11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28421.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12913.6 12913.6  1179.5 5.428e-05 ***
## Residuals      3    32.8    10.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28391.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12886.2 12886.2    1180 5.424e-05 ***
## Residuals      3    32.8    10.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28361.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12858.7 12858.7  1180.6 5.42e-05 ***
## Residuals      3    32.7    10.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28330.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12831.3 12831.3  1181.1 5.416e-05 ***
## Residuals      3    32.6    10.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28300.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12803.9 12803.9  1181.6 5.413e-05 ***
## Residuals      3    32.5    10.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28270.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12776.6 12776.6  1182.2 5.409e-05 ***
## Residuals      3    32.4    10.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28240.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12749.3 12749.3  1182.7 5.405e-05 ***
## Residuals      3    32.3    10.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28210
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12722.0 12722.0  1183.3 5.402e-05 ***
## Residuals      3    32.3    10.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28179.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12694.7 12694.7  1183.8 5.398e-05 ***
## Residuals      3    32.2    10.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28149.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12667.5 12667.5  1184.3 5.394e-05 ***
## Residuals      3    32.1    10.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28119.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  12640 12640.3  1184.9 5.391e-05 ***
## Residuals      3     32    10.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28089.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12613.1 12613.1  1185.4 5.387e-05 ***
## Residuals      3    31.9    10.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28058.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12585.9 12585.9    1186 5.383e-05 ***
## Residuals      3    31.8    10.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -28028.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12558.8 12558.8  1186.5 5.38e-05 ***
## Residuals      3    31.8    10.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27998.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12531.7 12531.7    1187 5.376e-05 ***
## Residuals      3    31.7    10.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27968.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12504.7 12504.7  1187.6 5.372e-05 ***
## Residuals      3    31.6    10.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27937.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12477.6 12477.6  1188.1 5.369e-05 ***
## Residuals      3    31.5    10.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27907.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12450.6 12450.6  1188.6 5.365e-05 ***
## Residuals      3    31.4    10.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27877.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12423.6 12423.6  1189.2 5.361e-05 ***
## Residuals      3    31.3    10.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27847.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12396.7 12396.7  1189.7 5.358e-05 ***
## Residuals      3    31.3    10.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27816.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12369.8 12369.8  1190.3 5.354e-05 ***
## Residuals      3    31.2    10.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27786.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12342.9 12342.9  1190.8 5.351e-05 ***
## Residuals      3    31.1    10.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27756.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  12316 12316.0  1191.3 5.347e-05 ***
## Residuals      3     31    10.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27726.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12289.2 12289.2  1191.9 5.343e-05 ***
## Residuals      3    30.9    10.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27695.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12262.4 12262.4  1192.4 5.34e-05 ***
## Residuals      3    30.9    10.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27665.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12235.6 12235.6    1193 5.336e-05 ***
## Residuals      3    30.8    10.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27635.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12208.9 12208.9  1193.5 5.333e-05 ***
## Residuals      3    30.7    10.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27605.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12182.2 12182.2    1194 5.329e-05 ***
## Residuals      3    30.6    10.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27574.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12155.5 12155.5  1194.6 5.325e-05 ***
## Residuals      3    30.5    10.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27544.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12128.9 12128.9  1195.1 5.322e-05 ***
## Residuals      3    30.4    10.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27514.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12102.2 12102.2  1195.6 5.318e-05 ***
## Residuals      3    30.4    10.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27484.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12075.6 12075.6  1196.2 5.315e-05 ***
## Residuals      3    30.3    10.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27453.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12049.1 12049.1  1196.7 5.311e-05 ***
## Residuals      3    30.2    10.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27423.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12022.5   12022  1197.3 5.307e-05 ***
## Residuals      3    30.1      10                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27393.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11996   11996  1197.8 5.304e-05 ***
## Residuals      3     30      10                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27363.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1  11970   11970  1198.3 5.3e-05 ***
## Residuals      3     30      10                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27332.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11943.1   11943  1198.9 5.297e-05 ***
## Residuals      3    29.9      10                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27302.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11916.7 11916.7  1199.4 5.293e-05 ***
## Residuals      3    29.8     9.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27272.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11890.3 11890.3  1199.9 5.29e-05 ***
## Residuals      3    29.7     9.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27242.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11863.9 11863.9  1200.5 5.286e-05 ***
## Residuals      3    29.6     9.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27211.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11837.6 11837.6    1201 5.283e-05 ***
## Residuals      3    29.6     9.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27181.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11811.3 11811.3  1201.5 5.279e-05 ***
## Residuals      3    29.5     9.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27151.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11785.0 11785.0  1202.1 5.276e-05 ***
## Residuals      3    29.4     9.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27121.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11758.8 11758.8  1202.6 5.272e-05 ***
## Residuals      3    29.3     9.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27090.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11732.6 11732.6  1203.2 5.269e-05 ***
## Residuals      3    29.3     9.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27060.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11706.4 11706.4  1203.7 5.265e-05 ***
## Residuals      3    29.2     9.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27030.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11680.3 11680.3  1204.2 5.262e-05 ***
## Residuals      3    29.1     9.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -27000.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11654 11654.1  1204.8 5.258e-05 ***
## Residuals      3     29     9.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26969.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11628.0 11628.0  1205.3 5.255e-05 ***
## Residuals      3    28.9     9.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26939.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11602.0 11602.0  1205.8 5.251e-05 ***
## Residuals      3    28.9     9.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26909.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11575.9 11575.9  1206.4 5.248e-05 ***
## Residuals      3    28.8     9.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26879.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11549.9 11549.9  1206.9 5.244e-05 ***
## Residuals      3    28.7     9.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26848.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11523.9 11523.9  1207.4 5.241e-05 ***
## Residuals      3    28.6     9.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26818.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11498.0 11498.0    1208 5.237e-05 ***
## Residuals      3    28.6     9.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26788.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11472.1 11472.1  1208.5 5.234e-05 ***
## Residuals      3    28.5     9.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26758.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11446.2 11446.2    1209 5.23e-05 ***
## Residuals      3    28.4     9.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26727.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11420.3 11420.3  1209.5 5.227e-05 ***
## Residuals      3    28.3     9.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26697.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11394.5 11394.5  1210.1 5.223e-05 ***
## Residuals      3    28.2     9.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26667.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11368.7 11368.7  1210.6 5.22e-05 ***
## Residuals      3    28.2     9.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26637.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11342.9 11342.9  1211.1 5.217e-05 ***
## Residuals      3    28.1     9.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26606.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11317 11317.2  1211.7 5.213e-05 ***
## Residuals      3     28     9.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26576.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11291.4 11291.4  1212.2 5.21e-05 ***
## Residuals      3    27.9     9.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26546.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11265.8 11265.8  1212.7 5.206e-05 ***
## Residuals      3    27.9     9.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26516.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11240.1 11240.1  1213.3 5.203e-05 ***
## Residuals      3    27.8     9.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26485.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 11214.5 11214.5  1213.8 5.2e-05 ***
## Residuals      3    27.7     9.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26455.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11188.9 11188.9  1214.3 5.196e-05 ***
## Residuals      3    27.6     9.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26425.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11163.3 11163.3  1214.8 5.193e-05 ***
## Residuals      3    27.6     9.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26395.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11137.8 11137.8  1215.4 5.19e-05 ***
## Residuals      3    27.5     9.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26364.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11112.2 11112.2  1215.9 5.186e-05 ***
## Residuals      3    27.4     9.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26334.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11086.8 11086.8  1216.4 5.183e-05 ***
## Residuals      3    27.3     9.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26304.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11061.3 11061.3  1216.9 5.18e-05 ***
## Residuals      3    27.3     9.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26274.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11035.9 11035.9  1217.5 5.176e-05 ***
## Residuals      3    27.2     9.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26243.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11010.5   11010    1218 5.173e-05 ***
## Residuals      3    27.1       9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26213.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1  10985   10985  1218.5 5.17e-05 ***
## Residuals      3     27       9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26183.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10960   10960    1219 5.166e-05 ***
## Residuals      3     27       9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26153.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10934.5   10934  1219.5 5.163e-05 ***
## Residuals      3    26.9       9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26122.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10909.2 10909.2  1220.1 5.16e-05 ***
## Residuals      3    26.8     8.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26092.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10884.0 10884.0  1220.6 5.156e-05 ***
## Residuals      3    26.8     8.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26062.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10858.7 10858.7  1221.1 5.153e-05 ***
## Residuals      3    26.7     8.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26032.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10833.6 10833.6  1221.6 5.15e-05 ***
## Residuals      3    26.6     8.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -26001.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10808.4 10808.4  1222.1 5.147e-05 ***
## Residuals      3    26.5     8.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25971.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10783.3 10783.3  1222.6 5.143e-05 ***
## Residuals      3    26.5     8.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25941.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10758.2 10758.2  1223.2 5.14e-05 ***
## Residuals      3    26.4     8.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25911.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10733.1 10733.1  1223.7 5.137e-05 ***
## Residuals      3    26.3     8.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25881
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10708.0 10708.0  1224.2 5.134e-05 ***
## Residuals      3    26.2     8.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25850.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10683.0 10683.0  1224.7 5.13e-05 ***
## Residuals      3    26.2     8.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25820.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10658.0 10658.0  1225.2 5.127e-05 ***
## Residuals      3    26.1     8.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25790.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10633 10633.1  1225.7 5.124e-05 ***
## Residuals      3     26     8.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25760.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10608 10608.2  1226.2 5.121e-05 ***
## Residuals      3     26     8.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25729.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10583.3 10583.3  1226.8 5.118e-05 ***
## Residuals      3    25.9     8.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25699.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10558.4 10558.4  1227.3 5.114e-05 ***
## Residuals      3    25.8     8.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25669.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10533.6 10533.6  1227.8 5.111e-05 ***
## Residuals      3    25.7     8.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25639.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10508.8 10508.8  1228.3 5.108e-05 ***
## Residuals      3    25.7     8.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25608.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10484.0 10484.0  1228.8 5.105e-05 ***
## Residuals      3    25.6     8.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25578.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10459.2 10459.2  1229.3 5.102e-05 ***
## Residuals      3    25.5     8.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25548.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10434.5 10434.5  1229.8 5.099e-05 ***
## Residuals      3    25.5     8.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25518.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10409.8 10409.8  1230.3 5.095e-05 ***
## Residuals      3    25.4     8.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25487.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10385.1 10385.1  1230.8 5.092e-05 ***
## Residuals      3    25.3     8.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25457.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10360.5 10360.5  1231.3 5.089e-05 ***
## Residuals      3    25.2     8.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25427.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10335.9 10335.9  1231.8 5.086e-05 ***
## Residuals      3    25.2     8.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25397.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10311.3 10311.3  1232.3 5.083e-05 ***
## Residuals      3    25.1     8.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25366.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1  10287 10286.8  1232.8 5.08e-05 ***
## Residuals      3     25     8.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25336.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10262 10262.3  1233.3 5.077e-05 ***
## Residuals      3     25     8.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25306.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10237.8 10237.8  1233.8 5.074e-05 ***
## Residuals      3    24.9     8.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25276.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10213.3 10213.3  1234.3 5.071e-05 ***
## Residuals      3    24.8     8.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25245.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10188.9 10188.9  1234.8 5.068e-05 ***
## Residuals      3    24.8     8.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25215.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10164.5 10164.5  1235.3 5.065e-05 ***
## Residuals      3    24.7     8.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25185.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10140.1 10140.1  1235.8 5.062e-05 ***
## Residuals      3    24.6     8.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25155.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10115.8 10115.8  1236.3 5.059e-05 ***
## Residuals      3    24.5     8.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25124.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10091.5 10091.5  1236.8 5.056e-05 ***
## Residuals      3    24.5     8.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25094.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10067.2 10067.2  1237.2 5.053e-05 ***
## Residuals      3    24.4     8.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25064.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10042.9 10042.9  1237.7 5.05e-05 ***
## Residuals      3    24.3     8.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25034.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10018.7 10018.7  1238.2 5.047e-05 ***
## Residuals      3    24.3     8.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -25003.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9994.5  9994.5  1238.7 5.044e-05 ***
## Residuals      3   24.2     8.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24973.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9970.3  9970.3  1239.2 5.041e-05 ***
## Residuals      3   24.1     8.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24943.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9946.2  9946.2  1239.7 5.038e-05 ***
## Residuals      3   24.1     8.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24913.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9922.1  9922.1  1240.1 5.035e-05 ***
## Residuals      3   24.0     8.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24882.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9898.0    9898  1240.6 5.032e-05 ***
## Residuals      3   23.9       8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24852.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9874.0    9874  1241.1 5.029e-05 ***
## Residuals      3   23.9       8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24822.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9850.0  9850.0  1241.6 5.026e-05 ***
## Residuals      3   23.8     7.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24792.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9826.0  9826.0    1242 5.023e-05 ***
## Residuals      3   23.7     7.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24761.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9802.0  9802.0  1242.5 5.021e-05 ***
## Residuals      3   23.7     7.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24731.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9778.1  9778.1    1243 5.018e-05 ***
## Residuals      3   23.6     7.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24701.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9754.2  9754.2  1243.5 5.015e-05 ***
## Residuals      3   23.5     7.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24671.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9730.3  9730.3  1243.9 5.012e-05 ***
## Residuals      3   23.5     7.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24640.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9706.5  9706.5  1244.4 5.009e-05 ***
## Residuals      3   23.4     7.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24610.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9682.6  9682.6  1244.9 5.006e-05 ***
## Residuals      3   23.3     7.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24580.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9658.9  9658.9  1245.3 5.004e-05 ***
## Residuals      3   23.3     7.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24550.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9635.1  9635.1  1245.8 5.001e-05 ***
## Residuals      3   23.2     7.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24519.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9611.4  9611.4  1246.3 4.998e-05 ***
## Residuals      3   23.1     7.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24489.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9587.7  9587.7  1246.7 4.995e-05 ***
## Residuals      3   23.1     7.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24459.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1   9564  9564.0  1247.2 4.993e-05 ***
## Residuals      3     23     7.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24429.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 9540.4  9540.4  1247.6 4.99e-05 ***
## Residuals      3   22.9     7.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24398.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9516.8  9516.8  1248.1 4.987e-05 ***
## Residuals      3   22.9     7.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24368.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9493.2  9493.2  1248.5 4.984e-05 ***
## Residuals      3   22.8     7.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24338.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9469.6  9469.6    1249 4.982e-05 ***
## Residuals      3   22.7     7.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24308.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9446.1  9446.1  1249.4 4.979e-05 ***
## Residuals      3   22.7     7.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24277.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9422.6  9422.6  1249.9 4.976e-05 ***
## Residuals      3   22.6     7.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24247.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9399.1  9399.1  1250.3 4.974e-05 ***
## Residuals      3   22.6     7.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24217.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9375.7  9375.7  1250.8 4.971e-05 ***
## Residuals      3   22.5     7.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24187.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9352.3  9352.3  1251.2 4.968e-05 ***
## Residuals      3   22.4     7.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24156.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9328.9  9328.9  1251.7 4.966e-05 ***
## Residuals      3   22.4     7.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24126.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9305.6  9305.6  1252.1 4.963e-05 ***
## Residuals      3   22.3     7.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24096.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9282.3  9282.3  1252.5 4.961e-05 ***
## Residuals      3   22.2     7.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24066.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9259.0  9259.0    1253 4.958e-05 ***
## Residuals      3   22.2     7.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24035.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9235.7  9235.7  1253.4 4.956e-05 ***
## Residuals      3   22.1     7.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -24005.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9212.5  9212.5  1253.8 4.953e-05 ***
## Residuals      3   22.0     7.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23975.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 9189.3  9189.3  1254.3 4.95e-05 ***
## Residuals      3   22.0     7.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23945.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9166.1  9166.1  1254.7 4.948e-05 ***
## Residuals      3   21.9     7.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23914.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9143.0  9143.0  1255.1 4.945e-05 ***
## Residuals      3   21.9     7.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23884.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9119.9  9119.9  1255.5 4.943e-05 ***
## Residuals      3   21.8     7.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23854.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9096.8  9096.8  1255.9 4.941e-05 ***
## Residuals      3   21.7     7.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23824.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9073.7  9073.7  1256.4 4.938e-05 ***
## Residuals      3   21.7     7.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23793.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9050.7  9050.7  1256.8 4.936e-05 ***
## Residuals      3   21.6     7.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23763.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9027.7  9027.7  1257.2 4.933e-05 ***
## Residuals      3   21.5     7.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23733.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9004.7  9004.7  1257.6 4.931e-05 ***
## Residuals      3   21.5     7.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23703.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8981.8  8981.8    1258 4.928e-05 ***
## Residuals      3   21.4     7.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23672.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8958.9  8958.9  1258.4 4.926e-05 ***
## Residuals      3   21.4     7.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23642.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8936.0  8936.0  1258.8 4.924e-05 ***
## Residuals      3   21.3     7.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23612.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8913.2  8913.2  1259.2 4.921e-05 ***
## Residuals      3   21.2     7.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23582.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8890.3  8890.3  1259.6 4.919e-05 ***
## Residuals      3   21.2     7.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23552.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8867.6  8867.6    1260 4.917e-05 ***
## Residuals      3   21.1     7.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23521.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8844.8  8844.8  1260.4 4.914e-05 ***
## Residuals      3   21.1     7.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23491.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8822.1  8822.1  1260.8 4.912e-05 ***
## Residuals      3   21.0     7.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23461.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8799.4  8799.4  1261.2 4.91e-05 ***
## Residuals      3   20.9     7.0                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23431.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8776.7  8776.7  1261.6 4.908e-05 ***
## Residuals      3   20.9     7.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23400.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8754.0  8754.0    1262 4.905e-05 ***
## Residuals      3   20.8     6.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23370.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8731.4  8731.4  1262.3 4.903e-05 ***
## Residuals      3   20.8     6.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23340.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8708.8  8708.8  1262.7 4.901e-05 ***
## Residuals      3   20.7     6.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23310.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8686.3  8686.3  1263.1 4.899e-05 ***
## Residuals      3   20.6     6.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23279.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8663.7  8663.7  1263.5 4.897e-05 ***
## Residuals      3   20.6     6.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23249.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8641.3  8641.3  1263.8 4.894e-05 ***
## Residuals      3   20.5     6.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23219.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8618.8  8618.8  1264.2 4.892e-05 ***
## Residuals      3   20.5     6.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23189.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8596.3  8596.3  1264.6 4.89e-05 ***
## Residuals      3   20.4     6.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23158.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8573.9  8573.9  1264.9 4.888e-05 ***
## Residuals      3   20.3     6.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23128.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8551.5  8551.5  1265.3 4.886e-05 ***
## Residuals      3   20.3     6.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23098.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8529.2  8529.2  1265.6 4.884e-05 ***
## Residuals      3   20.2     6.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23068.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8506.9  8506.9    1266 4.882e-05 ***
## Residuals      3   20.2     6.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23037.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8484.6  8484.6  1266.3 4.88e-05 ***
## Residuals      3   20.1     6.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -23007.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8462.3  8462.3  1266.7 4.878e-05 ***
## Residuals      3   20.0     6.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22977.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8440.1  8440.1    1267 4.876e-05 ***
## Residuals      3   20.0     6.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22947.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8417.9  8417.9  1267.4 4.874e-05 ***
## Residuals      3   19.9     6.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22916.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8395.7  8395.7  1267.7 4.872e-05 ***
## Residuals      3   19.9     6.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22886.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8373.6  8373.6    1268 4.87e-05 ***
## Residuals      3   19.8     6.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22856.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8351.4  8351.4  1268.4 4.868e-05 ***
## Residuals      3   19.8     6.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22826.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8329.3  8329.3  1268.7 4.866e-05 ***
## Residuals      3   19.7     6.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22795.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8307.3  8307.3    1269 4.864e-05 ***
## Residuals      3   19.6     6.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22765.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8285.3  8285.3  1269.3 4.863e-05 ***
## Residuals      3   19.6     6.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22735.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8263.3  8263.3  1269.7 4.861e-05 ***
## Residuals      3   19.5     6.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22705.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8241.3  8241.3    1270 4.859e-05 ***
## Residuals      3   19.5     6.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22674.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8219.3  8219.3  1270.3 4.857e-05 ***
## Residuals      3   19.4     6.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22644.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8197.4  8197.4  1270.6 4.855e-05 ***
## Residuals      3   19.4     6.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22614.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8175.5  8175.5  1270.9 4.854e-05 ***
## Residuals      3   19.3     6.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22584.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8153.7  8153.7  1271.2 4.852e-05 ***
## Residuals      3   19.2     6.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22553.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8131.9  8131.9  1271.5 4.85e-05 ***
## Residuals      3   19.2     6.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22523.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8110.1  8110.1  1271.8 4.849e-05 ***
## Residuals      3   19.1     6.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22493.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8088.3  8088.3  1272.1 4.847e-05 ***
## Residuals      3   19.1     6.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22463.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8066.6  8066.6  1272.4 4.845e-05 ***
## Residuals      3   19.0     6.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22432.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8044.8  8044.8  1272.6 4.844e-05 ***
## Residuals      3   19.0     6.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22402.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8023.2  8023.2  1272.9 4.842e-05 ***
## Residuals      3   18.9     6.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22372.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8001.5  8001.5  1273.2 4.841e-05 ***
## Residuals      3   18.9     6.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22342.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7979.9  7979.9  1273.5 4.839e-05 ***
## Residuals      3   18.8     6.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22311.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7958.3  7958.3  1273.7 4.838e-05 ***
## Residuals      3   18.7     6.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22281.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7936.7  7936.7    1274 4.836e-05 ***
## Residuals      3   18.7     6.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22251.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7915.2  7915.2  1274.3 4.835e-05 ***
## Residuals      3   18.6     6.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22221.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7893.7  7893.7  1274.5 4.833e-05 ***
## Residuals      3   18.6     6.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22190.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7872.2  7872.2  1274.8 4.832e-05 ***
## Residuals      3   18.5     6.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22160.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7850.8  7850.8    1275 4.83e-05 ***
## Residuals      3   18.5     6.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22130.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7829.4  7829.4  1275.2 4.829e-05 ***
## Residuals      3   18.4     6.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22100.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7808.0  7808.0  1275.5 4.828e-05 ***
## Residuals      3   18.4     6.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22069.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7786.6  7786.6  1275.7 4.826e-05 ***
## Residuals      3   18.3     6.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22039.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7765.3  7765.3  1275.9 4.825e-05 ***
## Residuals      3   18.3     6.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -22009.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7744.0  7744.0  1276.2 4.824e-05 ***
## Residuals      3   18.2     6.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21979.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7722.7  7722.7  1276.4 4.822e-05 ***
## Residuals      3   18.2     6.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21948.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7701.5  7701.5  1276.6 4.821e-05 ***
## Residuals      3   18.1     6.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21918.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7680.3  7680.3  1276.8 4.82e-05 ***
## Residuals      3   18.0     6.0                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21888.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7659.1  7659.1    1277 4.819e-05 ***
## Residuals      3   18.0     6.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21858.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7637.9  7637.9  1277.2 4.818e-05 ***
## Residuals      3   17.9     6.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21827.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7616.8  7616.8  1277.4 4.817e-05 ***
## Residuals      3   17.9     6.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21797.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7595.7  7595.7  1277.6 4.815e-05 ***
## Residuals      3   17.8     5.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21767.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7574.7  7574.7  1277.8 4.814e-05 ***
## Residuals      3   17.8     5.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21737.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7553.6  7553.6    1278 4.813e-05 ***
## Residuals      3   17.7     5.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21706.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7532.6  7532.6  1278.2 4.812e-05 ***
## Residuals      3   17.7     5.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21676.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7511.6  7511.6  1278.4 4.811e-05 ***
## Residuals      3   17.6     5.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21646.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7490.7  7490.7  1278.5 4.81e-05 ***
## Residuals      3   17.6     5.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21616.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7469.8  7469.8  1278.7 4.809e-05 ***
## Residuals      3   17.5     5.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21585.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7448.9  7448.9  1278.9 4.809e-05 ***
## Residuals      3   17.5     5.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21555.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7428.0  7428.0    1279 4.808e-05 ***
## Residuals      3   17.4     5.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21525.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7407.2  7407.2  1279.2 4.807e-05 ***
## Residuals      3   17.4     5.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21495.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7386.4  7386.4  1279.3 4.806e-05 ***
## Residuals      3   17.3     5.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21464.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7365.6  7365.6  1279.4 4.805e-05 ***
## Residuals      3   17.3     5.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21434.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7344.9  7344.9  1279.6 4.804e-05 ***
## Residuals      3   17.2     5.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21404.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7324.2  7324.2  1279.7 4.804e-05 ***
## Residuals      3   17.2     5.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21374.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7303.5  7303.5  1279.8 4.803e-05 ***
## Residuals      3   17.1     5.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21344
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7282.8  7282.8    1280 4.802e-05 ***
## Residuals      3   17.1     5.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21313.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7262.2  7262.2  1280.1 4.802e-05 ***
## Residuals      3   17.0     5.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21283.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7241.6  7241.6  1280.2 4.801e-05 ***
## Residuals      3   17.0     5.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21253.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7221.0  7221.0  1280.3 4.801e-05 ***
## Residuals      3   16.9     5.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21223.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 7200.5  7200.5  1280.4 4.8e-05 ***
## Residuals      3   16.9     5.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21192.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7180.0  7180.0  1280.5 4.799e-05 ***
## Residuals      3   16.8     5.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21162.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7159.5  7159.5  1280.6 4.799e-05 ***
## Residuals      3   16.8     5.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21132.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7139.0  7139.0  1280.6 4.799e-05 ***
## Residuals      3   16.7     5.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21102.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7118.6  7118.6  1280.7 4.798e-05 ***
## Residuals      3   16.7     5.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21071.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7098.2  7098.2  1280.8 4.798e-05 ***
## Residuals      3   16.6     5.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21041.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7077.9  7077.9  1280.8 4.797e-05 ***
## Residuals      3   16.6     5.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -21011.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7057.5  7057.5  1280.9 4.797e-05 ***
## Residuals      3   16.5     5.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20981.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7037.2  7037.2    1281 4.797e-05 ***
## Residuals      3   16.5     5.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20950.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7017.0  7017.0    1281 4.797e-05 ***
## Residuals      3   16.4     5.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20920.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6996.7  6996.7    1281 4.796e-05 ***
## Residuals      3   16.4     5.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20890.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6976.5  6976.5  1281.1 4.796e-05 ***
## Residuals      3   16.3     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20860.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6956.3  6956.3  1281.1 4.796e-05 ***
## Residuals      3   16.3     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20829.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6936.1  6936.1  1281.1 4.796e-05 ***
## Residuals      3   16.2     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20799.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6916.0  6916.0  1281.1 4.796e-05 ***
## Residuals      3   16.2     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20769.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6895.9  6895.9  1281.1 4.796e-05 ***
## Residuals      3   16.1     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20739.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6875.8  6875.8  1281.1 4.796e-05 ***
## Residuals      3   16.1     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20708.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6855.8  6855.8  1281.1 4.796e-05 ***
## Residuals      3   16.1     5.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20678.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6835.8  6835.8  1281.1 4.796e-05 ***
## Residuals      3   16.0     5.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20648.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6815.8  6815.8  1281.1 4.796e-05 ***
## Residuals      3   16.0     5.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20618.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6795.9  6795.9  1281.1 4.796e-05 ***
## Residuals      3   15.9     5.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20587.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6775.9  6775.9  1281.1 4.796e-05 ***
## Residuals      3   15.9     5.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20557.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6756.0  6756.0    1281 4.796e-05 ***
## Residuals      3   15.8     5.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20527.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6736.2  6736.2    1281 4.797e-05 ***
## Residuals      3   15.8     5.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20497.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6716.3  6716.3  1280.9 4.797e-05 ***
## Residuals      3   15.7     5.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20466.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6696.5  6696.5  1280.9 4.797e-05 ***
## Residuals      3   15.7     5.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20436.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6676.7  6676.7  1280.8 4.798e-05 ***
## Residuals      3   15.6     5.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20406.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6657.0  6657.0  1280.7 4.798e-05 ***
## Residuals      3   15.6     5.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20376.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6637.3  6637.3  1280.6 4.799e-05 ***
## Residuals      3   15.5     5.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20345.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6617.6  6617.6  1280.6 4.799e-05 ***
## Residuals      3   15.5     5.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20315.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 6597.9  6597.9  1280.5 4.8e-05 ***
## Residuals      3   15.5     5.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20285.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 6578.3  6578.3  1280.4 4.8e-05 ***
## Residuals      3   15.4     5.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20255.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6558.7  6558.7  1280.3 4.801e-05 ***
## Residuals      3   15.4     5.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20224.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6539.1  6539.1  1280.1 4.801e-05 ***
## Residuals      3   15.3     5.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20194.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6519.6  6519.6    1280 4.802e-05 ***
## Residuals      3   15.3     5.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20164.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6500.1  6500.1  1279.9 4.803e-05 ***
## Residuals      3   15.2     5.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20134.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6480.6  6480.6  1279.8 4.804e-05 ***
## Residuals      3   15.2     5.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20103.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6461.1  6461.1  1279.6 4.804e-05 ***
## Residuals      3   15.1     5.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20073.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6441.7  6441.7  1279.5 4.805e-05 ***
## Residuals      3   15.1     5.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20043.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6422.3  6422.3  1279.3 4.806e-05 ***
## Residuals      3   15.1     5.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20013.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6402.9  6402.9  1279.1 4.807e-05 ***
## Residuals      3   15.0     5.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19982.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6383.6  6383.6  1278.9 4.808e-05 ***
## Residuals      3   15.0     5.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19952.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6364.3  6364.3  1278.8 4.809e-05 ***
## Residuals      3   14.9     5.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19922.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 6345.0    6345  1278.6 4.81e-05 ***
## Residuals      3   14.9       5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19892.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6325.7  6325.7  1278.4 4.811e-05 ***
## Residuals      3   14.8     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19861.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6306.5  6306.5  1278.2 4.813e-05 ***
## Residuals      3   14.8     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19831.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6287.3  6287.3  1277.9 4.814e-05 ***
## Residuals      3   14.8     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19801.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6268.2  6268.2  1277.7 4.815e-05 ***
## Residuals      3   14.7     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19771.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6249.0  6249.0  1277.5 4.816e-05 ***
## Residuals      3   14.7     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19740.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6229.9  6229.9  1277.2 4.818e-05 ***
## Residuals      3   14.6     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19710.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6210.8  6210.8    1277 4.819e-05 ***
## Residuals      3   14.6     4.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19680.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6191.8  6191.8  1276.7 4.821e-05 ***
## Residuals      3   14.5     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19650.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6172.8  6172.8  1276.5 4.822e-05 ***
## Residuals      3   14.5     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19619.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6153.8  6153.8  1276.2 4.824e-05 ***
## Residuals      3   14.5     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19589.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6134.8  6134.8  1275.9 4.825e-05 ***
## Residuals      3   14.4     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19559.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6115.9  6115.9  1275.6 4.827e-05 ***
## Residuals      3   14.4     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19529.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6097.0  6097.0  1275.3 4.829e-05 ***
## Residuals      3   14.3     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19498.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 6078.1  6078.1    1275 4.83e-05 ***
## Residuals      3   14.3     4.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19468.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6059.3  6059.3  1274.7 4.832e-05 ***
## Residuals      3   14.3     4.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19438.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6040.5  6040.5  1274.3 4.834e-05 ***
## Residuals      3   14.2     4.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19408.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6021.7  6021.7    1274 4.836e-05 ***
## Residuals      3   14.2     4.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19377.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6002.9  6002.9  1273.6 4.838e-05 ***
## Residuals      3   14.1     4.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19347.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5984.2  5984.2  1273.3 4.84e-05 ***
## Residuals      3   14.1     4.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19317.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5965.5  5965.5  1272.9 4.842e-05 ***
## Residuals      3   14.1     4.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19287.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5946.9  5946.9  1272.5 4.844e-05 ***
## Residuals      3   14.0     4.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19256.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5928.2  5928.2  1272.2 4.847e-05 ***
## Residuals      3   14.0     4.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19226.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5909.6  5909.6  1271.8 4.849e-05 ***
## Residuals      3   13.9     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19196.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5891.0  5891.0  1271.4 4.851e-05 ***
## Residuals      3   13.9     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19166.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5872.5  5872.5  1270.9 4.853e-05 ***
## Residuals      3   13.9     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19135.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5854.0  5854.0  1270.5 4.856e-05 ***
## Residuals      3   13.8     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19105.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5835.5  5835.5  1270.1 4.858e-05 ***
## Residuals      3   13.8     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19075.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5817.0  5817.0  1269.6 4.861e-05 ***
## Residuals      3   13.7     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19045.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5798.6  5798.6  1269.2 4.864e-05 ***
## Residuals      3   13.7     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -19015
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5780.2  5780.2  1268.7 4.866e-05 ***
## Residuals      3   13.7     4.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18984.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5761.8  5761.8  1268.3 4.869e-05 ***
## Residuals      3   13.6     4.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18954.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5743.5  5743.5  1267.8 4.872e-05 ***
## Residuals      3   13.6     4.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18924.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5725.1  5725.1  1267.3 4.875e-05 ***
## Residuals      3   13.6     4.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18894.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5706.8  5706.8  1266.8 4.877e-05 ***
## Residuals      3   13.5     4.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18863.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5688.6  5688.6  1266.3 4.88e-05 ***
## Residuals      3   13.5     4.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18833.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5670.4  5670.4  1265.7 4.883e-05 ***
## Residuals      3   13.4     4.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18803.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5652.2  5652.2  1265.2 4.887e-05 ***
## Residuals      3   13.4     4.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18773.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5634.0  5634.0  1264.6 4.89e-05 ***
## Residuals      3   13.4     4.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18742.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5615.9  5615.9  1264.1 4.893e-05 ***
## Residuals      3   13.3     4.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18712.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5597.7  5597.7  1263.5 4.896e-05 ***
## Residuals      3   13.3     4.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18682.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 5579.7  5579.7  1262.9 4.9e-05 ***
## Residuals      3   13.3     4.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18652.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5561.6  5561.6  1262.4 4.903e-05 ***
## Residuals      3   13.2     4.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18621.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5543.6  5543.6  1261.7 4.907e-05 ***
## Residuals      3   13.2     4.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18591.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5525.6  5525.6  1261.1 4.91e-05 ***
## Residuals      3   13.1     4.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18561.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5507.6  5507.6  1260.5 4.914e-05 ***
## Residuals      3   13.1     4.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18531.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5489.7  5489.7  1259.9 4.917e-05 ***
## Residuals      3   13.1     4.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18500.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5471.8  5471.8  1259.2 4.921e-05 ***
## Residuals      3   13.0     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18470.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5453.9  5453.9  1258.6 4.925e-05 ***
## Residuals      3   13.0     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18440.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5436.1  5436.1  1257.9 4.929e-05 ***
## Residuals      3   13.0     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18410.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5418.2  5418.2  1257.2 4.933e-05 ***
## Residuals      3   12.9     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18379.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5400.5  5400.5  1256.5 4.937e-05 ***
## Residuals      3   12.9     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18349.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5382.7  5382.7  1255.8 4.941e-05 ***
## Residuals      3   12.9     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18319.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5365.0  5365.0  1255.1 4.945e-05 ***
## Residuals      3   12.8     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18289.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5347.3  5347.3  1254.4 4.95e-05 ***
## Residuals      3   12.8     4.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18258.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5329.6  5329.6  1253.7 4.954e-05 ***
## Residuals      3   12.8     4.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18228.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5311.9  5311.9  1252.9 4.958e-05 ***
## Residuals      3   12.7     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18198.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5294.3  5294.3  1252.2 4.963e-05 ***
## Residuals      3   12.7     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18168.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5276.8  5276.8  1251.4 4.968e-05 ***
## Residuals      3   12.7     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18137.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5259.2  5259.2  1250.6 4.972e-05 ***
## Residuals      3   12.6     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18107.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5241.7  5241.7  1249.8 4.977e-05 ***
## Residuals      3   12.6     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18077.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5224.2  5224.2    1249 4.982e-05 ***
## Residuals      3   12.5     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18047.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5206.7  5206.7  1248.2 4.987e-05 ***
## Residuals      3   12.5     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -18016.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5189.3  5189.3  1247.3 4.992e-05 ***
## Residuals      3   12.5     4.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17986.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5171.9  5171.9  1246.5 4.997e-05 ***
## Residuals      3   12.4     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17956.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5154.5  5154.5  1245.6 5.002e-05 ***
## Residuals      3   12.4     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17926.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5137.1  5137.1  1244.8 5.007e-05 ***
## Residuals      3   12.4     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17895.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5119.8  5119.8  1243.9 5.012e-05 ***
## Residuals      3   12.3     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17865.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5102.5  5102.5    1243 5.018e-05 ***
## Residuals      3   12.3     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17835.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5085.3  5085.3  1242.1 5.023e-05 ***
## Residuals      3   12.3     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17805.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5068.0  5068.0  1241.1 5.029e-05 ***
## Residuals      3   12.3     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17774.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5050.8  5050.8  1240.2 5.035e-05 ***
## Residuals      3   12.2     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17744.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5033.6  5033.6  1239.3 5.04e-05 ***
## Residuals      3   12.2     4.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17714.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5016.5  5016.5  1238.3 5.046e-05 ***
## Residuals      3   12.2     4.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17684.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4999.4  4999.4  1237.3 5.052e-05 ***
## Residuals      3   12.1     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17653.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4982.3  4982.3  1236.3 5.058e-05 ***
## Residuals      3   12.1     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17623.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4965.2  4965.2  1235.3 5.064e-05 ***
## Residuals      3   12.1     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17593.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4948.2  4948.2  1234.3 5.071e-05 ***
## Residuals      3   12.0     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17563.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4931.2  4931.2  1233.3 5.077e-05 ***
## Residuals      3   12.0     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17532.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4914.2  4914.2  1232.2 5.083e-05 ***
## Residuals      3   12.0     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17502.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4897.3  4897.3  1231.2 5.09e-05 ***
## Residuals      3   11.9     4.0                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17472.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4880.4  4880.4  1230.1 5.097e-05 ***
## Residuals      3   11.9     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17442.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4863.5  4863.5    1229 5.103e-05 ***
## Residuals      3   11.9     4.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17411.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4846.6  4846.6    1228 5.11e-05 ***
## Residuals      3   11.8     3.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17381.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4829.8  4829.8  1226.8 5.117e-05 ***
## Residuals      3   11.8     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17351.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4813.0  4813.0  1225.7 5.124e-05 ***
## Residuals      3   11.8     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17321.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4796.3  4796.3  1224.6 5.131e-05 ***
## Residuals      3   11.7     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17290.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4779.5  4779.5  1223.4 5.138e-05 ***
## Residuals      3   11.7     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17260.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4762.8  4762.8  1222.3 5.146e-05 ***
## Residuals      3   11.7     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17230.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4746.1  4746.1  1221.1 5.153e-05 ***
## Residuals      3   11.7     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17200.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4729.5  4729.5  1219.9 5.161e-05 ***
## Residuals      3   11.6     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17169.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4712.9  4712.9  1218.7 5.168e-05 ***
## Residuals      3   11.6     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17139.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4696.3  4696.3  1217.5 5.176e-05 ***
## Residuals      3   11.6     3.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17109.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4679.7  4679.7  1216.2 5.184e-05 ***
## Residuals      3   11.5     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17079.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4663.2  4663.2    1215 5.192e-05 ***
## Residuals      3   11.5     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17048.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 4646.7  4646.7  1213.7 5.2e-05 ***
## Residuals      3   11.5     3.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -17018.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4630.2  4630.2  1212.4 5.208e-05 ***
## Residuals      3   11.5     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16988.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4613.8  4613.8  1211.1 5.217e-05 ***
## Residuals      3   11.4     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16958.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4597.4  4597.4  1209.8 5.225e-05 ***
## Residuals      3   11.4     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16927.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4581.0  4581.0  1208.5 5.234e-05 ***
## Residuals      3   11.4     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16897.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4564.6  4564.6  1207.2 5.242e-05 ***
## Residuals      3   11.3     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16867.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4548.3  4548.3  1205.8 5.251e-05 ***
## Residuals      3   11.3     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16837.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4532.0  4532.0  1204.4 5.26e-05 ***
## Residuals      3   11.3     3.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16806.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4515.7  4515.7  1203.1 5.269e-05 ***
## Residuals      3   11.3     3.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16776.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4499.5  4499.5  1201.7 5.278e-05 ***
## Residuals      3   11.2     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16746.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4483.3  4483.3  1200.3 5.288e-05 ***
## Residuals      3   11.2     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16716.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4467.1  4467.1  1198.8 5.297e-05 ***
## Residuals      3   11.2     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16686
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4450.9  4450.9  1197.4 5.307e-05 ***
## Residuals      3   11.2     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16655.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4434.8  4434.8  1195.9 5.316e-05 ***
## Residuals      3   11.1     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16625.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4418.7  4418.7  1194.5 5.326e-05 ***
## Residuals      3   11.1     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16595.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4402.7  4402.7    1193 5.336e-05 ***
## Residuals      3   11.1     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16565.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4386.6  4386.6  1191.5 5.346e-05 ***
## Residuals      3   11.0     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16534.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4370.6  4370.6  1189.9 5.356e-05 ***
## Residuals      3   11.0     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16504.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4354.7  4354.7  1188.4 5.367e-05 ***
## Residuals      3   11.0     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16474.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4338.7  4338.7  1186.9 5.377e-05 ***
## Residuals      3   11.0     3.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16444.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4322.8  4322.8  1185.3 5.388e-05 ***
## Residuals      3   10.9     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16413.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4306.9  4306.9  1183.7 5.399e-05 ***
## Residuals      3   10.9     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16383.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4291.0  4291.0  1182.1 5.41e-05 ***
## Residuals      3   10.9     3.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16353.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4275.2  4275.2  1180.5 5.421e-05 ***
## Residuals      3   10.9     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16323.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4259.4  4259.4  1178.9 5.432e-05 ***
## Residuals      3   10.8     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16292.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4243.6  4243.6  1177.2 5.443e-05 ***
## Residuals      3   10.8     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16262.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4227.9  4227.9  1175.6 5.455e-05 ***
## Residuals      3   10.8     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16232.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4212.2  4212.2  1173.9 5.466e-05 ***
## Residuals      3   10.8     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16202.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4196.5  4196.5  1172.2 5.478e-05 ***
## Residuals      3   10.7     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16171.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4180.9  4180.9  1170.5 5.49e-05 ***
## Residuals      3   10.7     3.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16141.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4165.2  4165.2  1168.8 5.502e-05 ***
## Residuals      3   10.7     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16111.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4149.6  4149.6    1167 5.514e-05 ***
## Residuals      3   10.7     3.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16081.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4134.1  4134.1  1165.3 5.527e-05 ***
## Residuals      3   10.6     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16050.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4118.5  4118.5  1163.5 5.54e-05 ***
## Residuals      3   10.6     3.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -16020.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4103.0  4103.0  1161.7 5.552e-05 ***
## Residuals      3   10.6     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15990.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4087.5  4087.5  1159.9 5.565e-05 ***
## Residuals      3   10.6     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15960.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4072.1  4072.1  1158.1 5.578e-05 ***
## Residuals      3   10.5     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15929.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4056.7  4056.7  1156.3 5.592e-05 ***
## Residuals      3   10.5     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15899.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4041.3  4041.3  1154.4 5.605e-05 ***
## Residuals      3   10.5     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15869.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4025.9  4025.9  1152.5 5.619e-05 ***
## Residuals      3   10.5     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15839.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4010.6  4010.6  1150.7 5.632e-05 ***
## Residuals      3   10.5     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15808.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3995.3  3995.3  1148.8 5.646e-05 ***
## Residuals      3   10.4     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15778.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3980.0  3980.0  1146.8 5.66e-05 ***
## Residuals      3   10.4     3.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15748.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3964.8  3964.8  1144.9 5.675e-05 ***
## Residuals      3   10.4     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15718.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3949.6  3949.6    1143 5.689e-05 ***
## Residuals      3   10.4     3.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15687.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3934.4  3934.4    1141 5.704e-05 ***
## Residuals      3   10.3     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15657.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3919.2  3919.2    1139 5.719e-05 ***
## Residuals      3   10.3     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15627.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3904.1  3904.1    1137 5.734e-05 ***
## Residuals      3   10.3     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15597.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3889.0  3889.0    1135 5.749e-05 ***
## Residuals      3   10.3     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15566.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3873.9  3873.9    1133 5.765e-05 ***
## Residuals      3   10.3     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15536.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3858.9  3858.9  1130.9 5.78e-05 ***
## Residuals      3   10.2     3.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15506.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3843.9  3843.9  1128.9 5.796e-05 ***
## Residuals      3   10.2     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15476.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3828.9  3828.9  1126.8 5.812e-05 ***
## Residuals      3   10.2     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15445.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3813.9  3813.9  1124.7 5.828e-05 ***
## Residuals      3   10.2     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15415.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3799.0  3799.0  1122.6 5.845e-05 ***
## Residuals      3   10.2     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15385.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3784.1  3784.1  1120.4 5.861e-05 ***
## Residuals      3   10.1     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15355.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3769.3  3769.3  1118.3 5.878e-05 ***
## Residuals      3   10.1     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15324.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3754.4  3754.4  1116.1 5.895e-05 ***
## Residuals      3   10.1     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15294.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3739.6  3739.6  1113.9 5.913e-05 ***
## Residuals      3   10.1     3.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15264.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3724.8  3724.8  1111.7 5.93e-05 ***
## Residuals      3   10.1     3.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15234.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3710.1  3710.1  1109.5 5.948e-05 ***
## Residuals      3   10.0     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15203.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3695.4  3695.4  1107.3 5.966e-05 ***
## Residuals      3   10.0     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15173.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3680.7  3680.7  1105.1 5.984e-05 ***
## Residuals      3   10.0     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15143.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1   3666  3666.0  1102.8 6.002e-05 ***
## Residuals      3     10     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15113.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3651.4  3651.4  1100.5 6.021e-05 ***
## Residuals      3   10.0     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15082.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3636.8  3636.8  1098.2 6.04e-05 ***
## Residuals      3    9.9     3.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15052.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3622.2  3622.2  1095.9 6.059e-05 ***
## Residuals      3    9.9     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -15022.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3607.7  3607.7  1093.6 6.078e-05 ***
## Residuals      3    9.9     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14992.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3593.2  3593.2  1091.2 6.098e-05 ***
## Residuals      3    9.9     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14961.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3578.7  3578.7  1088.9 6.118e-05 ***
## Residuals      3    9.9     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14931.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3564.2  3564.2  1086.5 6.138e-05 ***
## Residuals      3    9.8     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14901.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3549.8  3549.8  1084.1 6.158e-05 ***
## Residuals      3    9.8     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14871.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3535.4  3535.4  1081.7 6.178e-05 ***
## Residuals      3    9.8     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14840.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3521.0  3521.0  1079.3 6.199e-05 ***
## Residuals      3    9.8     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14810.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3506.7  3506.7  1076.8 6.22e-05 ***
## Residuals      3    9.8     3.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14780.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3492.4  3492.4  1074.4 6.242e-05 ***
## Residuals      3    9.8     3.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14750.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3478.1  3478.1  1071.9 6.263e-05 ***
## Residuals      3    9.7     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14719.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3463.9  3463.9  1069.4 6.285e-05 ***
## Residuals      3    9.7     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14689.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3449.6  3449.6  1066.9 6.307e-05 ***
## Residuals      3    9.7     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14659.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3435.5  3435.5  1064.3 6.33e-05 ***
## Residuals      3    9.7     3.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14629.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3421.3  3421.3  1061.8 6.352e-05 ***
## Residuals      3    9.7     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14598.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3407.2  3407.2  1059.2 6.375e-05 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14568.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3393.1  3393.1  1056.7 6.399e-05 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14538.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3379.0  3379.0  1054.1 6.422e-05 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14508.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3364.9  3364.9  1051.5 6.446e-05 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14477.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3350.9  3350.9  1048.9 6.47e-05 ***
## Residuals      3    9.6     3.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14447.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3336.9  3336.9  1046.2 6.494e-05 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14417.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3323.0  3323.0  1043.6 6.519e-05 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14387.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3309.1  3309.1  1040.9 6.544e-05 ***
## Residuals      3    9.5     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14357.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3295.2  3295.2  1038.2 6.57e-05 ***
## Residuals      3    9.5     3.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14326.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3281.3  3281.3  1035.5 6.595e-05 ***
## Residuals      3    9.5     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14296.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3267.4  3267.4  1032.8 6.621e-05 ***
## Residuals      3    9.5     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14266.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3253.6  3253.6  1030.1 6.648e-05 ***
## Residuals      3    9.5     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14236.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3239.9  3239.9  1027.3 6.674e-05 ***
## Residuals      3    9.5     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14205.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3226.1  3226.1  1024.5 6.701e-05 ***
## Residuals      3    9.4     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14175.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3212.4  3212.4  1021.8 6.728e-05 ***
## Residuals      3    9.4     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14145.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3198.7  3198.7    1019 6.756e-05 ***
## Residuals      3    9.4     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14115.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3185.0  3185.0  1016.2 6.784e-05 ***
## Residuals      3    9.4     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14084.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3171.4  3171.4  1013.3 6.812e-05 ***
## Residuals      3    9.4     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14054.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3157.77 3157.77  1010.5 6.841e-05 ***
## Residuals      3    9.37    3.12                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -14024.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3144.20 3144.20  1007.6 6.87e-05 ***
## Residuals      3    9.36    3.12                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13994.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 3130.65 3130.65  1004.8 6.9e-05 ***
## Residuals      3    9.35    3.12                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13963.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3117.13 3117.13  1001.9 6.929e-05 ***
## Residuals      3    9.33    3.11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13933.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3103.64 3103.64  998.98 6.959e-05 ***
## Residuals      3    9.32    3.11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13903.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 3090.18  3090.2  996.06 6.99e-05 ***
## Residuals      3    9.31     3.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13873.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3076.75  3076.8  993.13 7.021e-05 ***
## Residuals      3    9.29     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13842.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3063.35 3063.35  990.18 7.052e-05 ***
## Residuals      3    9.28    3.09                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13812.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3049.98 3049.98  987.22 7.084e-05 ***
## Residuals      3    9.27    3.09                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13782.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3036.63 3036.63  984.25 7.116e-05 ***
## Residuals      3    9.26    3.09                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13752.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3023.32 3023.32  981.26 7.148e-05 ***
## Residuals      3    9.24    3.08                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13721.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3010.04 3010.04  978.25 7.181e-05 ***
## Residuals      3    9.23    3.08                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13691.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2996.78 2996.78  975.23 7.215e-05 ***
## Residuals      3    9.22    3.07                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13661.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2983.55 2983.55   972.2 7.248e-05 ***
## Residuals      3    9.21    3.07                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13631.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2970.36 2970.36  969.15 7.282e-05 ***
## Residuals      3    9.19    3.06                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13600.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2957.19 2957.19  966.09 7.317e-05 ***
## Residuals      3    9.18    3.06                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13570.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2944.05 2944.05  963.02 7.352e-05 ***
## Residuals      3    9.17    3.06                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13540.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2930.94 2930.94  959.93 7.387e-05 ***
## Residuals      3    9.16    3.05                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13510.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2917.86 2917.86  956.82 7.423e-05 ***
## Residuals      3    9.15    3.05                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13479.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 2904.81 2904.81  953.71 7.46e-05 ***
## Residuals      3    9.14    3.05                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13449.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2891.79 2891.79  950.58 7.496e-05 ***
## Residuals      3    9.13    3.04                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13419.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2878.80 2878.80  947.43 7.534e-05 ***
## Residuals      3    9.12    3.04                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13389.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2865.8 2865.84  944.28 7.571e-05 ***
## Residuals      3    9.1    3.03                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13358.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2852.90 2852.90  941.11 7.609e-05 ***
## Residuals      3    9.09    3.03                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13328.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2840.00 2840.00  937.92 7.648e-05 ***
## Residuals      3    9.08    3.03                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13298.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2827.12 2827.12  934.73 7.687e-05 ***
## Residuals      3    9.07    3.02                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13268.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2814.28 2814.28  931.52 7.727e-05 ***
## Residuals      3    9.06    3.02                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13237.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2801.46 2801.46   928.3 7.767e-05 ***
## Residuals      3    9.05    3.02                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13207.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2788.67 2788.67  925.06 7.808e-05 ***
## Residuals      3    9.04    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13177.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2775.92 2775.92  921.82 7.849e-05 ***
## Residuals      3    9.03    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13147.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2763.19 2763.19  918.56 7.891e-05 ***
## Residuals      3    9.02    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13116.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2750.49 2750.49  915.28 7.933e-05 ***
## Residuals      3    9.02    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13086.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2737.82  2737.8     912 7.976e-05 ***
## Residuals      3    9.01     3.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13056.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2725.2  2725.2   908.7 8.019e-05 ***
## Residuals      3    9.0     3.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -13026.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2712.56  2712.6  905.39 8.063e-05 ***
## Residuals      3    8.99     3.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12995.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2699.98 2699.98  902.07 8.107e-05 ***
## Residuals      3    8.98    2.99                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12965.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2687.43 2687.43  898.74 8.152e-05 ***
## Residuals      3    8.97    2.99                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12935.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2674.90 2674.90   895.4 8.198e-05 ***
## Residuals      3    8.96    2.99                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12905.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2662.41 2662.41  892.05 8.244e-05 ***
## Residuals      3    8.95    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12874.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2649.94 2649.94  888.68 8.291e-05 ***
## Residuals      3    8.95    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12844.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2637.51 2637.51   885.3 8.338e-05 ***
## Residuals      3    8.94    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12814.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2625.10 2625.10  881.91 8.386e-05 ***
## Residuals      3    8.93    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12784.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2612.72 2612.72  878.52 8.435e-05 ***
## Residuals      3    8.92    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12753.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2600.38 2600.38  875.11 8.484e-05 ***
## Residuals      3    8.91    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12723.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2588.06 2588.06  871.69 8.534e-05 ***
## Residuals      3    8.91    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12693.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2575.8 2575.77  868.26 8.584e-05 ***
## Residuals      3    8.9    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12663.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2563.51 2563.51  864.81 8.635e-05 ***
## Residuals      3    8.89    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12632.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2551.27 2551.27  861.36 8.687e-05 ***
## Residuals      3    8.89    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12602.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 2539.07 2539.07   857.9 8.74e-05 ***
## Residuals      3    8.88    2.96                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12572.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2526.90 2526.90  854.43 8.793e-05 ***
## Residuals      3    8.87    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12542.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2514.75 2514.75  850.95 8.847e-05 ***
## Residuals      3    8.87    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12511.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2502.64 2502.64  847.46 8.901e-05 ***
## Residuals      3    8.86    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12481.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2490.55 2490.55  843.96 8.956e-05 ***
## Residuals      3    8.85    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12451.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2478.50 2478.50  840.45 9.012e-05 ***
## Residuals      3    8.85    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12421.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2466.47 2466.47  836.94 9.069e-05 ***
## Residuals      3    8.84    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12390.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2454.47 2454.47  833.41 9.127e-05 ***
## Residuals      3    8.84    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12360.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2442.51 2442.51  829.87 9.185e-05 ***
## Residuals      3    8.83    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12330.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2430.57 2430.57  826.33 9.244e-05 ***
## Residuals      3    8.82    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12300.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2418.66 2418.66  822.78 9.304e-05 ***
## Residuals      3    8.82    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12269.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2406.78 2406.78  819.22 9.364e-05 ***
## Residuals      3    8.81    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12239.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2394.93 2394.93  815.65 9.425e-05 ***
## Residuals      3    8.81    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12209.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2383.1 2383.10  812.07 9.488e-05 ***
## Residuals      3    8.8    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12179.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2371.3 2371.31  808.49 9.551e-05 ***
## Residuals      3    8.8    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12149
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2359.55 2359.55   804.9 9.614e-05 ***
## Residuals      3    8.79    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12118.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2347.81 2347.81   801.3 9.679e-05 ***
## Residuals      3    8.79    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12088.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2336.11 2336.11  797.69 9.745e-05 ***
## Residuals      3    8.79    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12058.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2324.43 2324.43  794.08 9.811e-05 ***
## Residuals      3    8.78    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -12028.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2312.79 2312.79  790.46 9.878e-05 ***
## Residuals      3    8.78    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11997.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2301.17 2301.17  786.83 9.946e-05 ***
## Residuals      3    8.77    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11967.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2289.58 2289.58   783.2 0.0001002 ***
## Residuals      3    8.77    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11937.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2278.02 2278.02  779.56 0.0001009 ***
## Residuals      3    8.77    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11907.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2266.49 2266.49  775.91 0.0001016 ***
## Residuals      3    8.76    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11876.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2254.99 2254.99  772.26 0.0001023 ***
## Residuals      3    8.76    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11846.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 2243.52 2243.52   768.6 0.000103 ***
## Residuals      3    8.76    2.92                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11816.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2232.08 2232.08  764.94 0.0001038 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11786.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2220.67 2220.67  761.27 0.0001045 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11755.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2209.28 2209.28   757.6 0.0001053 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11725.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 2197.93 2197.93  753.92 0.000106 ***
## Residuals      3    8.75    2.92                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11695.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2186.60 2186.60  750.24 0.0001068 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11665.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2175.31 2175.31  746.55 0.0001076 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11634.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2164.04 2164.04  742.85 0.0001084 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11604.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2152.81 2152.81  739.16 0.0001092 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11574.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 2141.60 2141.60  735.46 0.00011 ***
## Residuals      3    8.74    2.91                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11544.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2130.42 2130.42  731.75 0.0001109 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11513.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2119.27 2119.27  728.04 0.0001117 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11483.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2108.15 2108.15  724.33 0.0001126 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11453.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2097.06 2097.06  720.61 0.0001134 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11423.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2086.00 2086.00  716.89 0.0001143 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11392.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2074.97 2074.97  713.17 0.0001152 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11362.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2063.96 2063.96  709.45 0.0001161 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11332.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 2052.99 2052.99  705.72 0.000117 ***
## Residuals      3    8.73    2.91                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11302.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 2042.04 2042.04  701.99 0.000118 ***
## Residuals      3    8.73    2.91                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11271.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2031.13 2031.13  698.26 0.0001189 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11241.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2020.24 2020.24  694.52 0.0001199 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11211.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 2009.39 2009.39  690.78 0.0001208 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11181.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1998.56 1998.56  687.05 0.0001218 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11150.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1987.76 1987.76  683.31 0.0001228 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11120.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1976.99 1976.99  679.57 0.0001238 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11090.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1966.25 1966.25  675.82 0.0001249 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11060.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1955.54 1955.54  672.08 0.0001259 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -11029.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1944.86 1944.86  668.34 0.000127 ***
## Residuals      3    8.73    2.91                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10999.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1934.21 1934.21  664.59 0.000128 ***
## Residuals      3    8.73    2.91                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10969.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1923.59 1923.59  660.85 0.0001291 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10939.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1912.99 1912.99  657.11 0.0001302 ***
## Residuals      3    8.73    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10908.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1902.43 1902.43  653.36 0.0001313 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10878.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1891.89 1891.89  649.62 0.0001325 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10848.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1881.39 1881.39  645.87 0.0001336 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10818.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1870.91 1870.91  642.13 0.0001348 ***
## Residuals      3    8.74    2.91                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10787.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1860.46 1860.46  638.39 0.000136 ***
## Residuals      3    8.74    2.91                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10757.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1850.05 1850.05  634.65 0.0001372 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10727.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1839.66 1839.66  630.91 0.0001384 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10697.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1829.30 1829.30  627.17 0.0001396 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10666.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1818.97 1818.97  623.43 0.0001409 ***
## Residuals      3    8.75    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10636.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1808.67 1808.67   619.7 0.0001421 ***
## Residuals      3    8.76    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10606.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1798.39 1798.39  615.96 0.0001434 ***
## Residuals      3    8.76    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10576.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1788.15 1788.15  612.23 0.0001447 ***
## Residuals      3    8.76    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10545.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1777.94 1777.94   608.5 0.0001461 ***
## Residuals      3    8.77    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10515.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1767.76 1767.76  604.78 0.0001474 ***
## Residuals      3    8.77    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10485.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1757.60 1757.60  601.05 0.0001488 ***
## Residuals      3    8.77    2.92                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10455.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1747.47 1747.47  597.33 0.0001502 ***
## Residuals      3    8.78    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10424.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1737.38 1737.38  593.62 0.0001516 ***
## Residuals      3    8.78    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10394.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1727.31 1727.31   589.9 0.000153 ***
## Residuals      3    8.78    2.93                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10364.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1717.27 1717.27  586.19 0.0001544 ***
## Residuals      3    8.79    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10334.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1707.27 1707.27  582.48 0.0001559 ***
## Residuals      3    8.79    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10303.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1697.3 1697.29  578.78 0.0001574 ***
## Residuals      3    8.8    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10273.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1687.3 1687.34  575.08 0.0001589 ***
## Residuals      3    8.8    2.93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10243.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1677.42 1677.42  571.39 0.0001605 ***
## Residuals      3    8.81    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10213.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1667.52 1667.52   567.7 0.000162 ***
## Residuals      3    8.81    2.94                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10182.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1657.66 1657.66  564.01 0.0001636 ***
## Residuals      3    8.82    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10152.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1647.83 1647.83  560.33 0.0001652 ***
## Residuals      3    8.82    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10122.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1638.03 1638.03  556.65 0.0001668 ***
## Residuals      3    8.83    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10092.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1628.25 1628.25  552.98 0.0001685 ***
## Residuals      3    8.83    2.94                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10061.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1618.51 1618.51  549.32 0.0001702 ***
## Residuals      3    8.84    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10031.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1608.79 1608.79  545.66 0.0001719 ***
## Residuals      3    8.85    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -10001.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1599.10 1599.10     542 0.0001736 ***
## Residuals      3    8.85    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9971.232
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1589.45 1589.45  538.35 0.0001754 ***
## Residuals      3    8.86    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9940.986
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1579.82 1579.82  534.71 0.0001772 ***
## Residuals      3    8.86    2.95                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9910.739
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1570.22 1570.22  531.07 0.000179 ***
## Residuals      3    8.87    2.96                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9880.492
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1560.65 1560.65  527.44 0.0001808 ***
## Residuals      3    8.88    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9850.246
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1551.11 1551.11  523.82 0.0001827 ***
## Residuals      3    8.88    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9819.999
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1541.60 1541.60   520.2 0.0001846 ***
## Residuals      3    8.89    2.96                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9789.752
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1532.1 1532.11  516.59 0.0001865 ***
## Residuals      3    8.9    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9759.505
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1522.7 1522.66  512.99 0.0001885 ***
## Residuals      3    8.9    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9729.259
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1513.24 1513.24  509.39 0.0001905 ***
## Residuals      3    8.91    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9699.012
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1503.84 1503.84   505.8 0.0001925 ***
## Residuals      3    8.92    2.97                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9668.765
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1494.48 1494.48  502.22 0.0001945 ***
## Residuals      3    8.93    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9638.519
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1485.14 1485.14  498.64 0.0001966 ***
## Residuals      3    8.94    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9608.272
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1475.84 1475.84  495.08 0.0001988 ***
## Residuals      3    8.94    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9578.025
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1466.56 1466.56  491.52 0.0002009 ***
## Residuals      3    8.95    2.98                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9547.778
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1457.31 1457.31  487.97 0.0002031 ***
## Residuals      3    8.96    2.99                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9517.532
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1448.09 1448.09  484.43 0.0002053 ***
## Residuals      3    8.97    2.99                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9487.285
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1438.90 1438.90  480.89 0.0002076 ***
## Residuals      3    8.98    2.99                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9457.038
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1429.74  1429.7  477.37 0.0002099 ***
## Residuals      3    8.99     3.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9426.792
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1420.61  1420.6  473.85 0.0002122 ***
## Residuals      3    8.99     3.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9396.545
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1411.5  1411.5  470.34 0.0002146 ***
## Residuals      3    9.0     3.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9366.298
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1402.44  1402.4  466.85 0.000217 ***
## Residuals      3    9.01     3.0                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9336.051
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1393.40 1393.40  463.36 0.0002194 ***
## Residuals      3    9.02    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9305.805
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1384.38 1384.38  459.88 0.0002219 ***
## Residuals      3    9.03    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9275.558
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1375.40 1375.40  456.41 0.0002244 ***
## Residuals      3    9.04    3.01                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9245.311
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1366.44 1366.44  452.95 0.000227 ***
## Residuals      3    9.05    3.02                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9215.065
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1357.52 1357.52  449.49 0.0002296 ***
## Residuals      3    9.06    3.02                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9184.818
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1348.62 1348.62  446.05 0.0002322 ***
## Residuals      3    9.07    3.02                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9154.571
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1339.75 1339.75  442.62 0.0002349 ***
## Residuals      3    9.08    3.03                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9124.324
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1330.91 1330.91   439.2 0.0002376 ***
## Residuals      3    9.09    3.03                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9094.078
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1322.1 1322.10  435.79 0.0002404 ***
## Residuals      3    9.1    3.03                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9063.831
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1313.32 1313.32  432.39 0.0002433 ***
## Residuals      3    9.11    3.04                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9033.584
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1304.57 1304.57     429 0.0002461 ***
## Residuals      3    9.12    3.04                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -9003.338
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1295.85 1295.85  425.62 0.000249 ***
## Residuals      3    9.13    3.04                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8973.091
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1287.16 1287.16  422.25 0.000252 ***
## Residuals      3    9.14    3.05                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8942.844
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1278.50 1278.50  418.89 0.000255 ***
## Residuals      3    9.16    3.05                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8912.597
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1269.86 1269.86  415.55 0.0002581 ***
## Residuals      3    9.17    3.06                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8882.351
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1261.26 1261.26  412.21 0.0002612 ***
## Residuals      3    9.18    3.06                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8852.104
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1252.68 1252.68  408.89 0.0002644 ***
## Residuals      3    9.19    3.06                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8821.857
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1244.1 1244.14  405.58 0.0002676 ***
## Residuals      3    9.2    3.07                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8791.611
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1235.62 1235.62  402.27 0.0002709 ***
## Residuals      3    9.21    3.07                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8761.364
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1227.13 1227.13  398.98 0.0002742 ***
## Residuals      3    9.23    3.08                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8731.117
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1218.67 1218.67  395.71 0.0002776 ***
## Residuals      3    9.24    3.08                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8700.871
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1210.25 1210.25  392.44 0.0002811 ***
## Residuals      3    9.25    3.08                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8670.624
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1201.85 1201.85  389.19 0.0002846 ***
## Residuals      3    9.26    3.09                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8640.377
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1193.48 1193.48  385.95 0.0002882 ***
## Residuals      3    9.28    3.09                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8610.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1185.13  1185.1  382.72 0.0002918 ***
## Residuals      3    9.29     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8579.884
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1176.8  1176.8   379.5 0.0002955 ***
## Residuals      3    9.3     3.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8549.637
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1168.54 1168.54  376.29 0.0002993 ***
## Residuals      3    9.32    3.11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8519.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1160.29 1160.29   373.1 0.0003031 ***
## Residuals      3    9.33    3.11                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8489.144
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1152.06 1152.06  369.92 0.000307 ***
## Residuals      3    9.34    3.11                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8458.897
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1143.87 1143.87  366.75 0.0003109 ***
## Residuals      3    9.36    3.12                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8428.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 1135.70 1135.70   363.6 0.000315 ***
## Residuals      3    9.37    3.12                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8398.403
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1127.56 1127.56  360.46 0.0003191 ***
## Residuals      3    9.38    3.13                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8368.157
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1119.5 1119.46  357.33 0.0003232 ***
## Residuals      3    9.4    3.13                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8337.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1111.38 1111.38  354.21 0.0003275 ***
## Residuals      3    9.41    3.14                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8307.663
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1103.33 1103.33  351.11 0.0003318 ***
## Residuals      3    9.43    3.14                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8277.417
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1095.31 1095.31  348.02 0.0003362 ***
## Residuals      3    9.44    3.15                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8247.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1087.32 1087.32  344.95 0.0003407 ***
## Residuals      3    9.46    3.15                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8216.923
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1079.36 1079.36  341.88 0.0003452 ***
## Residuals      3    9.47    3.16                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8186.676
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1071.43 1071.43  338.84 0.0003499 ***
## Residuals      3    9.49    3.16                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8156.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1063.5 1063.53   335.8 0.0003546 ***
## Residuals      3    9.5    3.17                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8126.183
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1055.65 1055.65  332.78 0.0003594 ***
## Residuals      3    9.52    3.17                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8095.936
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1047.81 1047.81  329.77 0.0003643 ***
## Residuals      3    9.53    3.18                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8065.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1039.99 1039.99  326.78 0.0003693 ***
## Residuals      3    9.55    3.18                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8035.443
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1032.21 1032.21   323.8 0.0003743 ***
## Residuals      3    9.56    3.19                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -8005.196
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1024.45 1024.45  320.83 0.0003795 ***
## Residuals      3    9.58    3.19                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7974.949
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1016.7  1016.7  317.88 0.0003848 ***
## Residuals      3    9.6     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7944.703
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1009.03  1009.0  314.94 0.0003901 ***
## Residuals      3    9.61     3.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7914.456
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 1001.36 1001.36  312.02 0.0003956 ***
## Residuals      3    9.63    3.21                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7884.209
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 993.72  993.72  309.11 0.0004011 ***
## Residuals      3   9.64    3.21                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7853.963
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 986.11  986.11  306.21 0.0004068 ***
## Residuals      3   9.66    3.22                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7823.716
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 978.53  978.53  303.33 0.0004125 ***
## Residuals      3   9.68    3.23                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7793.469
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 970.98  970.98  300.46 0.0004184 ***
## Residuals      3   9.69    3.23                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7763.222
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 963.46  963.46  297.61 0.0004244 ***
## Residuals      3   9.71    3.24                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7732.976
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 955.96  955.96  294.77 0.0004305 ***
## Residuals      3   9.73    3.24                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7702.729
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 948.50  948.50  291.95 0.0004367 ***
## Residuals      3   9.75    3.25                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7672.482
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 941.07  941.07  289.14 0.000443 ***
## Residuals      3   9.76    3.25                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7642.236
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 933.66  933.66  286.35 0.0004495 ***
## Residuals      3   9.78    3.26                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7611.989
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 926.28  926.28  283.57 0.000456 ***
## Residuals      3   9.80    3.27                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7581.742
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 918.94  918.94  280.81 0.0004627 ***
## Residuals      3   9.82    3.27                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7551.495
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 911.62  911.62  278.06 0.0004695 ***
## Residuals      3   9.84    3.28                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7521.249
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 904.33  904.33  275.32 0.0004765 ***
## Residuals      3   9.85    3.28                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7491.002
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 897.07  897.07   272.6 0.0004836 ***
## Residuals      3   9.87    3.29                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7460.755
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 889.84  889.84   269.9 0.0004908 ***
## Residuals      3   9.89    3.30                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7430.509
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 882.64  882.64  267.21 0.0004982 ***
## Residuals      3   9.91    3.30                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7400.262
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 875.47  875.47  264.53 0.0005057 ***
## Residuals      3   9.93    3.31                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7370.015
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 868.33  868.33  261.87 0.0005133 ***
## Residuals      3   9.95    3.32                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7339.769
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 861.22  861.22  259.23 0.0005211 ***
## Residuals      3   9.97    3.32                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7309.522
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 854.13  854.13   256.6 0.0005291 ***
## Residuals      3   9.99    3.33                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7279.275
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 847.08  847.08  253.98 0.0005372 ***
## Residuals      3  10.01    3.34                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7249.028
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 840.05  840.05  251.38 0.0005455 ***
## Residuals      3  10.03    3.34                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7218.782
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 833.06  833.06   248.8 0.0005539 ***
## Residuals      3  10.04    3.35                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7188.535
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 826.09  826.09  246.23 0.0005625 ***
## Residuals      3  10.06    3.35                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7158.288
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 819.16  819.16  243.68 0.0005713 ***
## Residuals      3  10.08    3.36                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7128.042
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 812.25  812.25  241.14 0.0005803 ***
## Residuals      3  10.11    3.37                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7097.795
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 805.37  805.37  238.61 0.0005894 ***
## Residuals      3  10.13    3.38                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7067.548
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 798.52  798.52  236.11 0.0005987 ***
## Residuals      3  10.15    3.38                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7037.301
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 791.70  791.70  233.61 0.0006082 ***
## Residuals      3  10.17    3.39                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -7007.055
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 784.91  784.91  231.14 0.0006179 ***
## Residuals      3  10.19    3.40                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6976.808
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 778.15  778.15  228.68 0.0006278 ***
## Residuals      3  10.21    3.40                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6946.561
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 771.41  771.41  226.23 0.0006379 ***
## Residuals      3  10.23    3.41                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6916.315
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 764.71  764.71   223.8 0.0006483 ***
## Residuals      3  10.25    3.42                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6886.068
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 758.04  758.04  221.38 0.0006588 ***
## Residuals      3  10.27    3.42                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6855.821
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 751.39  751.39  218.98 0.0006695 ***
## Residuals      3  10.29    3.43                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6825.574
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 744.78  744.78   216.6 0.0006805 ***
## Residuals      3  10.32    3.44                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6795.328
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 738.19  738.19  214.23 0.0006917 ***
## Residuals      3  10.34    3.45                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6765.081
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 731.63  731.63  211.87 0.0007031 ***
## Residuals      3  10.36    3.45                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6734.834
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 725.11  725.11  209.53 0.0007148 ***
## Residuals      3  10.38    3.46                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6704.588
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 718.61  718.61  207.21 0.0007267 ***
## Residuals      3  10.40    3.47                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6674.341
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 712.14  712.14   204.9 0.0007389 ***
## Residuals      3  10.43    3.48                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6644.094
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 705.70  705.70  202.61 0.0007513 ***
## Residuals      3  10.45    3.48                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6613.847
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 699.29  699.29  200.33 0.000764 ***
## Residuals      3  10.47    3.49                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6583.601
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 692.91  692.91  198.07 0.000777 ***
## Residuals      3  10.49    3.50                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6553.354
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 686.55  686.55  195.83 0.0007902 ***
## Residuals      3  10.52    3.51                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6523.107
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 680.23  680.23   193.6 0.0008037 ***
## Residuals      3  10.54    3.51                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6492.861
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 673.94  673.94  191.38 0.0008176 ***
## Residuals      3  10.56    3.52                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6462.614
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 667.67  667.67  189.18 0.0008317 ***
## Residuals      3  10.59    3.53                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6432.367
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 661.44  661.44     187 0.0008461 ***
## Residuals      3  10.61    3.54                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6402.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 655.23  655.23  184.83 0.0008609 ***
## Residuals      3  10.64    3.55                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6371.874
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 649.06  649.06  182.67 0.0008759 ***
## Residuals      3  10.66    3.55                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6341.627
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 642.91  642.91  180.53 0.0008913 ***
## Residuals      3  10.68    3.56                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6311.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 636.79  636.79  178.41 0.0009071 ***
## Residuals      3  10.71    3.57                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6281.134
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 630.70  630.70   176.3 0.0009232 ***
## Residuals      3  10.73    3.58                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6250.887
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 624.64  624.64  174.21 0.0009396 ***
## Residuals      3  10.76    3.59                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6220.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 618.61  618.61  172.13 0.0009565 ***
## Residuals      3  10.78    3.59                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6190.393
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 612.61  612.61  170.07 0.0009737 ***
## Residuals      3  10.81    3.60                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6160.147
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 606.64  606.64  168.02 0.0009913 ***
## Residuals      3  10.83    3.61                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6129.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 600.70  600.70  165.99 0.001009 **
## Residuals      3  10.86    3.62                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6099.653
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 594.78  594.78  163.98 0.001028 **
## Residuals      3  10.88    3.63                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6069.407
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 588.90  588.90  161.98 0.001046 **
## Residuals      3  10.91    3.64                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6039.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 583.04  583.04  159.99 0.001066 **
## Residuals      3  10.93    3.64                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -6008.913
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 577.22  577.22  158.02 0.001085 **
## Residuals      3  10.96    3.65                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5978.666
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 571.42  571.42  156.06 0.001106 **
## Residuals      3  10.98    3.66                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5948.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 565.65  565.65  154.12 0.001126 **
## Residuals      3  11.01    3.67                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5918.173
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 559.92  559.92   152.2 0.001147 **
## Residuals      3  11.04    3.68                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5887.926
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 554.21  554.21  150.29 0.001169 **
## Residuals      3  11.06    3.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5857.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 548.53  548.53  148.39 0.001191 **
## Residuals      3  11.09    3.70                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5827.433
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 542.88  542.88  146.51 0.001214 **
## Residuals      3  11.12    3.71                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5797.186
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 537.26  537.26  144.64 0.001237 **
## Residuals      3  11.14    3.71                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5766.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 531.67  531.67  142.79 0.001261 **
## Residuals      3  11.17    3.72                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5736.693
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1  526.1  526.10  140.96 0.001285 **
## Residuals      3   11.2    3.73                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5706.446
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 520.57  520.57  139.14 0.00131 **
## Residuals      3  11.22    3.74                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5676.199
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 515.07  515.07  137.33 0.001335 **
## Residuals      3  11.25    3.75                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5645.953
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 509.59  509.59  135.54 0.001361 **
## Residuals      3  11.28    3.76                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5615.706
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 504.15  504.15  133.76 0.001388 **
## Residuals      3  11.31    3.77                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5585.459
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 498.73  498.73     132 0.001415 **
## Residuals      3  11.33    3.78                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5555.213
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 493.34  493.34  130.25 0.001443 **
## Residuals      3  11.36    3.79                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5524.966
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 487.99  487.99  128.52 0.001472 **
## Residuals      3  11.39    3.80                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5494.719
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 482.66  482.66   126.8 0.001502 **
## Residuals      3  11.42    3.81                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5464.472
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 477.36  477.36   125.1 0.001532 **
## Residuals      3  11.45    3.82                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5434.226
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 472.09  472.09  123.41 0.001563 **
## Residuals      3  11.48    3.83                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5403.979
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 466.85  466.85  121.73 0.001595 **
## Residuals      3  11.50    3.83                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5373.732
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 461.64  461.64  120.07 0.001627 **
## Residuals      3  11.53    3.84                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5343.486
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 456.45  456.45  118.43 0.001661 **
## Residuals      3  11.56    3.85                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5313.239
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 451.30  451.30   116.8 0.001695 **
## Residuals      3  11.59    3.86                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5282.992
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 446.18  446.18  115.18 0.00173 **
## Residuals      3  11.62    3.87                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5252.745
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 441.08  441.08  113.57 0.001766 **
## Residuals      3  11.65    3.88                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5222.499
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 436.02  436.02  111.99 0.001803 **
## Residuals      3  11.68    3.89                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5192.252
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 430.98  430.98  110.41 0.001841 **
## Residuals      3  11.71    3.90                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5162.005
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 425.98  425.98  108.85 0.00188 **
## Residuals      3  11.74    3.91                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5131.759
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 421.00  421.00   107.3 0.001919 **
## Residuals      3  11.77    3.92                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5101.512
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 416.05  416.05  105.77 0.00196 **
## Residuals      3  11.80    3.93                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5071.265
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 411.13  411.13  104.25 0.002002 **
## Residuals      3  11.83    3.94                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5041.018
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 406.24  406.24  102.75 0.002046 **
## Residuals      3  11.86    3.95                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -5010.772
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 401.38  401.38  101.25 0.00209 **
## Residuals      3  11.89    3.96                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4980.525
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 396.55  396.55  99.777 0.002135 **
## Residuals      3  11.92    3.97                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4950.278
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 391.75  391.75  98.314 0.002182 **
## Residuals      3  11.95    3.98                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4920.032
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 386.98  386.98  96.864 0.00223 **
## Residuals      3  11.99    4.00                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4889.785
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 382.23  382.23  95.427 0.002279 **
## Residuals      3  12.02    4.01                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4859.538
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 377.52  377.52  94.004 0.00233 **
## Residuals      3  12.05    4.02                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4829.291
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 372.83  372.83  92.595 0.002382 **
## Residuals      3  12.08    4.03                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4799.045
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 368.18  368.18  91.199 0.002436 **
## Residuals      3  12.11    4.04                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4768.798
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 363.55  363.55  89.817 0.002491 **
## Residuals      3  12.14    4.05                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4738.551
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 358.95  358.95  88.448 0.002547 **
## Residuals      3  12.18    4.06                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4708.305
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 354.39  354.39  87.092 0.002605 **
## Residuals      3  12.21    4.07                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4678.058
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 349.85  349.85   85.75 0.002665 **
## Residuals      3  12.24    4.08                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4647.811
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 345.34  345.34   84.42 0.002726 **
## Residuals      3  12.27    4.09                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4617.564
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 340.86  340.86  83.104 0.00279 **
## Residuals      3  12.30    4.10                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4587.318
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 336.41  336.41  81.801 0.002855 **
## Residuals      3  12.34    4.11                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4557.071
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 331.99  331.99  80.511 0.002921 **
## Residuals      3  12.37    4.12                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4526.824
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 327.59  327.59  79.234 0.00299 **
## Residuals      3  12.40    4.13                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4496.578
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 323.23  323.23   77.97 0.003061 **
## Residuals      3  12.44    4.15                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4466.331
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 318.90  318.90  76.719 0.003134 **
## Residuals      3  12.47    4.16                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4436.084
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 314.592 314.592   75.48 0.003209 **
## Residuals      3  12.504   4.168                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4405.838
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 310.317 310.317  74.254 0.003286 **
## Residuals      3  12.537   4.179                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4375.591
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 306.070  306.07  73.041 0.003366 **
## Residuals      3  12.571    4.19                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4345.344
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 301.854 301.854  71.841 0.003448 **
## Residuals      3  12.605   4.202                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4315.097
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 297.666 297.666  70.653 0.003532 **
## Residuals      3  12.639   4.213                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4284.851
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 293.508 293.508  69.478 0.003619 **
## Residuals      3  12.673   4.224                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4254.604
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 289.378 289.378  68.315 0.003709 **
## Residuals      3  12.708   4.236                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4224.357
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 285.279 285.279  67.164 0.003802 **
## Residuals      3  12.742   4.247                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4194.111
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 281.208 281.208  66.026 0.003897 **
## Residuals      3  12.777   4.259                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4163.864
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 277.167 277.167    64.9 0.003995 **
## Residuals      3  12.812   4.271                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4133.617
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 273.155 273.155  63.786 0.004096 **
## Residuals      3  12.847   4.282                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4103.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 269.172 269.172  62.684 0.004201 **
## Residuals      3  12.882   4.294                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4073.124
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 265.218 265.218  61.595 0.004309 **
## Residuals      3  12.918   4.306                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4042.877
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 261.294 261.294  60.517 0.00442 **
## Residuals      3  12.953   4.318                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -4012.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 257.399  257.40  59.452 0.004535 **
## Residuals      3  12.989    4.33                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3982.384
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 253.533 253.533  58.398 0.004653 **
## Residuals      3  13.024   4.341                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3952.137
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 249.70 249.696  57.356 0.004775 **
## Residuals      3  13.06   4.353                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3921.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 245.889 245.889  56.326 0.004901 **
## Residuals      3  13.096   4.365                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3891.643
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 242.111 242.111  55.308 0.005032 **
## Residuals      3  13.133   4.378                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3861.397
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 238.362  238.36  54.301 0.005166 **
## Residuals      3  13.169    4.39                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3831.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 234.642 234.642  53.306 0.005306 **
## Residuals      3  13.205   4.402                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3800.903
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 230.952 230.952  52.322 0.005449 **
## Residuals      3  13.242   4.414                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3770.657
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 227.291 227.291   51.35 0.005598 **
## Residuals      3  13.279   4.426                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3740.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 223.659 223.659  50.389 0.005751 **
## Residuals      3  13.316   4.439                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3710.163
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 220.056 220.056   49.44 0.00591 **
## Residuals      3  13.353   4.451                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3679.916
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 216.48 216.483  48.502 0.006074 **
## Residuals      3  13.39   4.463                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3649.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 212.939 212.939  47.575 0.006244 **
## Residuals      3  13.428   4.476                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3619.423
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 209.424 209.424  46.659 0.00642 **
## Residuals      3  13.465   4.488                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3589.176
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 205.938 205.938  45.754 0.006602 **
## Residuals      3  13.503   4.501                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3558.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 202.482 202.482   44.86 0.00679 **
## Residuals      3  13.541   4.514                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3528.683
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 199.055 199.055  43.978 0.006985 **
## Residuals      3  13.579   4.526                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3498.436
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 195.657 195.657  43.106 0.007187 **
## Residuals      3  13.617   4.539                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3468.189
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 192.289 192.289  42.245 0.007396 **
## Residuals      3  13.655   4.552                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3437.943
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 188.949 188.949  41.395 0.007612 **
## Residuals      3  13.694   4.565                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3407.696
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 185.639 185.639  40.555 0.007837 **
## Residuals      3  13.732   4.577                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3377.449
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 182.358  182.36  39.726 0.008069 **
## Residuals      3  13.771    4.59                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3347.203
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 179.11 179.107  38.908 0.00831 **
## Residuals      3  13.81   4.603                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3316.956
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 175.884 175.884    38.1 0.00856 **
## Residuals      3  13.849   4.616                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3286.709
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 172.691 172.691  37.303 0.00882 **
## Residuals      3  13.888   4.629                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3256.462
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 169.527 169.527  36.516 0.009089 **
## Residuals      3  13.928   4.643                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3226.216
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 166.393 166.393   35.74 0.009368 **
## Residuals      3  13.967   4.656                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3195.969
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 163.288 163.288  34.973 0.009658 **
## Residuals      3  14.007   4.669                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3165.722
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 160.211 160.211  34.217 0.009959 **
## Residuals      3  14.047   4.682                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3135.476
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 157.165 157.165  33.471 0.01027 *
## Residuals      3  14.087   4.696                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3105.229
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 154.147 154.147  32.736 0.0106 *
## Residuals      3  14.127   4.709                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3074.982
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 151.159 151.159   32.01 0.01093 *
## Residuals      3  14.167   4.722                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3044.735
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 148.200 148.200  31.294 0.01128 *
## Residuals      3  14.207   4.736                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -3014.489
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 145.270 145.270  30.588 0.01165 *
## Residuals      3  14.248   4.749                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2984.242
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 142.369 142.369  29.892 0.01203 *
## Residuals      3  14.288   4.763                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2953.995
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 139.498 139.498  29.205 0.01242 *
## Residuals      3  14.329   4.776                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2923.749
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 136.66  136.66  28.529 0.01283 *
## Residuals      3  14.37    4.79                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2893.502
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 133.843 133.843  27.862 0.01326 *
## Residuals      3  14.411   4.804                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2863.255
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 131.059 131.059  27.204 0.0137 *
## Residuals      3  14.453   4.818                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2833.009
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 128.305 128.305  26.556 0.01417 *
## Residuals      3  14.494   4.831                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2802.762
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 125.580 125.580  25.918 0.01465 *
## Residuals      3  14.536   4.845                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2772.515
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 122.884 122.884  25.289 0.01515 *
## Residuals      3  14.578   4.859                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2742.268
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 120.218 120.218  24.669 0.01568 *
## Residuals      3  14.619   4.873                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2712.022
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 117.580 117.580  24.059 0.01622 *
## Residuals      3  14.661   4.887                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2681.775
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 114.972 114.972  23.458 0.01679 *
## Residuals      3  14.704   4.901                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2651.528
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 112.393 112.393  22.866 0.01739 *
## Residuals      3  14.746   4.915                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2621.282
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 109.844  109.84  22.283 0.01801 *
## Residuals      3  14.789    4.93                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2591.035
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 107.323 107.323  21.709 0.01866 *
## Residuals      3  14.831   4.944                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2560.788
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 104.832 104.832  21.144 0.01933 *
## Residuals      3  14.874   4.958                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2530.541
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 102.371 102.371  20.588 0.02004 *
## Residuals      3  14.917   4.972                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2500.295
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 99.938  99.938  20.041 0.02078 *
## Residuals      3 14.960   4.987                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2470.048
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 97.535  97.535  19.503 0.02155 *
## Residuals      3 15.003   5.001                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2439.801
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 95.161  95.161  18.973 0.02236 *
## Residuals      3 15.047   5.016                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2409.555
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 92.816  92.816  18.452 0.0232 *
## Residuals      3 15.090   5.030                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2379.308
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 90.500  90.500   17.94 0.02409 *
## Residuals      3 15.134   5.045                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2349.061
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 88.214  88.214  17.436 0.02501 *
## Residuals      3 15.178   5.059                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2318.814
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 85.957  85.957  16.941 0.02598 *
## Residuals      3 15.222   5.074                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2288.568
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 83.729  83.729  16.454  0.027 *
## Residuals      3 15.266   5.089                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2258.321
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1  81.53  81.530  15.976 0.02806 *
## Residuals      3  15.31   5.103                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2228.074
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 79.361  79.361  15.506 0.02918 *
## Residuals      3 15.354   5.118                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2197.828
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 77.221  77.221  15.044 0.03035 *
## Residuals      3 15.399   5.133                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2167.581
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 75.110  75.110   14.59 0.03158 *
## Residuals      3 15.444   5.148                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2137.334
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 73.029  73.029  14.145 0.03287 *
## Residuals      3 15.489   5.163                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2107.087
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 70.976  70.976  13.707 0.03422 *
## Residuals      3 15.534   5.178                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2076.841
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 68.953  68.953  13.278 0.03564 *
## Residuals      3 15.579   5.193                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2046.594
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 66.959  66.959  12.857 0.03714 *
## Residuals      3 15.624   5.208                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -2016.347
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 64.995  64.995  12.443 0.03871 *
## Residuals      3 15.670   5.223                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1986.101
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 63.059  63.059  12.038 0.04036 *
## Residuals      3 15.715   5.238                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1955.854
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 61.153  61.153   11.64 0.0421 *
## Residuals      3 15.761   5.254                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1925.607
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 59.277  59.277   11.25 0.04392 *
## Residuals      3 15.807   5.269                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1895.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 57.429  57.429  10.868 0.04585 *
## Residuals      3 15.853   5.284                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1865.114
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 55.611  55.611  10.493 0.04788 *
## Residuals      3 15.899   5.300                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1834.867
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 53.822  53.822  10.126 0.05001 .
## Residuals      3 15.946   5.315                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1804.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 52.062  52.062  9.7663 0.05226 .
## Residuals      3 15.992   5.331                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1774.374
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 50.331  50.331  9.4142 0.05464 .
## Residuals      3 16.039   5.346                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1744.127
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.630  48.630  9.0695 0.05714 .
## Residuals      3 16.086   5.362                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1713.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 46.958  46.958  8.7322 0.05978 .
## Residuals      3 16.133   5.378                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1683.633
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 45.315  45.315  8.4022 0.06257 .
## Residuals      3 16.180   5.393                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1653.387
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.702  43.702  8.0794 0.06552 .
## Residuals      3 16.227   5.409                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1623.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 42.117  42.117  7.7638 0.06863 .
## Residuals      3 16.275   5.425                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1592.893
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 40.562  40.562  7.4553 0.07191 .
## Residuals      3 16.322   5.441                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1562.647
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 39.036  39.036   7.154 0.07539 .
## Residuals      3 16.370   5.457                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1532.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 37.540  37.540  6.8596 0.07906 .
## Residuals      3 16.418   5.473                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1502.153
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 36.073  36.073  6.5723 0.08295 .
## Residuals      3 16.466   5.489                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1471.907
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 34.634  34.634  6.2919 0.08706 .
## Residuals      3 16.514   5.505                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1441.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 33.226  33.226  6.0183 0.09142 .
## Residuals      3 16.562   5.521                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1411.413
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 31.846  31.846  5.7516 0.09603 .
## Residuals      3 16.611   5.537                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1381.166
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 30.496 30.4958  5.4917 0.1009
## Residuals      3 16.659  5.5531               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1350.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 29.175 29.1747  5.2385 0.1061
## Residuals      3 16.708  5.5693               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1320.673
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 27.883 27.8829  4.9919 0.1116
## Residuals      3 16.757  5.5856               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1290.426
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 26.620  26.620  4.7519 0.1174
## Residuals      3 16.806   5.602               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1260.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 25.387 25.3871  4.5186 0.1235
## Residuals      3 16.855  5.6184               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1229.933
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 24.183 24.1830  4.2917   0.13
## Residuals      3 16.905  5.6349               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1199.686
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 23.008 23.0082  4.0713  0.137
## Residuals      3 16.954  5.6514               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1169.439
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 21.863 21.8627  3.8573 0.1443
## Residuals      3 17.004  5.6679               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1139.193
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 20.746 20.7464  3.6496 0.1521
## Residuals      3 17.054  5.6845               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1108.946
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 19.659 19.6593  3.4483 0.1603
## Residuals      3 17.104  5.7012               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1078.699
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 18.602 18.6015  3.2532 0.1691
## Residuals      3 17.154  5.7179               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1048.453
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 17.573 17.5730  3.0644 0.1783
## Residuals      3 17.204  5.7346               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -1018.206
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 16.574 16.5737  2.8817 0.1882
## Residuals      3 17.254  5.7514               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -987.9591
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 15.604 15.6036  2.7051 0.1986
## Residuals      3 17.305  5.7683               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -957.7124
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 14.663 14.6628  2.5345 0.2096
## Residuals      3 17.356  5.7852               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -927.4657
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 13.751 13.7513    2.37 0.2213
## Residuals      3 17.406  5.8021               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -897.219
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 12.869 12.8690  2.2115 0.2337
## Residuals      3 17.457  5.8192               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -866.9723
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 12.016 12.0160  2.0589 0.2468
## Residuals      3 17.509  5.8362               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -836.7256
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 11.192 11.1922  1.9121 0.2607
## Residuals      3 17.560  5.8533               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -806.4789
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 10.398 10.3976  1.7712 0.2753
## Residuals      3 17.611  5.8705               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -776.2321
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  9.6323  9.6323   1.636 0.2908
## Residuals      3 17.6630  5.8877               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -745.9854
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  8.8963  8.8963  1.5066 0.3072
## Residuals      3 17.7147  5.9049               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -715.7387
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  8.1895  8.1895  1.3828 0.3244
## Residuals      3 17.7666  5.9222               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -685.492
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  7.512  7.5120  1.2647 0.3426
## Residuals      3 17.819  5.9396               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -655.2453
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  6.8637  6.8637  1.1522 0.3617
## Residuals      3 17.8709  5.9570               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -624.9986
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  6.2446  6.2446  1.0452 0.3819
## Residuals      3 17.9232  5.9744               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -594.7519
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  5.6548  5.6548  0.9437  0.403
## Residuals      3 17.9757  5.9919               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -564.5052
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  5.0943  5.0943  0.8477 0.4251
## Residuals      3 18.0284  6.0095               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -534.2585
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.563  4.5630  0.7571 0.4483
## Residuals      3 18.081  6.0271               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -504.0117
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.061  4.0610  0.6718 0.4725
## Residuals      3 18.134  6.0447               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -473.765
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  3.5882  3.5882  0.5919 0.4977
## Residuals      3 18.1872  6.0624               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -443.5183
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  3.1446  3.1446  0.5172  0.524
## Residuals      3 18.2405  6.0802               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -413.2716
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  2.7304  2.7304  0.4477 0.5513
## Residuals      3 18.2939  6.0980               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -383.0249
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  2.3453  2.3453  0.3835 0.5796
## Residuals      3 18.3474  6.1158               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -352.7782
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.9895  1.9895  0.3244 0.6089
## Residuals      3 18.4011  6.1337               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -322.5315
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.663  1.6630  0.2703  0.639
## Residuals      3 18.455  6.1517               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -292.2848
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.3657  1.3657  0.2214 0.6701
## Residuals      3 18.5090  6.1697               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -262.0381
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.0977  1.0977  0.1774  0.702
## Residuals      3 18.5631  6.1877               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -231.7913
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.8589  0.8589  0.1384 0.7346
## Residuals      3 18.6174  6.2058               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -201.5446
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.6494  0.6494  0.1043 0.7679
## Residuals      3 18.6719  6.2240               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -171.2979
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.4691  0.4691  0.0751 0.8018
## Residuals      3 18.7265  6.2422               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -141.0512
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.3181  0.3181  0.0508 0.8362
## Residuals      3 18.7812  6.2604               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -110.8045
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.1963  0.1963  0.0313 0.8709
## Residuals      3 18.8361  6.2787               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -80.55779
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.1037  0.1037  0.0165  0.906
## Residuals      3 18.8911  6.2970               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -50.31107
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.0405  0.0405  0.0064 0.9412
## Residuals      3 18.9463  6.3154               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : -20.06436
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.0064  0.0064   0.001 0.9766
## Residuals      3 19.0017  6.3339               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10.18235
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.0017  0.0017   3e-04 0.9881
## Residuals      3 19.0572  6.3524               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 40.42906
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.0261  0.0261  0.0041  0.953
## Residuals      3 19.1128  6.3709               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 70.67577
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.0799  0.0799  0.0125  0.918
## Residuals      3 19.1686  6.3895               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 100.9225
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.1628  0.1628  0.0254 0.8835
## Residuals      3 19.2245  6.4082               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 131.1692
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.2751  0.2751  0.0428 0.8494
## Residuals      3 19.2806  6.4269               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 161.4159
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.4165  0.4165  0.0646 0.8158
## Residuals      3 19.3369  6.4456               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 191.6626
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.5872  0.5872  0.0908 0.7828
## Residuals      3 19.3932  6.4644               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 221.9093
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  0.7872  0.7872  0.1214 0.7505
## Residuals      3 19.4498  6.4833               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 252.156
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.0165  1.0165  0.1563  0.719
## Residuals      3 19.5065  6.5022               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 282.4027
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.2749  1.2749  0.1955 0.6883
## Residuals      3 19.5633  6.5211               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 312.6495
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.5627  1.5627  0.2389 0.6585
## Residuals      3 19.6203  6.5401               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 342.8962
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  1.8796  1.8796  0.2866 0.6296
## Residuals      3 19.6774  6.5591               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 373.1429
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  2.2259  2.2259  0.3384 0.6016
## Residuals      3 19.7347  6.5782               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 403.3896
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  2.6013  2.6013  0.3943 0.5746
## Residuals      3 19.7921  6.5974               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 433.6363
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  3.0061  3.0061  0.4543 0.5486
## Residuals      3 19.8497  6.6166               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 463.883
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  3.4401  3.4401  0.5184 0.5235
## Residuals      3 19.9075  6.6358               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 494.1297
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  3.9033  3.9033  0.5865 0.4995
## Residuals      3 19.9653  6.6551               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 524.3764
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.3958  4.3958  0.6586 0.4765
## Residuals      3 20.0234  6.6745               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 554.6232
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  4.9175  4.9175  0.7346 0.4544
## Residuals      3 20.0815  6.6938               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 584.8699
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  5.4685  5.4685  0.8146 0.4333
## Residuals      3 20.1399  6.7133               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 615.1166
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  6.0487  6.0487  0.8984 0.4131
## Residuals      3 20.1984  6.7328               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 645.3633
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  6.6582  6.6582  0.9861 0.3939
## Residuals      3 20.2570  6.7523               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 675.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  7.2969  7.2969  1.0775 0.3756
## Residuals      3 20.3158  6.7719               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 705.8567
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  7.9649  7.9649  1.1728 0.3581
## Residuals      3 20.3747  6.7916               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 736.1034
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  8.6621  8.6621  1.2717 0.3415
## Residuals      3 20.4338  6.8113               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 766.3501
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1  9.3886  9.3886  1.3744 0.3257
## Residuals      3 20.4930  6.8310               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 796.5968
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 10.144 10.1444  1.4808 0.3107
## Residuals      3 20.552  6.8508               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 826.8436
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 10.929 10.9294  1.5907 0.2964
## Residuals      3 20.612  6.8706               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 857.0903
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 11.744 11.7436  1.7043 0.2828
## Residuals      3 20.672  6.8905               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 887.337
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 12.587 12.5871  1.8215 0.2699
## Residuals      3 20.731  6.9105               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 917.5837
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 13.460 13.4598  1.9421 0.2577
## Residuals      3 20.791  6.9305               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 947.8304
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 14.362 14.3618  2.0663 0.2461
## Residuals      3 20.852  6.9505               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 978.0771
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 15.293 15.2931  2.1939 0.2351
## Residuals      3 20.912  6.9706               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1008.324
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 16.253 16.2535   2.325 0.2247
## Residuals      3 20.972  6.9907               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1038.571
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 17.243 17.2433  2.4595 0.2148
## Residuals      3 21.033  7.0109               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1068.817
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 18.262 18.2623  2.5973 0.2054
## Residuals      3 21.093  7.0312               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1099.064
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 19.311 19.3105  2.7385 0.1965
## Residuals      3 21.154  7.0514               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1129.311
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 20.388 20.3880   2.883 0.1881
## Residuals      3 21.215  7.0718               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1159.557
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 21.495 21.4948  3.0308 0.1801
## Residuals      3 21.276  7.0922               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1189.804
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 22.631 22.6307  3.1818 0.1725
## Residuals      3 21.338  7.1126               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1220.051
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 23.796 23.7960   3.336 0.1653
## Residuals      3 21.399  7.1331               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1250.298
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 24.991 24.9905  3.4934 0.1584
## Residuals      3 21.461  7.1536               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1280.544
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 26.214 26.2142  3.6539 0.1519
## Residuals      3 21.523  7.1742               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1310.791
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 27.467 27.4672  3.8176 0.1457
## Residuals      3 21.585  7.1949               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1341.038
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 28.750 28.7495  3.9844 0.1399
## Residuals      3 21.647  7.2156               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1371.284
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 30.061 30.0610  4.1542 0.1343
## Residuals      3 21.709  7.2363               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1401.531
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 31.402 31.4017   4.327  0.129
## Residuals      3 21.771  7.2571               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1431.778
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 32.772  32.772  4.5029 0.1239
## Residuals      3 21.834   7.278               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1462.024
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 34.171  34.171  4.6817 0.1192
## Residuals      3 21.896   7.299               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1492.271
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 35.599  35.599  4.8635 0.1146
## Residuals      3 21.959   7.320               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1522.518
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 37.057  37.057  5.0482 0.1103
## Residuals      3 22.022   7.341               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1552.765
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 38.544  38.544  5.2357 0.1061
## Residuals      3 22.085   7.362               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1583.011
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)
## Nonadditivity  1 40.060  40.060  5.4261 0.1022
## Residuals      3 22.149   7.383               
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1613.258
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 41.606  41.606  5.6194 0.09846 .
## Residuals      3 22.212   7.404                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1643.505
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 43.181  43.181  5.8154 0.09489 .
## Residuals      3 22.276   7.425                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1673.751
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 44.785  44.785  6.0143 0.09148 .
## Residuals      3 22.339   7.446                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1703.998
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 46.418  46.418  6.2158 0.08824 .
## Residuals      3 22.403   7.468                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1734.245
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 48.080  48.080  6.4201 0.08514 .
## Residuals      3 22.467   7.489                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1764.492
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 49.772  49.772  6.6271 0.08218 .
## Residuals      3 22.531   7.510                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1794.738
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 51.493  51.493  6.8367 0.07936 .
## Residuals      3 22.596   7.532                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1824.985
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 53.243  53.243   7.049 0.07667 .
## Residuals      3 22.660   7.553                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1855.232
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 55.023  55.023  7.2639 0.07409 .
## Residuals      3 22.725   7.575                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1885.478
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 56.832  56.832  7.4813 0.07163 .
## Residuals      3 22.789   7.596                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1915.725
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 58.670  58.670  7.7014 0.06927 .
## Residuals      3 22.854   7.618                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1945.972
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 60.537  60.537  7.9239 0.06702 .
## Residuals      3 22.919   7.640                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 1976.219
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 62.434  62.434   8.149 0.06486 .
## Residuals      3 22.985   7.662                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2006.465
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 64.359  64.359  8.3765 0.0628 .
## Residuals      3 23.050   7.683                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2036.712
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 66.314  66.314  8.6065 0.06082 .
## Residuals      3 23.115   7.705                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2066.959
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 68.299  68.299  8.8389 0.05892 .
## Residuals      3 23.181   7.727                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2097.205
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 70.312  70.312  9.0737 0.05711 .
## Residuals      3 23.247   7.749                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2127.452
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 72.355  72.355  9.3109 0.05537 .
## Residuals      3 23.313   7.771                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2157.699
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 74.427  74.427  9.5505 0.0537 .
## Residuals      3 23.379   7.793                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2187.946
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 76.528  76.528  9.7924 0.05209 .
## Residuals      3 23.445   7.815                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2218.192
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 78.659  78.659  10.037 0.05056 .
## Residuals      3 23.512   7.837                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2248.439
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 80.818  80.818  10.283 0.04908 *
## Residuals      3 23.578   7.859                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2278.686
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 83.007  83.007  10.532 0.04766 *
## Residuals      3 23.645   7.882                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2308.932
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 85.226  85.226  10.783 0.0463 *
## Residuals      3 23.712   7.904                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2339.179
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 87.473  87.473  11.036 0.04499 *
## Residuals      3 23.779   7.926                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2369.426
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 89.750  89.750  11.291 0.04373 *
## Residuals      3 23.846   7.949                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2399.673
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 92.056  92.056  11.549 0.04251 *
## Residuals      3 23.913   7.971                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2429.919
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 94.391  94.391  11.809 0.04135 *
## Residuals      3 23.981   7.994                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2460.166
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 96.756  96.756   12.07 0.04022 *
## Residuals      3 24.048   8.016                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2490.413
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 99.150  99.150  12.334 0.03914 *
## Residuals      3 24.116   8.039                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2520.659
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 101.573 101.573    12.6 0.0381 *
## Residuals      3  24.184   8.061                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2550.906
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 104.025 104.025  12.868 0.0371 *
## Residuals      3  24.252   8.084                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2581.153
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 106.51 106.506  13.138 0.03613 *
## Residuals      3  24.32   8.107                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2611.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 109.017 109.017   13.41 0.0352 *
## Residuals      3  24.388   8.129                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2641.646
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 111.557 111.557  13.684 0.0343 *
## Residuals      3  24.457   8.152                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2671.893
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 114.126 114.126   13.96 0.03343 *
## Residuals      3  24.526   8.175                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2702.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 116.725 116.725  14.238 0.03259 *
## Residuals      3  24.594   8.198                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2732.386
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 119.353 119.353  14.518 0.03178 *
## Residuals      3  24.663   8.221                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2762.633
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 122.010 122.010    14.8  0.031 *
## Residuals      3  24.732   8.244                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2792.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 124.696 124.696  15.083 0.03025 *
## Residuals      3  24.802   8.267                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2823.127
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 127.412  127.41  15.369 0.02952 *
## Residuals      3  24.871    8.29                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2853.373
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 130.156 130.156  15.656 0.02882 *
## Residuals      3  24.941   8.314                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2883.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 132.93 132.930  15.945 0.02813 *
## Residuals      3  25.01   8.337                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2913.867
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 135.73  135.73  16.236 0.02748 *
## Residuals      3  25.08    8.36                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2944.113
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 138.57 138.566  16.529 0.02684 *
## Residuals      3  25.15   8.383                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 2974.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 141.43 141.428  16.823 0.02622 *
## Residuals      3  25.22   8.407                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3004.607
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 144.32  144.32  17.119 0.02563 *
## Residuals      3  25.29    8.43                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3034.853
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 147.239 147.239  17.417 0.02505 *
## Residuals      3  25.361   8.454                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3065.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 150.189 150.189  17.717 0.02449 *
## Residuals      3  25.431   8.477                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3095.347
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 153.167 153.167  18.018 0.02395 *
## Residuals      3  25.502   8.501                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3125.594
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 156.176 156.176  18.321 0.02342 *
## Residuals      3  25.573   8.524                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3155.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 159.213 159.213  18.626 0.02292 *
## Residuals      3  25.644   8.548                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3186.087
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 162.279 162.279  18.932 0.02242 *
## Residuals      3  25.715   8.572                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3216.334
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 165.375 165.375   19.24 0.02195 *
## Residuals      3  25.787   8.596                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3246.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 168.500 168.500  19.549 0.02148 *
## Residuals      3  25.858   8.619                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3276.827
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 171.65 171.654   19.86 0.02103 *
## Residuals      3  25.93   8.643                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3307.074
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 174.838 174.838  20.172 0.0206 *
## Residuals      3  26.001   8.667                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3337.321
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 178.051 178.051  20.486 0.02017 *
## Residuals      3  26.073   8.691                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3367.567
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 181.293 181.293  20.802 0.01976 *
## Residuals      3  26.146   8.715                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3397.814
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 184.564 184.564  21.119 0.01936 *
## Residuals      3  26.218   8.739                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3428.061
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 187.87 187.865  21.438 0.01898 *
## Residuals      3  26.29   8.763                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3458.307
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 191.194 191.194  21.757 0.0186 *
## Residuals      3  26.363   8.788                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3488.554
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 194.553 194.553  22.079 0.01823 *
## Residuals      3  26.435   8.812                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3518.801
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 197.942 197.942  22.402 0.01788 *
## Residuals      3  26.508   8.836                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3549.048
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 201.359  201.36  22.726 0.01753 *
## Residuals      3  26.581    8.86                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3579.294
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 204.806 204.806  23.051 0.0172 *
## Residuals      3  26.654   8.885                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3609.541
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 208.282 208.282  23.378 0.01687 *
## Residuals      3  26.728   8.909                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3639.788
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 211.787 211.787  23.707 0.01655 *
## Residuals      3  26.801   8.934                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3670.034
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 215.322 215.322  24.036 0.01624 *
## Residuals      3  26.874   8.958                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3700.281
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 218.886 218.886  24.367 0.01594 *
## Residuals      3  26.948   8.983                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3730.528
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 222.479 222.479    24.7 0.01565 *
## Residuals      3  27.022   9.007                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3760.775
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 226.101 226.101  25.033 0.01536 *
## Residuals      3  27.096   9.032                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3791.021
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 229.75 229.753  25.368 0.01509 *
## Residuals      3  27.17   9.057                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3821.268
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 233.433 233.433  25.704 0.01482 *
## Residuals      3  27.245   9.082                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3851.515
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 237.143 237.143  26.041 0.01455 *
## Residuals      3  27.319   9.106                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3881.761
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 240.883 240.883   26.38 0.0143 *
## Residuals      3  27.394   9.131                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3912.008
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 244.651 244.651   26.72 0.01405 *
## Residuals      3  27.468   9.156                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3942.255
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 248.449 248.449  27.061 0.0138 *
## Residuals      3  27.543   9.181                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 3972.502
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 252.276 252.276  27.403 0.01357 *
## Residuals      3  27.618   9.206                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4002.748
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 256.132 256.132  27.746 0.01334 *
## Residuals      3  27.694   9.231                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4032.995
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 260.018 260.018  28.091 0.01311 *
## Residuals      3  27.769   9.256                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4063.242
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 263.933 263.933  28.436 0.01289 *
## Residuals      3  27.845   9.282                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4093.488
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 267.88 267.877  28.783 0.01267 *
## Residuals      3  27.92   9.307                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4123.735
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 271.850 271.850  29.131 0.01247 *
## Residuals      3  27.996   9.332                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4153.982
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 275.853 275.853   29.48 0.01226 *
## Residuals      3  28.072   9.357                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4184.229
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 279.884 279.884   29.83 0.01206 *
## Residuals      3  28.148   9.383                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4214.475
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 283.945 283.945  30.181 0.01187 *
## Residuals      3  28.224   9.408                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4244.722
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 288.036 288.036  30.533 0.01168 *
## Residuals      3  28.301   9.434                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4274.969
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 292.155 292.155  30.886 0.01149 *
## Residuals      3  28.377   9.459                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4305.215
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 296.304 296.304   31.24 0.01131 *
## Residuals      3  28.454   9.485                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4335.462
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 300.482  300.48  31.596 0.01113 *
## Residuals      3  28.531    9.51                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4365.709
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 304.689 304.689  31.952 0.01096 *
## Residuals      3  28.608   9.536                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4395.955
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 308.926 308.926  32.309 0.01079 *
## Residuals      3  28.685   9.562                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4426.202
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 313.192 313.192  32.667 0.01063 *
## Residuals      3  28.762   9.587                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4456.449
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 317.49  317.49  33.026 0.01047 *
## Residuals      3  28.84    9.61                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4486.696
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 321.81  321.81  33.386 0.01031 *
## Residuals      3  28.92    9.64                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4516.942
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)  
## Nonadditivity  1 326.16  326.16  33.747 0.01015 *
## Residuals      3  29.00    9.67                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4547.189
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Nonadditivity  1 330.55  330.55  34.109   0.01 *
## Residuals      3  29.07    9.69                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4577.436
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 334.96  334.96  34.471 0.009856 **
## Residuals      3  29.15    9.72                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4607.682
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 339.40  339.40  34.835 0.009712 **
## Residuals      3  29.23    9.74                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4637.929
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 343.87  343.87  35.199 0.009571 **
## Residuals      3  29.31    9.77                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4668.176
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 348.37  348.37  35.565 0.009433 **
## Residuals      3  29.39    9.80                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4698.423
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 352.90  352.90  35.931 0.009298 **
## Residuals      3  29.46    9.82                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4728.669
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 357.46  357.46  36.298 0.009166 **
## Residuals      3  29.54    9.85                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4758.916
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 362.05  362.05  36.666 0.009036 **
## Residuals      3  29.62    9.87                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4789.163
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 366.66  366.66  37.035 0.00891 **
## Residuals      3  29.70    9.90                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4819.409
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 371.31  371.31  37.404 0.008786 **
## Residuals      3  29.78    9.93                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4849.656
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 375.98  375.98  37.774 0.008665 **
## Residuals      3  29.86    9.95                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4879.903
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 380.69  380.69  38.145 0.008546 **
## Residuals      3  29.94    9.98                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4910.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 385.42  385.42  38.517 0.00843 **
## Residuals      3  30.02   10.01                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4940.396
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 390.19  390.19   38.89 0.008316 **
## Residuals      3  30.10   10.03                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 4970.643
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 394.98  394.98  39.263 0.008204 **
## Residuals      3  30.18   10.06                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5000.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 399.80  399.80  39.637 0.008095 **
## Residuals      3  30.26   10.09                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5031.136
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 404.65  404.65  40.012 0.007988 **
## Residuals      3  30.34   10.11                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5061.383
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 409.53  409.53  40.387 0.007883 **
## Residuals      3  30.42   10.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5091.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 414.44  414.44  40.763 0.00778 **
## Residuals      3  30.50   10.17                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5121.877
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 419.38  419.38   41.14 0.007679 **
## Residuals      3  30.58   10.19                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5152.123
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 424.35  424.35  41.518 0.00758 **
## Residuals      3  30.66   10.22                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5182.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 429.34  429.34  41.896 0.007483 **
## Residuals      3  30.74   10.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5212.617
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 434.37  434.37  42.275 0.007388 **
## Residuals      3  30.82   10.27                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5242.863
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 439.43  439.43  42.654 0.007295 **
## Residuals      3  30.91   10.30                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5273.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 444.51  444.51  43.034 0.007204 **
## Residuals      3  30.99   10.33                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5303.357
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 449.62  449.62  43.415 0.007114 **
## Residuals      3  31.07   10.36                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5333.604
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 454.77  454.77  43.796 0.007026 **
## Residuals      3  31.15   10.38                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5363.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 459.94  459.94  44.178 0.00694 **
## Residuals      3  31.23   10.41                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5394.097
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 465.14  465.14  44.561 0.006855 **
## Residuals      3  31.32   10.44                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5424.344
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 470.37  470.37  44.944 0.006772 **
## Residuals      3  31.40   10.47                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5454.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 475.63  475.63  45.328 0.006691 **
## Residuals      3  31.48   10.49                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5484.837
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 480.92  480.92  45.712 0.006611 **
## Residuals      3  31.56   10.52                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5515.084
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 486.24  486.24  46.097 0.006532 **
## Residuals      3  31.64   10.55                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5545.331
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 491.59  491.59  46.482 0.006455 **
## Residuals      3  31.73   10.58                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5575.577
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 496.97  496.97  46.868 0.006379 **
## Residuals      3  31.81   10.60                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5605.824
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 502.37  502.37  47.254 0.006305 **
## Residuals      3  31.89   10.63                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5636.071
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 507.81  507.81  47.641 0.006232 **
## Residuals      3  31.98   10.66                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5666.317
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 513.27  513.27  48.029 0.00616 **
## Residuals      3  32.06   10.69                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5696.564
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 518.77  518.77  48.416 0.00609 **
## Residuals      3  32.14   10.71                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5726.811
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 524.29  524.29  48.805 0.006021 **
## Residuals      3  32.23   10.74                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5757.057
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 529.85  529.85  49.194 0.005953 **
## Residuals      3  32.31   10.77                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5787.304
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 535.43  535.43  49.583 0.005886 **
## Residuals      3  32.40   10.80                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5817.551
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 541.04  541.04  49.973 0.00582 **
## Residuals      3  32.48   10.83                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5847.798
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 546.68  546.68  50.363 0.005756 **
## Residuals      3  32.56   10.85                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5878.044
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 552.35  552.35  50.754 0.005692 **
## Residuals      3  32.65   10.88                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5908.291
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 558.05  558.05  51.145 0.00563 **
## Residuals      3  32.73   10.91                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5938.538
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 563.78  563.78  51.536 0.005569 **
## Residuals      3  32.82   10.94                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5968.784
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 569.53  569.53  51.928 0.005509 **
## Residuals      3  32.90   10.97                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 5999.031
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 575.32  575.32  52.321 0.00545 **
## Residuals      3  32.99   11.00                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6029.278
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 581.14  581.14  52.713 0.005391 **
## Residuals      3  33.07   11.02                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6059.525
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 586.98  586.98  53.106 0.005334 **
## Residuals      3  33.16   11.05                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6089.771
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 592.86  592.86    53.5 0.005278 **
## Residuals      3  33.24   11.08                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6120.018
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 598.76  598.76  53.894 0.005223 **
## Residuals      3  33.33   11.11                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6150.265
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 604.69  604.69  54.288 0.005168 **
## Residuals      3  33.42   11.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6180.511
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 610.66  610.66  54.682 0.005115 **
## Residuals      3  33.50   11.17                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6210.758
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 616.65  616.65  55.078 0.005062 **
## Residuals      3  33.59   11.20                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6241.005
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 622.67  622.67  55.473 0.00501 **
## Residuals      3  33.67   11.22                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6271.252
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 628.72  628.72  55.868 0.004959 **
## Residuals      3  33.76   11.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6301.498
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 634.80  634.80  56.264 0.004909 **
## Residuals      3  33.85   11.28                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6331.745
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 640.91  640.91   56.66 0.00486 **
## Residuals      3  33.93   11.31                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6361.992
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 647.04  647.04  57.057 0.004811 **
## Residuals      3  34.02   11.34                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6392.238
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 653.21  653.21  57.454 0.004764 **
## Residuals      3  34.11   11.37                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6422.485
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 659.41  659.41  57.851 0.004716 **
## Residuals      3  34.20   11.40                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6452.732
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 665.63  665.63  58.249 0.00467 **
## Residuals      3  34.28   11.43                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6482.979
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 671.89  671.89  58.646 0.004625 **
## Residuals      3  34.37   11.46                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6513.225
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 678.17  678.17  59.044 0.00458 **
## Residuals      3  34.46   11.49                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6543.472
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 684.49  684.49  59.443 0.004536 **
## Residuals      3  34.55   11.52                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6573.719
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 690.83  690.83  59.841 0.004492 **
## Residuals      3  34.63   11.54                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6603.965
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 697.20  697.20   60.24 0.004449 **
## Residuals      3  34.72   11.57                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6634.212
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 703.60   703.6  60.639 0.004407 **
## Residuals      3  34.81    11.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6664.459
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 710.03  710.03  61.038 0.004365 **
## Residuals      3  34.90   11.63                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6694.706
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 716.49  716.49  61.438 0.004325 **
## Residuals      3  34.99   11.66                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6724.952
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 722.98  722.98  61.837 0.004284 **
## Residuals      3  35.08   11.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6755.199
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 729.50  729.50  62.237 0.004245 **
## Residuals      3  35.16   11.72                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6785.446
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 736.05  736.05  62.637 0.004205 **
## Residuals      3  35.25   11.75                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6815.692
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 742.62  742.62  63.038 0.004167 **
## Residuals      3  35.34   11.78                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6845.939
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 749.23  749.23  63.438 0.004129 **
## Residuals      3  35.43   11.81                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6876.186
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 755.86  755.86  63.839 0.004091 **
## Residuals      3  35.52   11.84                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6906.433
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 762.53  762.53   64.24 0.004055 **
## Residuals      3  35.61   11.87                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6936.679
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 769.22  769.22  64.641 0.004018 **
## Residuals      3  35.70   11.90                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6966.926
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 775.94  775.94  65.042 0.003982 **
## Residuals      3  35.79   11.93                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 6997.173
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 782.70  782.70  65.443 0.003947 **
## Residuals      3  35.88   11.96                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7027.419
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 789.48  789.48  65.845 0.003912 **
## Residuals      3  35.97   11.99                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7057.666
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 796.29  796.29  66.247 0.003878 **
## Residuals      3  36.06   12.02                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7087.913
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 803.13  803.13  66.648 0.003844 **
## Residuals      3  36.15   12.05                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7118.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 810.00  810.00   67.05 0.003811 **
## Residuals      3  36.24   12.08                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7148.406
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 816.90  816.90  67.453 0.003778 **
## Residuals      3  36.33   12.11                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7178.653
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 823.82  823.82  67.855 0.003746 **
## Residuals      3  36.42   12.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7208.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 830.78  830.78  68.257 0.003714 **
## Residuals      3  36.51   12.17                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7239.146
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 837.77  837.77   68.66 0.003682 **
## Residuals      3  36.61   12.20                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7269.393
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 844.78  844.78  69.062 0.003651 **
## Residuals      3  36.70   12.23                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7299.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 851.83  851.83  69.465 0.00362 **
## Residuals      3  36.79   12.26                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7329.886
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 858.90  858.90  69.868 0.00359 **
## Residuals      3  36.88   12.29                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7360.133
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 866.00  866.00  70.271 0.00356 **
## Residuals      3  36.97   12.32                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7390.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 873.14  873.14  70.674 0.003531 **
## Residuals      3  37.06   12.35                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7420.627
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 880.30  880.30  71.077 0.003502 **
## Residuals      3  37.16   12.39                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7450.873
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 887.49  887.49   71.48 0.003473 **
## Residuals      3  37.25   12.42                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7481.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 894.71  894.71  71.883 0.003445 **
## Residuals      3  37.34   12.45                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7511.367
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 901.96  901.96  72.286 0.003417 **
## Residuals      3  37.43   12.48                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7541.613
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 909.24  909.24  72.689 0.00339 **
## Residuals      3  37.53   12.51                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7571.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 916.54  916.54  73.093 0.003363 **
## Residuals      3  37.62   12.54                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7602.107
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 923.88  923.88  73.496 0.003336 **
## Residuals      3  37.71   12.57                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7632.354
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 931.25  931.25    73.9 0.003309 **
## Residuals      3  37.80   12.60                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7662.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 938.64  938.64  74.303 0.003283 **
## Residuals      3  37.90   12.63                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7692.847
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 946.07  946.07  74.707 0.003258 **
## Residuals      3  37.99   12.66                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7723.094
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 953.52  953.52   75.11 0.003232 **
## Residuals      3  38.08   12.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7753.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 961.01  961.01  75.514 0.003207 **
## Residuals      3  38.18   12.73                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7783.587
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 968.52  968.52  75.918 0.003182 **
## Residuals      3  38.27   12.76                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7813.834
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 976.06  976.06  76.321 0.003158 **
## Residuals      3  38.37   12.79                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7844.081
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 983.63  983.63  76.725 0.003134 **
## Residuals      3  38.46   12.82                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7874.327
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 991.23  991.23  77.129 0.00311 **
## Residuals      3  38.56   12.85                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7904.574
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 998.86  998.86  77.532 0.003086 **
## Residuals      3  38.65   12.88                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7934.821
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1006.52 1006.52  77.936 0.003063 **
## Residuals      3   38.74   12.91                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7965.067
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1014.21 1014.21   78.34 0.00304 **
## Residuals      3   38.84   12.95                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 7995.314
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1021.92 1021.92  78.743 0.003017 **
## Residuals      3   38.93   12.98                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8025.561
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1029.67 1029.67  79.147 0.002995 **
## Residuals      3   39.03   13.01                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8055.808
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1037.45 1037.45   79.55 0.002973 **
## Residuals      3   39.12   13.04                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8086.054
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1045.25 1045.25  79.954 0.002951 **
## Residuals      3   39.22   13.07                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8116.301
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1053.09 1053.09  80.357 0.00293 **
## Residuals      3   39.32   13.11                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8146.548
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1060.95 1060.95  80.761 0.002908 **
## Residuals      3   39.41   13.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8176.794
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1068.84 1068.84  81.164 0.002887 **
## Residuals      3   39.51   13.17                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8207.041
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1076.8  1076.8  81.568 0.002866 **
## Residuals      3   39.6    13.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8237.288
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1084.7 1084.72  81.971 0.002846 **
## Residuals      3   39.7   13.23                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8267.535
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1092.7 1092.70  82.374 0.002826 **
## Residuals      3   39.8   13.27                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8297.781
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1100.71  1100.7  82.778 0.002806 **
## Residuals      3   39.89    13.3                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8328.028
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1108.75 1108.75  83.181 0.002786 **
## Residuals      3   39.99   13.33                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8358.275
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1116.81 1116.81  83.584 0.002766 **
## Residuals      3   40.08   13.36                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8388.521
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1124.91 1124.91  83.987 0.002747 **
## Residuals      3   40.18   13.39                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8418.768
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1133.04 1133.04   84.39 0.002728 **
## Residuals      3   40.28   13.43                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8449.015
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1141.20 1141.20  84.793 0.002709 **
## Residuals      3   40.38   13.46                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8479.262
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1149.38 1149.38  85.196 0.00269 **
## Residuals      3   40.47   13.49                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8509.508
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1157.60 1157.60  85.598 0.002672 **
## Residuals      3   40.57   13.52                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8539.755
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1165.84 1165.84  86.001 0.002654 **
## Residuals      3   40.67   13.56                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8570.002
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1174.11 1174.11  86.403 0.002636 **
## Residuals      3   40.77   13.59                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8600.248
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1182.42 1182.42  86.806 0.002618 **
## Residuals      3   40.86   13.62                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8630.495
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)   
## Nonadditivity  1 1190.75 1190.75  87.208 0.0026 **
## Residuals      3   40.96   13.65                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8660.742
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1199.11 1199.11  87.611 0.002583 **
## Residuals      3   41.06   13.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8690.988
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1207.50 1207.50  88.013 0.002565 **
## Residuals      3   41.16   13.72                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8721.235
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1215.92 1215.92  88.415 0.002548 **
## Residuals      3   41.26   13.75                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8751.482
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1224.37 1224.37  88.817 0.002532 **
## Residuals      3   41.36   13.79                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8781.729
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1232.84 1232.84  89.218 0.002515 **
## Residuals      3   41.45   13.82                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8811.975
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1241.35 1241.35   89.62 0.002499 **
## Residuals      3   41.55   13.85                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8842.222
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1249.89 1249.89  90.022 0.002482 **
## Residuals      3   41.65   13.88                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8872.469
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1258.45 1258.45  90.423 0.002466 **
## Residuals      3   41.75   13.92                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8902.715
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1267.05 1267.05  90.824 0.00245 **
## Residuals      3   41.85   13.95                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8932.962
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1275.67 1275.67  91.225 0.002435 **
## Residuals      3   41.95   13.98                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8963.209
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1284.33 1284.33  91.626 0.002419 **
## Residuals      3   42.05   14.02                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 8993.456
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1293.01 1293.01  92.027 0.002404 **
## Residuals      3   42.15   14.05                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9023.702
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1301.72 1301.72  92.428 0.002388 **
## Residuals      3   42.25   14.08                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9053.949
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1310.46 1310.46  92.829 0.002373 **
## Residuals      3   42.35   14.12                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9084.196
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1319.23 1319.23  93.229 0.002358 **
## Residuals      3   42.45   14.15                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9114.442
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1328.03 1328.03  93.629 0.002344 **
## Residuals      3   42.55   14.18                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9144.689
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1336.86 1336.86  94.029 0.002329 **
## Residuals      3   42.65   14.22                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9174.936
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1345.72 1345.72  94.429 0.002315 **
## Residuals      3   42.75   14.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9205.183
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)   
## Nonadditivity  1 1354.61 1354.61  94.829 0.0023 **
## Residuals      3   42.85   14.28                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9235.429
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1363.52 1363.52  95.229 0.002286 **
## Residuals      3   42.96   14.32                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9265.676
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1372.47 1372.47  95.628 0.002272 **
## Residuals      3   43.06   14.35                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9295.923
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1381.44 1381.44  96.028 0.002259 **
## Residuals      3   43.16   14.39                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9326.169
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1390.45 1390.45  96.427 0.002245 **
## Residuals      3   43.26   14.42                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9356.416
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1399.48 1399.48  96.826 0.002231 **
## Residuals      3   43.36   14.45                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9386.663
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1408.54 1408.54  97.224 0.002218 **
## Residuals      3   43.46   14.49                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9416.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1417.64 1417.64  97.623 0.002205 **
## Residuals      3   43.56   14.52                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9447.156
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1426.76 1426.76  98.021 0.002192 **
## Residuals      3   43.67   14.56                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9477.403
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1435.91 1435.91  98.419 0.002179 **
## Residuals      3   43.77   14.59                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9507.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1445.09 1445.09  98.817 0.002166 **
## Residuals      3   43.87   14.62                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9537.896
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1454.30 1454.30  99.215 0.002153 **
## Residuals      3   43.97   14.66                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9568.143
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1463.54 1463.54  99.613 0.002141 **
## Residuals      3   44.08   14.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9598.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1472.80 1472.80  100.01 0.002128 **
## Residuals      3   44.18   14.73                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9628.637
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1482.10 1482.10  100.41 0.002116 **
## Residuals      3   44.28   14.76                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9658.883
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1491.43  1491.4   100.8 0.002104 **
## Residuals      3   44.39    14.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9689.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1500.78 1500.78   101.2 0.002091 **
## Residuals      3   44.49   14.83                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9719.377
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1510.17 1510.17   101.6 0.00208 **
## Residuals      3   44.59   14.86                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9749.623
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1519.6  1519.6  101.99 0.002068 **
## Residuals      3   44.7    14.9                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9779.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1529.0 1529.02  102.39 0.002056 **
## Residuals      3   44.8   14.93                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9810.117
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1538.5 1538.50  102.79 0.002044 **
## Residuals      3   44.9   14.97                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9840.364
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1548.00    1548  103.18 0.002033 **
## Residuals      3   45.01      15                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9870.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1557.53 1557.53  103.58 0.002022 **
## Residuals      3   45.11   15.04                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9900.857
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1567.09 1567.09  103.97 0.00201 **
## Residuals      3   45.22   15.07                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9931.104
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1576.68 1576.68  104.37 0.001999 **
## Residuals      3   45.32   15.11                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9961.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1586.30 1586.30  104.76 0.001988 **
## Residuals      3   45.43   15.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 9991.597
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1595.94 1595.94  105.16 0.001977 **
## Residuals      3   45.53   15.18                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10021.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1605.62 1605.62  105.55 0.001966 **
## Residuals      3   45.64   15.21                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10052.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1615.33 1615.33  105.95 0.001956 **
## Residuals      3   45.74   15.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10082.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1625.06 1625.06  106.34 0.001945 **
## Residuals      3   45.85   15.28                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10112.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1634.83 1634.83  106.73 0.001934 **
## Residuals      3   45.95   15.32                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10142.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1644.62 1644.62  107.13 0.001924 **
## Residuals      3   46.06   15.35                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10173.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1654.45 1654.45  107.52 0.001914 **
## Residuals      3   46.16   15.39                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10203.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1664.30 1664.30  107.91 0.001904 **
## Residuals      3   46.27   15.42                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10233.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1674.18 1674.18   108.3 0.001893 **
## Residuals      3   46.37   15.46                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10263.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1684.09 1684.09   108.7 0.001883 **
## Residuals      3   46.48   15.49                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10294.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1694.03 1694.03  109.09 0.001873 **
## Residuals      3   46.59   15.53                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10324.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1704.00 1704.00  109.48 0.001864 **
## Residuals      3   46.69   15.56                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10354.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1714.0  1714.0  109.87 0.001854 **
## Residuals      3   46.8    15.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10384.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1724.03 1724.03  110.26 0.001844 **
## Residuals      3   46.91   15.64                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10415.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1734.09 1734.09  110.66 0.001835 **
## Residuals      3   47.01   15.67                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10445.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1744.17 1744.17  111.05 0.001825 **
## Residuals      3   47.12   15.71                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10475.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1754.29 1754.29  111.44 0.001816 **
## Residuals      3   47.23   15.74                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10505.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1764.43 1764.43  111.83 0.001807 **
## Residuals      3   47.33   15.78                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10536.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1774.61 1774.61  112.22 0.001797 **
## Residuals      3   47.44   15.81                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10566.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1784.81 1784.81  112.61 0.001788 **
## Residuals      3   47.55   15.85                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10596.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1795.05 1795.05     113 0.001779 **
## Residuals      3   47.66   15.89                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10626.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1805.31 1805.31  113.39 0.00177 **
## Residuals      3   47.77   15.92                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10657.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1815.60 1815.60  113.77 0.001761 **
## Residuals      3   47.87   15.96                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10687.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1825.92 1825.92  114.16 0.001752 **
## Residuals      3   47.98   15.99                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10717.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1836.27 1836.27  114.55 0.001744 **
## Residuals      3   48.09   16.03                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10747.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1846.7 1846.65  114.94 0.001735 **
## Residuals      3   48.2   16.07                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10778.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1857.06  1857.1  115.33 0.001727 **
## Residuals      3   48.31    16.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10808.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1867.49 1867.49  115.71 0.001718 **
## Residuals      3   48.42   16.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10838.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 1877.96 1877.96   116.1 0.00171 **
## Residuals      3   48.53   16.18                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10868.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1888.46 1888.46  116.49 0.001701 **
## Residuals      3   48.63   16.21                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10899
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1898.98 1898.98  116.87 0.001693 **
## Residuals      3   48.74   16.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10929.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1909.54 1909.54  117.26 0.001685 **
## Residuals      3   48.85   16.28                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10959.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1920.12 1920.12  117.65 0.001677 **
## Residuals      3   48.96   16.32                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 10989.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1930.74 1930.74  118.03 0.001669 **
## Residuals      3   49.07   16.36                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11019.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1941.38 1941.38  118.42 0.001661 **
## Residuals      3   49.18   16.39                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11050.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1952.05 1952.05   118.8 0.001653 **
## Residuals      3   49.29   16.43                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11080.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1962.8 1962.75  119.19 0.001645 **
## Residuals      3   49.4   16.47                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11110.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1973.48  1973.5  119.57 0.001637 **
## Residuals      3   49.51    16.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11140.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1984.24 1984.24  119.96 0.001629 **
## Residuals      3   49.62   16.54                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11171.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 1995.03 1995.03  120.34 0.001622 **
## Residuals      3   49.73   16.58                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11201.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2005.85 2005.85  120.72 0.001614 **
## Residuals      3   49.85   16.62                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11231.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2016.69 2016.69  121.11 0.001607 **
## Residuals      3   49.96   16.65                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11261.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2027.57 2027.57  121.49 0.001599 **
## Residuals      3   50.07   16.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11292.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2038.48 2038.48  121.87 0.001592 **
## Residuals      3   50.18   16.73                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11322.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2049.41 2049.41  122.26 0.001585 **
## Residuals      3   50.29   16.76                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11352.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2060.4  2060.4  122.64 0.001577 **
## Residuals      3   50.4    16.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11382.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2071.37 2071.37  123.02 0.00157 **
## Residuals      3   50.51   16.84                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11413.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2082.39 2082.39   123.4 0.001563 **
## Residuals      3   50.62   16.87                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11443.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2093.44 2093.44  123.78 0.001556 **
## Residuals      3   50.74   16.91                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11473.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2104.52 2104.52  124.16 0.001549 **
## Residuals      3   50.85   16.95                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11503.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2115.63 2115.63  124.54 0.001542 **
## Residuals      3   50.96   16.99                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11534.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2126.77 2126.77  124.92 0.001535 **
## Residuals      3   51.07   17.02                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11564.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2137.94 2137.94   125.3 0.001528 **
## Residuals      3   51.19   17.06                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11594.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2149.1  2149.1  125.68 0.001521 **
## Residuals      3   51.3    17.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11624.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2160.37 2160.37  126.06 0.001515 **
## Residuals      3   51.41   17.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11655.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2171.63 2171.63  126.44 0.001508 **
## Residuals      3   51.52   17.17                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11685.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2182.91 2182.91  126.82 0.001501 **
## Residuals      3   51.64   17.21                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11715.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2194.23 2194.23   127.2 0.001495 **
## Residuals      3   51.75   17.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11745.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2205.57 2205.57  127.58 0.001488 **
## Residuals      3   51.86   17.29                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11776.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2216.94 2216.94  127.95 0.001482 **
## Residuals      3   51.98   17.33                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11806.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2228.35 2228.35  128.33 0.001475 **
## Residuals      3   52.09   17.36                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11836.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2239.78  2239.8  128.71 0.001469 **
## Residuals      3   52.21    17.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11866.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2251.24 2251.24  129.08 0.001463 **
## Residuals      3   52.32   17.44                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11897.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2262.73 2262.73  129.46 0.001457 **
## Residuals      3   52.43   17.48                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11927.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2274.25 2274.25  129.84 0.00145 **
## Residuals      3   52.55   17.52                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11957.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2285.80 2285.80  130.21 0.001444 **
## Residuals      3   52.66   17.55                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 11987.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2297.38 2297.38  130.59 0.001438 **
## Residuals      3   52.78   17.59                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12018.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2308.99 2308.99  130.96 0.001432 **
## Residuals      3   52.89   17.63                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12048.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2320.62 2320.62  131.34 0.001426 **
## Residuals      3   53.01   17.67                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12078.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2332.29 2332.29  131.71 0.00142 **
## Residuals      3   53.12   17.71                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12108.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2343.99 2343.99  132.09 0.001414 **
## Residuals      3   53.24   17.75                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12139.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2355.71 2355.71  132.46 0.001408 **
## Residuals      3   53.35   17.78                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12169.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2367.46 2367.46  132.83 0.001402 **
## Residuals      3   53.47   17.82                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12199.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2379.25 2379.25   133.2 0.001397 **
## Residuals      3   53.58   17.86                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12229.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2391.1  2391.1  133.58 0.001391 **
## Residuals      3   53.7    17.9                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12260.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2402.90 2402.90  133.95 0.001385 **
## Residuals      3   53.82   17.94                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12290.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2414.77 2414.77  134.32 0.00138 **
## Residuals      3   53.93   17.98                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12320.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2426.67 2426.67  134.69 0.001374 **
## Residuals      3   54.05   18.02                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12350.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2438.60 2438.60  135.06 0.001368 **
## Residuals      3   54.17   18.06                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12381.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2450.56 2450.56  135.43 0.001363 **
## Residuals      3   54.28   18.09                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12411.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2462.6 2462.55  135.81 0.001357 **
## Residuals      3   54.4   18.13                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12441.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2474.57 2474.57  136.18 0.001352 **
## Residuals      3   54.52   18.17                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12471.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2486.61 2486.61  136.54 0.001347 **
## Residuals      3   54.63   18.21                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12502.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2498.69 2498.69  136.91 0.001341 **
## Residuals      3   54.75   18.25                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12532.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2510.79 2510.79  137.28 0.001336 **
## Residuals      3   54.87   18.29                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12562.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2522.93 2522.93  137.65 0.001331 **
## Residuals      3   54.98   18.33                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12592.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2535.1 2535.09  138.02 0.001325 **
## Residuals      3   55.1   18.37                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12623.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2547.28 2547.28  138.39 0.00132 **
## Residuals      3   55.22   18.41                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12653.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2559.51 2559.51  138.76 0.001315 **
## Residuals      3   55.34   18.45                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12683.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2571.76 2571.76  139.12 0.00131 **
## Residuals      3   55.46   18.49                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12713.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2584.04 2584.04  139.49 0.001305 **
## Residuals      3   55.57   18.52                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12744.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value Pr(>F)   
## Nonadditivity  1 2596.35 2596.35  139.86 0.0013 **
## Residuals      3   55.69   18.56                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12774.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2608.69  2608.7  140.22 0.001295 **
## Residuals      3   55.81    18.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12804.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2621.05 2621.05  140.59 0.00129 **
## Residuals      3   55.93   18.64                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12834.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2633.45 2633.45  140.95 0.001285 **
## Residuals      3   56.05   18.68                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12865.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2645.88 2645.88  141.32 0.00128 **
## Residuals      3   56.17   18.72                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12895.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2658.33 2658.33  141.68 0.001275 **
## Residuals      3   56.29   18.76                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12925.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2670.82  2670.8  142.05 0.00127 **
## Residuals      3   56.41    18.8                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12955.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2683.33 2683.33  142.41 0.001266 **
## Residuals      3   56.53   18.84                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 12986.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2695.88 2695.88  142.78 0.001261 **
## Residuals      3   56.65   18.88                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13016.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2708.45 2708.45  143.14 0.001256 **
## Residuals      3   56.77   18.92                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13046.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2721.05 2721.05   143.5 0.001251 **
## Residuals      3   56.89   18.96                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13076.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2733.68  2733.7  143.86 0.001247 **
## Residuals      3   57.01    19.0                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13107.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2746.35 2746.35  144.23 0.001242 **
## Residuals      3   57.13   19.04                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13137.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2759.04 2759.04  144.59 0.001238 **
## Residuals      3   57.25   19.08                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13167.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2771.75 2771.75  144.95 0.001233 **
## Residuals      3   57.37   19.12                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13197.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2784.50 2784.50  145.31 0.001228 **
## Residuals      3   57.49   19.16                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13228
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2797.28  2797.3  145.67 0.001224 **
## Residuals      3   57.61    19.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13258.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2810.09 2810.09  146.03 0.00122 **
## Residuals      3   57.73   19.24                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13288.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2822.92 2822.92  146.39 0.001215 **
## Residuals      3   57.85   19.28                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13318.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2835.79 2835.79  146.75 0.001211 **
## Residuals      3   57.97   19.32                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13348.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2848.68 2848.68  147.11 0.001206 **
## Residuals      3   58.09   19.36                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13379.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2861.61  2861.6  147.47 0.001202 **
## Residuals      3   58.21    19.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13409.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2874.56 2874.56  147.83 0.001198 **
## Residuals      3   58.34   19.45                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13439.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2887.54 2887.54  148.19 0.001193 **
## Residuals      3   58.46   19.49                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13469.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2900.56 2900.56  148.54 0.001189 **
## Residuals      3   58.58   19.53                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13500.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2913.6 2913.60   148.9 0.001185 **
## Residuals      3   58.7   19.57                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13530.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2926.67 2926.67  149.26 0.001181 **
## Residuals      3   58.82   19.61                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13560.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2939.77 2939.77  149.62 0.001177 **
## Residuals      3   58.95   19.65                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13590.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2952.89 2952.89  149.97 0.001173 **
## Residuals      3   59.07   19.69                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13621.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2966.05 2966.05  150.33 0.001168 **
## Residuals      3   59.19   19.73                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13651.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 2979.24 2979.24  150.68 0.001164 **
## Residuals      3   59.31   19.77                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13681.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 2992.46 2992.46  151.04 0.00116 **
## Residuals      3   59.44   19.81                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13711.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3005.70 3005.70  151.39 0.001156 **
## Residuals      3   59.56   19.85                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13742.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3018.98 3018.98  151.75 0.001152 **
## Residuals      3   59.68   19.89                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13772.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3032.28 3032.28   152.1 0.001148 **
## Residuals      3   59.81   19.94                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13802.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3045.61 3045.61  152.46 0.001144 **
## Residuals      3   59.93   19.98                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13832.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3058.98 3058.98  152.81 0.001141 **
## Residuals      3   60.06   20.02                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13863.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3072.37 3072.37  153.16 0.001137 **
## Residuals      3   60.18   20.06                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13893.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3085.8  3085.8  153.51 0.001133 **
## Residuals      3   60.3    20.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13923.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3099.24 3099.24  153.87 0.001129 **
## Residuals      3   60.43   20.14                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13953.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3112.72 3112.72  154.22 0.001125 **
## Residuals      3   60.55   20.18                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 13984.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3126.23 3126.23  154.57 0.001121 **
## Residuals      3   60.68   20.23                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14014.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3139.8 3139.77  154.92 0.001118 **
## Residuals      3   60.8   20.27                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14044.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3153.34 3153.34  155.27 0.001114 **
## Residuals      3   60.93   20.31                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14074.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 3166.9  3166.9  155.62 0.00111 **
## Residuals      3   61.1    20.4                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14105.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3180.6  3180.6  155.97 0.001107 **
## Residuals      3   61.2    20.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14135.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3194.2  3194.2  156.32 0.001103 **
## Residuals      3   61.3    20.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14165.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3207.9  3207.9  156.67 0.001099 **
## Residuals      3   61.4    20.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14195.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3221.6  3221.6  157.02 0.001096 **
## Residuals      3   61.6    20.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14226.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3235.4  3235.4  157.37 0.001092 **
## Residuals      3   61.7    20.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14256.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3249.1  3249.1  157.72 0.001089 **
## Residuals      3   61.8    20.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14286.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3262.9  3262.9  158.06 0.001085 **
## Residuals      3   61.9    20.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14316.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3276.8  3276.8  158.41 0.001081 **
## Residuals      3   62.1    20.7                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14347.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3290.6  3290.6  158.76 0.001078 **
## Residuals      3   62.2    20.7                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14377.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3304.5  3304.5   159.1 0.001075 **
## Residuals      3   62.3    20.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14407.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3318.4  3318.4  159.45 0.001071 **
## Residuals      3   62.4    20.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14437.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3332.4  3332.4   159.8 0.001068 **
## Residuals      3   62.6    20.9                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14468.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3346.4  3346.4  160.14 0.001064 **
## Residuals      3   62.7    20.9                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14498.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3360.4  3360.4  160.49 0.001061 **
## Residuals      3   62.8    20.9                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14528.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3374.4  3374.4  160.83 0.001058 **
## Residuals      3   62.9    21.0                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14558.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3388.5  3388.5  161.17 0.001054 **
## Residuals      3   63.1    21.0                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14589.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3402.6  3402.6  161.52 0.001051 **
## Residuals      3   63.2    21.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14619.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3416.7  3416.7  161.86 0.001048 **
## Residuals      3   63.3    21.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14649.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3430.8  3430.8   162.2 0.001044 **
## Residuals      3   63.5    21.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14679.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3445.0  3445.0  162.55 0.001041 **
## Residuals      3   63.6    21.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14710.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3459.2  3459.2  162.89 0.001038 **
## Residuals      3   63.7    21.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14740.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3473.5  3473.5  163.23 0.001035 **
## Residuals      3   63.8    21.3                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14770.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3487.7  3487.7  163.57 0.001031 **
## Residuals      3   64.0    21.3                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14800.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3502.0  3502.0  163.91 0.001028 **
## Residuals      3   64.1    21.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14831.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3516.4  3516.4  164.26 0.001025 **
## Residuals      3   64.2    21.4                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14861.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3530.7  3530.7   164.6 0.001022 **
## Residuals      3   64.4    21.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14891.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3545.1  3545.1  164.94 0.001019 **
## Residuals      3   64.5    21.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14921.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3559.5  3559.5  165.28 0.001016 **
## Residuals      3   64.6    21.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14952.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3574.0  3574.0  165.61 0.001013 **
## Residuals      3   64.7    21.6                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 14982.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)   
## Nonadditivity  1 3588.4  3588.4  165.95 0.00101 **
## Residuals      3   64.9    21.6                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15012.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3602.9  3602.9  166.29 0.001007 **
## Residuals      3   65.0    21.7                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15042.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3617.5  3617.5  166.63 0.001004 **
## Residuals      3   65.1    21.7                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15073.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)   
## Nonadditivity  1 3632.0  3632.0  166.97 0.001001 **
## Residuals      3   65.3    21.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15103.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3646.6  3646.6   167.3 0.0009976 ***
## Residuals      3   65.4    21.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15133.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3661.2  3661.2  167.64 0.0009946 ***
## Residuals      3   65.5    21.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15163.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3675.9  3675.9  167.98 0.0009917 ***
## Residuals      3   65.6    21.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15194.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3690.6  3690.6  168.31 0.0009887 ***
## Residuals      3   65.8    21.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15224.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3705.3  3705.3  168.65 0.0009858 ***
## Residuals      3   65.9    22.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15254.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1   3720    3720  168.99 0.0009829 ***
## Residuals      3     66      22                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15284.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 3734.8  3734.8  169.32 0.00098 ***
## Residuals      3   66.2    22.1                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15315.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3749.6  3749.6  169.66 0.0009772 ***
## Residuals      3   66.3    22.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15345.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3764.4  3764.4  169.99 0.0009743 ***
## Residuals      3   66.4    22.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15375.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3779.3  3779.3  170.32 0.0009715 ***
## Residuals      3   66.6    22.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15405.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3794.1  3794.1  170.66 0.0009687 ***
## Residuals      3   66.7    22.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15436.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3809.1  3809.1  170.99 0.0009659 ***
## Residuals      3   66.8    22.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15466.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1   3824  3824.0  171.32 0.0009632 ***
## Residuals      3     67    22.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15496.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3839.0  3839.0  171.66 0.0009604 ***
## Residuals      3   67.1    22.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15526.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3854.0  3854.0  171.99 0.0009577 ***
## Residuals      3   67.2    22.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15556.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3869.0  3869.0  172.32 0.0009549 ***
## Residuals      3   67.4    22.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15587.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3884.1  3884.1  172.65 0.0009522 ***
## Residuals      3   67.5    22.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15617.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3899.2  3899.2  172.98 0.0009495 ***
## Residuals      3   67.6    22.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15647.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3914.3  3914.3  173.31 0.0009468 ***
## Residuals      3   67.8    22.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15677.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3929.4  3929.4  173.64 0.0009442 ***
## Residuals      3   67.9    22.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15708.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3944.6  3944.6  173.97 0.0009415 ***
## Residuals      3   68.0    22.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15738.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3959.8  3959.8   174.3 0.0009389 ***
## Residuals      3   68.2    22.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15768.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3975.0  3975.0  174.63 0.0009363 ***
## Residuals      3   68.3    22.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15798.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 3990.3  3990.3  174.96 0.0009337 ***
## Residuals      3   68.4    22.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15829.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4005.6  4005.6  175.29 0.0009311 ***
## Residuals      3   68.6    22.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15859.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4020.9  4020.9  175.61 0.0009285 ***
## Residuals      3   68.7    22.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15889.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4036.3  4036.3  175.94 0.000926 ***
## Residuals      3   68.8    22.9                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15919.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4051.6  4051.6  176.27 0.0009234 ***
## Residuals      3   69.0    23.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15950.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4067.1  4067.1   176.6 0.0009209 ***
## Residuals      3   69.1    23.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 15980.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4082.5  4082.5  176.92 0.0009184 ***
## Residuals      3   69.2    23.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16010.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4098.0  4098.0  177.25 0.0009159 ***
## Residuals      3   69.4    23.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16040.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4113.5  4113.5  177.57 0.0009134 ***
## Residuals      3   69.5    23.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16071.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4129.0  4129.0   177.9 0.000911 ***
## Residuals      3   69.6    23.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16101.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4144.5  4144.5  178.22 0.0009085 ***
## Residuals      3   69.8    23.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16131.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4160.1  4160.1  178.55 0.0009061 ***
## Residuals      3   69.9    23.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16161.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4175.7  4175.7  178.87 0.0009036 ***
## Residuals      3   70.0    23.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16192.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4191.4  4191.4  179.19 0.0009012 ***
## Residuals      3   70.2    23.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16222.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4207.1  4207.1  179.52 0.0008988 ***
## Residuals      3   70.3    23.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16252.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4222.8  4222.8  179.84 0.0008964 ***
## Residuals      3   70.4    23.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16282.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4238.5  4238.5  180.16 0.000894 ***
## Residuals      3   70.6    23.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16313.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4254.3  4254.3  180.49 0.0008917 ***
## Residuals      3   70.7    23.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16343.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4270.1  4270.1  180.81 0.0008893 ***
## Residuals      3   70.8    23.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16373.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4285.9  4285.9  181.13 0.000887 ***
## Residuals      3   71.0    23.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16403.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4301.7  4301.7  181.45 0.0008847 ***
## Residuals      3   71.1    23.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16434.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4317.6  4317.6  181.77 0.0008824 ***
## Residuals      3   71.3    23.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16464.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4333.5  4333.5  182.09 0.0008801 ***
## Residuals      3   71.4    23.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16494.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4349.4  4349.4  182.41 0.0008778 ***
## Residuals      3   71.5    23.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16524.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4365.4  4365.4  182.73 0.0008755 ***
## Residuals      3   71.7    23.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16555.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4381.4  4381.4  183.05 0.0008733 ***
## Residuals      3   71.8    23.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16585.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4397.4  4397.4  183.37 0.000871 ***
## Residuals      3   71.9    24.0                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16615.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4413.5  4413.5  183.69 0.0008688 ***
## Residuals      3   72.1    24.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16645.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4429.6  4429.6     184 0.0008666 ***
## Residuals      3   72.2    24.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16676.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4445.7  4445.7  184.32 0.0008644 ***
## Residuals      3   72.4    24.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16706.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4461.8  4461.8  184.64 0.0008622 ***
## Residuals      3   72.5    24.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16736.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 4478.0  4478.0  184.95 0.00086 ***
## Residuals      3   72.6    24.2                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16766.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4494.2  4494.2  185.27 0.0008578 ***
## Residuals      3   72.8    24.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16797.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4510.4  4510.4  185.59 0.0008556 ***
## Residuals      3   72.9    24.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16827.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4526.7  4526.7   185.9 0.0008535 ***
## Residuals      3   73.0    24.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16857.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4543.0  4543.0  186.22 0.0008513 ***
## Residuals      3   73.2    24.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16887.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4559.3  4559.3  186.53 0.0008492 ***
## Residuals      3   73.3    24.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16918.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4575.6  4575.6  186.85 0.0008471 ***
## Residuals      3   73.5    24.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16948.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4592.0  4592.0  187.16 0.000845 ***
## Residuals      3   73.6    24.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 16978.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4608.4  4608.4  187.48 0.0008429 ***
## Residuals      3   73.7    24.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17008.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4624.8  4624.8  187.79 0.0008408 ***
## Residuals      3   73.9    24.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17039.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4641.3  4641.3   188.1 0.0008387 ***
## Residuals      3   74.0    24.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17069.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4657.8  4657.8  188.41 0.0008367 ***
## Residuals      3   74.2    24.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17099.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4674.3  4674.3  188.73 0.0008346 ***
## Residuals      3   74.3    24.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17129.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4690.9  4690.9  189.04 0.0008326 ***
## Residuals      3   74.4    24.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17160.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4707.5  4707.5  189.35 0.0008306 ***
## Residuals      3   74.6    24.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17190.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4724.1  4724.1  189.66 0.0008286 ***
## Residuals      3   74.7    24.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17220.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4740.7  4740.7  189.97 0.0008265 ***
## Residuals      3   74.9    25.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17250.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4757.4  4757.4  190.28 0.0008246 ***
## Residuals      3   75.0    25.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17281.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4774.1  4774.1  190.59 0.0008226 ***
## Residuals      3   75.1    25.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17311.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4790.8  4790.8   190.9 0.0008206 ***
## Residuals      3   75.3    25.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17341.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4807.5  4807.5  191.21 0.0008186 ***
## Residuals      3   75.4    25.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17371.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4824.3  4824.3  191.52 0.0008167 ***
## Residuals      3   75.6    25.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17402.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4841.1  4841.1  191.83 0.0008147 ***
## Residuals      3   75.7    25.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17432.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4858.0  4858.0  192.14 0.0008128 ***
## Residuals      3   75.9    25.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17462.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4874.9  4874.9  192.44 0.0008109 ***
## Residuals      3   76.0    25.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17492.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4891.8  4891.8  192.75 0.0008089 ***
## Residuals      3   76.1    25.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17523.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 4908.7  4908.7  193.06 0.000807 ***
## Residuals      3   76.3    25.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17553.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4925.7  4925.7  193.37 0.0008051 ***
## Residuals      3   76.4    25.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17583.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4942.6  4942.6  193.67 0.0008033 ***
## Residuals      3   76.6    25.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17613.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4959.7  4959.7  193.98 0.0008014 ***
## Residuals      3   76.7    25.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17644.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4976.7  4976.7  194.28 0.0007995 ***
## Residuals      3   76.8    25.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17674.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 4993.8  4993.8  194.59 0.0007977 ***
## Residuals      3   77.0    25.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17704.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5010.9  5010.9  194.89 0.0007958 ***
## Residuals      3   77.1    25.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17734.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5028.0  5028.0   195.2 0.000794 ***
## Residuals      3   77.3    25.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17765
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5045.2  5045.2   195.5 0.0007921 ***
## Residuals      3   77.4    25.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17795.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5062.4  5062.4  195.81 0.0007903 ***
## Residuals      3   77.6    25.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17825.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5079.6  5079.6  196.11 0.0007885 ***
## Residuals      3   77.7    25.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17855.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5096.9  5096.9  196.41 0.0007867 ***
## Residuals      3   77.8    25.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17885.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5114.2  5114.2  196.71 0.0007849 ***
## Residuals      3   78.0    26.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17916.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5131.5  5131.5  197.02 0.0007831 ***
## Residuals      3   78.1    26.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17946.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5148.8  5148.8  197.32 0.0007814 ***
## Residuals      3   78.3    26.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 17976.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5166.2  5166.2  197.62 0.0007796 ***
## Residuals      3   78.4    26.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18006.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5183.6  5183.6  197.92 0.0007778 ***
## Residuals      3   78.6    26.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18037.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5201.0  5201.0  198.22 0.0007761 ***
## Residuals      3   78.7    26.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18067.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5218.5  5218.5  198.52 0.0007743 ***
## Residuals      3   78.9    26.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18097.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5235.9  5235.9  198.82 0.0007726 ***
## Residuals      3   79.0    26.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18127.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5253.5  5253.5  199.12 0.0007709 ***
## Residuals      3   79.1    26.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18158.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5271.0  5271.0  199.42 0.0007692 ***
## Residuals      3   79.3    26.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18188.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5288.6  5288.6  199.72 0.0007675 ***
## Residuals      3   79.4    26.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18218.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5306.2  5306.2  200.02 0.0007658 ***
## Residuals      3   79.6    26.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18248.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5323.8  5323.8  200.32 0.0007641 ***
## Residuals      3   79.7    26.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18279.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5341.5  5341.5  200.62 0.0007624 ***
## Residuals      3   79.9    26.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18309.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5359.2  5359.2  200.91 0.0007607 ***
## Residuals      3   80.0    26.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18339.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5376.9  5376.9  201.21 0.0007591 ***
## Residuals      3   80.2    26.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18369.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5394.6  5394.6  201.51 0.0007574 ***
## Residuals      3   80.3    26.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18400.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5412.4  5412.4   201.8 0.0007558 ***
## Residuals      3   80.5    26.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18430.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5430.2  5430.2   202.1 0.0007541 ***
## Residuals      3   80.6    26.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18460.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5448.1  5448.1  202.39 0.0007525 ***
## Residuals      3   80.8    26.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18490.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5465.9  5465.9  202.69 0.0007509 ***
## Residuals      3   80.9    27.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18521.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5483.8  5483.8  202.99 0.0007492 ***
## Residuals      3   81.0    27.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18551.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5501.8  5501.8  203.28 0.0007476 ***
## Residuals      3   81.2    27.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18581.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5519.7  5519.7  203.57 0.000746 ***
## Residuals      3   81.3    27.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18611.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5537.7  5537.7  203.87 0.0007444 ***
## Residuals      3   81.5    27.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18642.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5555.7  5555.7  204.16 0.0007429 ***
## Residuals      3   81.6    27.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18672.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5573.8  5573.8  204.45 0.0007413 ***
## Residuals      3   81.8    27.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18702.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5591.8  5591.8  204.75 0.0007397 ***
## Residuals      3   81.9    27.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18732.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5609.9  5609.9  205.04 0.0007381 ***
## Residuals      3   82.1    27.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18763.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5628.1  5628.1  205.33 0.0007366 ***
## Residuals      3   82.2    27.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18793.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5646.2  5646.2  205.62 0.000735 ***
## Residuals      3   82.4    27.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18823.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5664.4  5664.4  205.91 0.0007335 ***
## Residuals      3   82.5    27.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18853.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5682.6  5682.6  206.21 0.000732 ***
## Residuals      3   82.7    27.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18884.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5700.9  5700.9   206.5 0.0007304 ***
## Residuals      3   82.8    27.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18914.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5719.2  5719.2  206.79 0.0007289 ***
## Residuals      3   83.0    27.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18944.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5737.5  5737.5  207.08 0.0007274 ***
## Residuals      3   83.1    27.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 18974.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5755.8  5755.8  207.37 0.0007259 ***
## Residuals      3   83.3    27.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19005.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5774.2  5774.2  207.66 0.0007244 ***
## Residuals      3   83.4    27.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19035.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5792.6  5792.6  207.94 0.0007229 ***
## Residuals      3   83.6    27.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19065.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5811.0  5811.0  208.23 0.0007214 ***
## Residuals      3   83.7    27.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19095.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5829.4  5829.4  208.52 0.0007199 ***
## Residuals      3   83.9    28.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19126.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5847.9  5847.9  208.81 0.0007185 ***
## Residuals      3   84.0    28.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19156.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 5866.4  5866.4   209.1 0.000717 ***
## Residuals      3   84.2    28.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19186.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5885.0  5885.0  209.38 0.0007156 ***
## Residuals      3   84.3    28.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19216.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5903.5  5903.5  209.67 0.0007141 ***
## Residuals      3   84.5    28.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19247.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5922.1  5922.1  209.96 0.0007127 ***
## Residuals      3   84.6    28.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19277.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5940.8  5940.8  210.24 0.0007112 ***
## Residuals      3   84.8    28.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19307.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5959.4  5959.4  210.53 0.0007098 ***
## Residuals      3   84.9    28.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19337.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5978.1  5978.1  210.81 0.0007084 ***
## Residuals      3   85.1    28.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19368.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 5996.8  5996.8   211.1 0.0007069 ***
## Residuals      3   85.2    28.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19398.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6015.6  6015.6  211.38 0.0007055 ***
## Residuals      3   85.4    28.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19428.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6034.3  6034.3  211.67 0.0007041 ***
## Residuals      3   85.5    28.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19458.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6053.1  6053.1  211.95 0.0007027 ***
## Residuals      3   85.7    28.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19489.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6072.0  6072.0  212.24 0.0007013 ***
## Residuals      3   85.8    28.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19519.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value Pr(>F)    
## Nonadditivity  1 6090.8  6090.8  212.52  7e-04 ***
## Residuals      3   86.0    28.7                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19549.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6109.7  6109.7   212.8 0.0006986 ***
## Residuals      3   86.1    28.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19579.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6128.6  6128.6  213.08 0.0006972 ***
## Residuals      3   86.3    28.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19610.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6147.6  6147.6  213.37 0.0006958 ***
## Residuals      3   86.4    28.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19640.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6166.6  6166.6  213.65 0.0006945 ***
## Residuals      3   86.6    28.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19670.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6185.6  6185.6  213.93 0.0006931 ***
## Residuals      3   86.7    28.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19700.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6204.6  6204.6  214.21 0.0006918 ***
## Residuals      3   86.9    29.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19731.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6223.7  6223.7  214.49 0.0006904 ***
## Residuals      3   87.0    29.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19761.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6242.8  6242.8  214.77 0.0006891 ***
## Residuals      3   87.2    29.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19791.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6261.9  6261.9  215.05 0.0006878 ***
## Residuals      3   87.4    29.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19821.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6281.1  6281.1  215.33 0.0006864 ***
## Residuals      3   87.5    29.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19852.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6300.2  6300.2  215.61 0.0006851 ***
## Residuals      3   87.7    29.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19882.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6319.5  6319.5  215.89 0.0006838 ***
## Residuals      3   87.8    29.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19912.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6338.7  6338.7  216.17 0.0006825 ***
## Residuals      3   88.0    29.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19942.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6358.0  6358.0  216.45 0.0006812 ***
## Residuals      3   88.1    29.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 19973.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6377.3  6377.3  216.72 0.0006799 ***
## Residuals      3   88.3    29.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20003.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6396.6  6396.6     217 0.0006786 ***
## Residuals      3   88.4    29.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20033.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6416.0  6416.0  217.28 0.0006773 ***
## Residuals      3   88.6    29.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20063.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 6435.4  6435.4  217.56 0.000676 ***
## Residuals      3   88.7    29.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20094
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6454.8  6454.8  217.83 0.0006748 ***
## Residuals      3   88.9    29.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20124.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6474.2  6474.2  218.11 0.0006735 ***
## Residuals      3   89.0    29.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20154.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6493.7  6493.7  218.39 0.0006722 ***
## Residuals      3   89.2    29.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20184.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 6513.2  6513.2  218.66 0.000671 ***
## Residuals      3   89.4    29.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20214.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6532.7  6532.7  218.94 0.0006697 ***
## Residuals      3   89.5    29.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20245.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6552.3  6552.3  219.21 0.0006685 ***
## Residuals      3   89.7    29.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20275.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6571.9  6571.9  219.49 0.0006672 ***
## Residuals      3   89.8    29.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20305.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 6591.5  6591.5  219.76 0.000666 ***
## Residuals      3   90.0    30.0                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20335.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6611.2  6611.2  220.03 0.0006648 ***
## Residuals      3   90.1    30.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20366.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6630.8  6630.8  220.31 0.0006635 ***
## Residuals      3   90.3    30.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20396.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6650.6  6650.6  220.58 0.0006623 ***
## Residuals      3   90.5    30.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20426.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6670.3  6670.3  220.85 0.0006611 ***
## Residuals      3   90.6    30.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20456.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6690.1  6690.1  221.13 0.0006599 ***
## Residuals      3   90.8    30.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20487.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6709.9  6709.9   221.4 0.0006587 ***
## Residuals      3   90.9    30.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20517.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6729.7  6729.7  221.67 0.0006575 ***
## Residuals      3   91.1    30.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20547.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6749.5  6749.5  221.94 0.0006563 ***
## Residuals      3   91.2    30.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20577.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6769.4  6769.4  222.21 0.0006551 ***
## Residuals      3   91.4    30.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20608.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6789.3  6789.3  222.48 0.0006539 ***
## Residuals      3   91.5    30.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20638.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6809.3  6809.3  222.76 0.0006528 ***
## Residuals      3   91.7    30.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20668.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6829.3  6829.3  223.03 0.0006516 ***
## Residuals      3   91.9    30.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20698.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6849.3  6849.3   223.3 0.0006504 ***
## Residuals      3   92.0    30.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20729.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6869.3  6869.3  223.57 0.0006493 ***
## Residuals      3   92.2    30.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20759.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6889.4  6889.4  223.83 0.0006481 ***
## Residuals      3   92.3    30.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20789.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6909.4  6909.4   224.1 0.0006469 ***
## Residuals      3   92.5    30.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20819.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6929.6  6929.6  224.37 0.0006458 ***
## Residuals      3   92.7    30.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20850.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6949.7  6949.7  224.64 0.0006446 ***
## Residuals      3   92.8    30.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20880.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6969.9  6969.9  224.91 0.0006435 ***
## Residuals      3   93.0    31.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20910.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 6990.1  6990.1  225.18 0.0006424 ***
## Residuals      3   93.1    31.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20940.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7010.3  7010.3  225.44 0.0006412 ***
## Residuals      3   93.3    31.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 20971.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7030.6  7030.6  225.71 0.0006401 ***
## Residuals      3   93.4    31.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21001.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7050.9  7050.9  225.98 0.000639 ***
## Residuals      3   93.6    31.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21031.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7071.2  7071.2  226.24 0.0006379 ***
## Residuals      3   93.8    31.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21061.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7091.6  7091.6  226.51 0.0006368 ***
## Residuals      3   93.9    31.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21092.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7112.0  7112.0  226.77 0.0006357 ***
## Residuals      3   94.1    31.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21122.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7132.4  7132.4  227.04 0.0006346 ***
## Residuals      3   94.2    31.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21152.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7152.8  7152.8   227.3 0.0006335 ***
## Residuals      3   94.4    31.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21182.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7173.3  7173.3  227.57 0.0006324 ***
## Residuals      3   94.6    31.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21213.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7193.8  7193.8  227.83 0.0006313 ***
## Residuals      3   94.7    31.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21243.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7214.3  7214.3   228.1 0.0006302 ***
## Residuals      3   94.9    31.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21273.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7234.9  7234.9  228.36 0.0006291 ***
## Residuals      3   95.0    31.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21303.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7255.5  7255.5  228.62 0.000628 ***
## Residuals      3   95.2    31.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21334.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7276.1  7276.1  228.89 0.000627 ***
## Residuals      3   95.4    31.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21364.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7296.7  7296.7  229.15 0.0006259 ***
## Residuals      3   95.5    31.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21394.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7317.4  7317.4  229.41 0.0006248 ***
## Residuals      3   95.7    31.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21424.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7338.1  7338.1  229.67 0.0006238 ***
## Residuals      3   95.9    32.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21455.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7358.8  7358.8  229.94 0.0006227 ***
## Residuals      3   96.0    32.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21485.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7379.6  7379.6   230.2 0.0006217 ***
## Residuals      3   96.2    32.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21515.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7400.4  7400.4  230.46 0.0006206 ***
## Residuals      3   96.3    32.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21545.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7421.2  7421.2  230.72 0.0006196 ***
## Residuals      3   96.5    32.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21576.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7442.1  7442.1  230.98 0.0006186 ***
## Residuals      3   96.7    32.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21606.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7462.9  7462.9  231.24 0.0006175 ***
## Residuals      3   96.8    32.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21636.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7483.9  7483.9   231.5 0.0006165 ***
## Residuals      3   97.0    32.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21666.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7504.8  7504.8  231.76 0.0006155 ***
## Residuals      3   97.1    32.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21697.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7525.8  7525.8  232.02 0.0006145 ***
## Residuals      3   97.3    32.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21727.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7546.8  7546.8  232.28 0.0006134 ***
## Residuals      3   97.5    32.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21757.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7567.8  7567.8  232.53 0.0006124 ***
## Residuals      3   97.6    32.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21787.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7588.8  7588.8  232.79 0.0006114 ***
## Residuals      3   97.8    32.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21818.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7609.9  7609.9  233.05 0.0006104 ***
## Residuals      3   98.0    32.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21848.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7631.0  7631.0  233.31 0.0006094 ***
## Residuals      3   98.1    32.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21878.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7652.2  7652.2  233.56 0.0006084 ***
## Residuals      3   98.3    32.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21908.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7673.4  7673.4  233.82 0.0006074 ***
## Residuals      3   98.5    32.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21939.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7694.6  7694.6  234.08 0.0006064 ***
## Residuals      3   98.6    32.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21969.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7715.8  7715.8  234.33 0.0006055 ***
## Residuals      3   98.8    32.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 21999.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7737.0    7737  234.59 0.0006045 ***
## Residuals      3   98.9      33                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22029.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7758.3  7758.3  234.85 0.0006035 ***
## Residuals      3   99.1    33.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22060.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7779.7  7779.7   235.1 0.0006025 ***
## Residuals      3   99.3    33.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22090.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7801.0  7801.0  235.36 0.0006016 ***
## Residuals      3   99.4    33.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22120.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7822.4  7822.4  235.61 0.0006006 ***
## Residuals      3   99.6    33.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22150.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7843.8  7843.8  235.87 0.0005996 ***
## Residuals      3   99.8    33.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22181.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7865.2  7865.2  236.12 0.0005987 ***
## Residuals      3   99.9    33.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22211.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7886.7  7886.7  236.37 0.0005977 ***
## Residuals      3  100.1    33.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22241.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7908.2  7908.2  236.63 0.0005968 ***
## Residuals      3  100.3    33.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22271.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7929.7  7929.7  236.88 0.0005958 ***
## Residuals      3  100.4    33.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22302.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7951.3  7951.3  237.13 0.0005949 ***
## Residuals      3  100.6    33.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22332.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 7972.8  7972.8  237.38 0.0005939 ***
## Residuals      3  100.8    33.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22362.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 7994.5  7994.5  237.64 0.000593 ***
## Residuals      3  100.9    33.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22392.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8016.1  8016.1  237.89 0.0005921 ***
## Residuals      3  101.1    33.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22423
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8037.8  8037.8  238.14 0.0005911 ***
## Residuals      3  101.3    33.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22453.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8059.5  8059.5  238.39 0.0005902 ***
## Residuals      3  101.4    33.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22483.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8081.2  8081.2  238.64 0.0005893 ***
## Residuals      3  101.6    33.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22513.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8102.9  8102.9  238.89 0.0005884 ***
## Residuals      3  101.8    33.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22543.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8124.7  8124.7  239.14 0.0005875 ***
## Residuals      3  101.9    34.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22574.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8146.6  8146.6  239.39 0.0005866 ***
## Residuals      3  102.1    34.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22604.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8168.4  8168.4  239.64 0.0005857 ***
## Residuals      3  102.3    34.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22634.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8190.3  8190.3  239.89 0.0005847 ***
## Residuals      3  102.4    34.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22664.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8212.2  8212.2  240.14 0.0005838 ***
## Residuals      3  102.6    34.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22695.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8234.1  8234.1  240.39 0.0005829 ***
## Residuals      3  102.8    34.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22725.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8256.1  8256.1  240.64 0.0005821 ***
## Residuals      3  102.9    34.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22755.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8278.1  8278.1  240.89 0.0005812 ***
## Residuals      3  103.1    34.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22785.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8300.1  8300.1  241.13 0.0005803 ***
## Residuals      3  103.3    34.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22816.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8322.1  8322.1  241.38 0.0005794 ***
## Residuals      3  103.4    34.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22846.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8344.2  8344.2  241.63 0.0005785 ***
## Residuals      3  103.6    34.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22876.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8366.3  8366.3  241.88 0.0005776 ***
## Residuals      3  103.8    34.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22906.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8388.5  8388.5  242.12 0.0005768 ***
## Residuals      3  103.9    34.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22937.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8410.6  8410.6  242.37 0.0005759 ***
## Residuals      3  104.1    34.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22967.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8432.8  8432.8  242.61 0.000575 ***
## Residuals      3  104.3    34.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 22997.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8455.0  8455.0  242.86 0.0005742 ***
## Residuals      3  104.4    34.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23027.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8477.3  8477.3  243.11 0.0005733 ***
## Residuals      3  104.6    34.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23058.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8499.6  8499.6  243.35 0.0005724 ***
## Residuals      3  104.8    34.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23088.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8521.9  8521.9   243.6 0.0005716 ***
## Residuals      3  105.0    35.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23118.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8544.2  8544.2  243.84 0.0005707 ***
## Residuals      3  105.1    35.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23148.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8566.6  8566.6  244.08 0.0005699 ***
## Residuals      3  105.3    35.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23179.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8589.0  8589.0  244.33 0.000569 ***
## Residuals      3  105.5    35.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23209.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8611.4  8611.4  244.57 0.0005682 ***
## Residuals      3  105.6    35.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23239.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8633.9  8633.9  244.82 0.0005674 ***
## Residuals      3  105.8    35.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23269.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8656.4  8656.4  245.06 0.0005665 ***
## Residuals      3  106.0    35.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23300.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8678.9  8678.9   245.3 0.0005657 ***
## Residuals      3  106.1    35.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23330.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8701.5  8701.5  245.54 0.0005649 ***
## Residuals      3  106.3    35.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23360.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 8724.0  8724.0  245.79 0.000564 ***
## Residuals      3  106.5    35.5                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23390.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8746.6  8746.6  246.03 0.0005632 ***
## Residuals      3  106.7    35.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23421.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8769.3  8769.3  246.27 0.0005624 ***
## Residuals      3  106.8    35.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23451.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8791.9  8791.9  246.51 0.0005616 ***
## Residuals      3  107.0    35.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23481.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8814.6  8814.6  246.75 0.0005608 ***
## Residuals      3  107.2    35.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23511.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 8837.4  8837.4  246.99 0.00056 ***
## Residuals      3  107.3    35.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23542.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8860.1  8860.1  247.23 0.0005591 ***
## Residuals      3  107.5    35.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23572.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8882.9  8882.9  247.47 0.0005583 ***
## Residuals      3  107.7    35.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23602.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8905.7  8905.7  247.71 0.0005575 ***
## Residuals      3  107.9    36.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23632.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8928.5  8928.5  247.95 0.0005567 ***
## Residuals      3  108.0    36.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23663.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8951.4  8951.4  248.19 0.0005559 ***
## Residuals      3  108.2    36.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23693.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8974.3  8974.3  248.43 0.0005552 ***
## Residuals      3  108.4    36.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23723.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 8997.2  8997.2  248.67 0.0005544 ***
## Residuals      3  108.5    36.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23753.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9020.2  9020.2  248.91 0.0005536 ***
## Residuals      3  108.7    36.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23784.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9043.2  9043.2  249.14 0.0005528 ***
## Residuals      3  108.9    36.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23814.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 9066.2  9066.2  249.38 0.000552 ***
## Residuals      3  109.1    36.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23844.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9089.2  9089.2  249.62 0.0005512 ***
## Residuals      3  109.2    36.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23874.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9112.3  9112.3  249.86 0.0005504 ***
## Residuals      3  109.4    36.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23905.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9135.4  9135.4  250.09 0.0005497 ***
## Residuals      3  109.6    36.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23935.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9158.6  9158.6  250.33 0.0005489 ***
## Residuals      3  109.8    36.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23965.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9181.7  9181.7  250.56 0.0005481 ***
## Residuals      3  109.9    36.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 23995.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9204.9  9204.9   250.8 0.0005474 ***
## Residuals      3  110.1    36.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24026.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9228.1  9228.1  251.04 0.0005466 ***
## Residuals      3  110.3    36.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24056.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9251.4  9251.4  251.27 0.0005458 ***
## Residuals      3  110.5    36.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24086.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9274.7  9274.7  251.51 0.0005451 ***
## Residuals      3  110.6    36.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24116.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9298.0  9298.0  251.74 0.0005443 ***
## Residuals      3  110.8    36.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24147.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9321.3  9321.3  251.98 0.0005436 ***
## Residuals      3  111.0    37.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24177.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9344.7  9344.7  252.21 0.0005428 ***
## Residuals      3  111.2    37.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24207.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9368.1  9368.1  252.44 0.0005421 ***
## Residuals      3  111.3    37.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24237.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9391.5  9391.5  252.68 0.0005413 ***
## Residuals      3  111.5    37.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24268.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9414.9  9414.9  252.91 0.0005406 ***
## Residuals      3  111.7    37.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24298.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9438.4  9438.4  253.14 0.0005399 ***
## Residuals      3  111.9    37.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24328.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9461.9  9461.9  253.38 0.0005391 ***
## Residuals      3  112.0    37.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24358.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9485.5  9485.5  253.61 0.0005384 ***
## Residuals      3  112.2    37.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24389.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9509.0  9509.0  253.84 0.0005377 ***
## Residuals      3  112.4    37.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24419.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9532.6  9532.6  254.07 0.0005369 ***
## Residuals      3  112.6    37.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24449.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9556.3  9556.3  254.31 0.0005362 ***
## Residuals      3  112.7    37.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24479.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9579.9  9579.9  254.54 0.0005355 ***
## Residuals      3  112.9    37.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24510.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9603.6  9603.6  254.77 0.0005348 ***
## Residuals      3  113.1    37.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24540.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 9627.3  9627.3     255 0.000534 ***
## Residuals      3  113.3    37.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24570.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9651.1  9651.1  255.23 0.0005333 ***
## Residuals      3  113.4    37.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24600.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9674.9  9674.9  255.46 0.0005326 ***
## Residuals      3  113.6    37.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24631.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9698.7  9698.7  255.69 0.0005319 ***
## Residuals      3  113.8    37.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24661.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9722.5  9722.5  255.92 0.0005312 ***
## Residuals      3  114.0    38.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24691.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9746.4  9746.4  256.15 0.0005305 ***
## Residuals      3  114.1    38.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24721.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9770.3  9770.3  256.38 0.0005298 ***
## Residuals      3  114.3    38.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24751.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9794.2  9794.2  256.61 0.0005291 ***
## Residuals      3  114.5    38.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24782.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9818.1  9818.1  256.83 0.0005284 ***
## Residuals      3  114.7    38.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24812.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9842.1  9842.1  257.06 0.0005277 ***
## Residuals      3  114.9    38.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24842.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 9866.1  9866.1  257.29 0.000527 ***
## Residuals      3  115.0    38.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24872.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9890.2  9890.2  257.52 0.0005263 ***
## Residuals      3  115.2    38.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24903.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9914.2  9914.2  257.75 0.0005256 ***
## Residuals      3  115.4    38.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24933.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9938.3  9938.3  257.97 0.0005249 ***
## Residuals      3  115.6    38.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24963.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9962.5  9962.5   258.2 0.0005242 ***
## Residuals      3  115.8    38.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 24993.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 9986.6  9986.6  258.43 0.0005235 ***
## Residuals      3  115.9    38.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25024.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10010.8 10010.8  258.65 0.0005229 ***
## Residuals      3   116.1    38.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25054.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10035.0 10035.0  258.88 0.0005222 ***
## Residuals      3   116.3    38.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25084.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10059.3 10059.3   259.1 0.0005215 ***
## Residuals      3   116.5    38.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25114.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10083.5 10083.5  259.33 0.0005208 ***
## Residuals      3   116.6    38.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25145.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10107.8 10107.8  259.56 0.0005202 ***
## Residuals      3   116.8    38.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25175.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10132   10132  259.78 0.0005195 ***
## Residuals      3    117      39                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25205.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10156.5 10156.5  260.01 0.0005188 ***
## Residuals      3   117.2    39.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25235.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10180.9 10180.9  260.23 0.0005182 ***
## Residuals      3   117.4    39.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25266.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10205.3 10205.3  260.45 0.0005175 ***
## Residuals      3   117.5    39.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25296.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10229.8 10229.8  260.68 0.0005168 ***
## Residuals      3   117.7    39.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25326.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10254.3 10254.3   260.9 0.0005162 ***
## Residuals      3   117.9    39.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25356.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10278.8 10278.8  261.12 0.0005155 ***
## Residuals      3   118.1    39.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25387.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10303.3 10303.3  261.35 0.0005149 ***
## Residuals      3   118.3    39.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25417.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10327.9 10327.9  261.57 0.0005142 ***
## Residuals      3   118.5    39.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25447.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10352.5 10352.5  261.79 0.0005136 ***
## Residuals      3   118.6    39.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25477.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10377.1 10377.1  262.02 0.0005129 ***
## Residuals      3   118.8    39.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25508.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10402 10401.7  262.24 0.0005123 ***
## Residuals      3    119    39.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25538.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10426.4 10426.4  262.46 0.0005116 ***
## Residuals      3   119.2    39.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25568.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10451.1 10451.1  262.68 0.000511 ***
## Residuals      3   119.4    39.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25598.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10475.9 10475.9   262.9 0.0005103 ***
## Residuals      3   119.5    39.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25629.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10500.7 10500.7  263.12 0.0005097 ***
## Residuals      3   119.7    39.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25659.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10525.5   10526  263.34 0.0005091 ***
## Residuals      3   119.9      40                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25689.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10550.3   10550  263.56 0.0005084 ***
## Residuals      3   120.1      40                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25719.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10575.1 10575.1  263.78 0.0005078 ***
## Residuals      3   120.3    40.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25750.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10600.0 10600.0     264 0.0005072 ***
## Residuals      3   120.5    40.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25780.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10624.9 10624.9  264.22 0.0005066 ***
## Residuals      3   120.6    40.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25810.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10649.9 10649.9  264.44 0.0005059 ***
## Residuals      3   120.8    40.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25840.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10675 10674.9  264.66 0.0005053 ***
## Residuals      3    121    40.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25871.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10699.9 10699.9  264.88 0.0005047 ***
## Residuals      3   121.2    40.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25901.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10724.9 10724.9   265.1 0.0005041 ***
## Residuals      3   121.4    40.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25931.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10750.0 10750.0  265.32 0.0005035 ***
## Residuals      3   121.6    40.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25961.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10775.1 10775.1  265.53 0.0005028 ***
## Residuals      3   121.7    40.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 25992.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10800.2 10800.2  265.75 0.0005022 ***
## Residuals      3   121.9    40.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26022.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10825.3 10825.3  265.97 0.0005016 ***
## Residuals      3   122.1    40.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26052.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10850.5 10850.5  266.19 0.000501 ***
## Residuals      3   122.3    40.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26082.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10875.7 10875.7   266.4 0.0005004 ***
## Residuals      3   122.5    40.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26113.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10901.0 10901.0  266.62 0.0004998 ***
## Residuals      3   122.7    40.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26143.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 10926.2 10926.2  266.84 0.0004992 ***
## Residuals      3   122.8    40.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26173.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  10952   10952  267.05 0.0004986 ***
## Residuals      3    123      41                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26203.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 10976.8 10976.8  267.27 0.000498 ***
## Residuals      3   123.2    41.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26234.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11002.2 11002.2  267.48 0.0004974 ***
## Residuals      3   123.4    41.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26264.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11027.6 11027.6   267.7 0.0004968 ***
## Residuals      3   123.6    41.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26294.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11053.0 11053.0  267.92 0.0004962 ***
## Residuals      3   123.8    41.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26324.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11078 11078.4  268.13 0.0004956 ***
## Residuals      3    124    41.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26355.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11103.9 11103.9  268.34 0.000495 ***
## Residuals      3   124.1    41.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26385.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11129.4 11129.4  268.56 0.0004944 ***
## Residuals      3   124.3    41.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26415.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11155.0 11155.0  268.77 0.0004939 ***
## Residuals      3   124.5    41.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26445.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11180.5 11180.5  268.99 0.0004933 ***
## Residuals      3   124.7    41.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26476.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11206.1 11206.1   269.2 0.0004927 ***
## Residuals      3   124.9    41.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26506.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11231.7 11231.7  269.41 0.0004921 ***
## Residuals      3   125.1    41.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26536.55
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11257.4 11257.4  269.63 0.0004915 ***
## Residuals      3   125.3    41.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26566.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11283.0 11283.0  269.84 0.000491 ***
## Residuals      3   125.4    41.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26597.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11308.8 11308.8  270.05 0.0004904 ***
## Residuals      3   125.6    41.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26627.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11334.5 11334.5  270.26 0.0004898 ***
## Residuals      3   125.8    41.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26657.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11360   11360  270.48 0.0004892 ***
## Residuals      3    126      42                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26687.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11386.0 11386.0  270.69 0.0004887 ***
## Residuals      3   126.2    42.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26718.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11411.9 11411.9   270.9 0.0004881 ***
## Residuals      3   126.4    42.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26748.28
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11437.7 11437.7  271.11 0.0004875 ***
## Residuals      3   126.6    42.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26778.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11463.6 11463.6  271.32 0.000487 ***
## Residuals      3   126.8    42.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26808.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11489.5 11489.5  271.53 0.0004864 ***
## Residuals      3   126.9    42.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26839.02
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11515.5 11515.5  271.74 0.0004859 ***
## Residuals      3   127.1    42.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26869.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11541.4 11541.4  271.95 0.0004853 ***
## Residuals      3   127.3    42.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26899.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11567.4 11567.4  272.16 0.0004847 ***
## Residuals      3   127.5    42.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26929.76
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11593.5 11593.5  272.37 0.0004842 ***
## Residuals      3   127.7    42.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26960
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11619.5 11619.5  272.58 0.0004836 ***
## Residuals      3   127.9    42.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 26990.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11645.6 11645.6  272.79 0.0004831 ***
## Residuals      3   128.1    42.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27020.5
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11671.7 11671.7     273 0.0004825 ***
## Residuals      3   128.3    42.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27050.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 11697.9 11697.9  273.21 0.000482 ***
## Residuals      3   128.4    42.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27080.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11724.0 11724.0  273.42 0.0004814 ***
## Residuals      3   128.6    42.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27111.24
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11750.2 11750.2  273.63 0.0004809 ***
## Residuals      3   128.8    42.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27141.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11776   11776  273.83 0.0004803 ***
## Residuals      3    129      43                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27171.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11802.7 11802.7  274.04 0.0004798 ***
## Residuals      3   129.2    43.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27201.98
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11829.0 11829.0  274.25 0.0004793 ***
## Residuals      3   129.4    43.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27232.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11855.3 11855.3  274.46 0.0004787 ***
## Residuals      3   129.6    43.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27262.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11881.7 11881.7  274.66 0.0004782 ***
## Residuals      3   129.8    43.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27292.72
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  11908 11908.1  274.87 0.0004777 ***
## Residuals      3    130    43.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27322.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11934.5 11934.5  275.08 0.0004771 ***
## Residuals      3   130.2    43.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27353.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11960.9 11960.9  275.28 0.0004766 ***
## Residuals      3   130.3    43.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27383.46
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 11987.4 11987.4  275.49 0.0004761 ***
## Residuals      3   130.5    43.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27413.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12013.9 12013.9   275.7 0.0004755 ***
## Residuals      3   130.7    43.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27443.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12040.4 12040.4   275.9 0.000475 ***
## Residuals      3   130.9    43.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27474.2
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12067.0 12067.0  276.11 0.0004745 ***
## Residuals      3   131.1    43.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27504.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12093.5 12093.5  276.31 0.000474 ***
## Residuals      3   131.3    43.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27534.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12120.2 12120.2  276.52 0.0004734 ***
## Residuals      3   131.5    43.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27564.94
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12146.8 12146.8  276.72 0.0004729 ***
## Residuals      3   131.7    43.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27595.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12173.5   12174  276.93 0.0004724 ***
## Residuals      3   131.9      44                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27625.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12200.2   12200  277.13 0.0004719 ***
## Residuals      3   132.1      44                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27655.68
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12226.9 12226.9  277.33 0.0004714 ***
## Residuals      3   132.3    44.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27685.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12253.7 12253.7  277.54 0.0004709 ***
## Residuals      3   132.5    44.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27716.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12280.5 12280.5  277.74 0.0004703 ***
## Residuals      3   132.6    44.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27746.42
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12307.3 12307.3  277.94 0.0004698 ***
## Residuals      3   132.8    44.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27776.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  12334 12334.1  278.15 0.0004693 ***
## Residuals      3    133    44.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27806.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12361.0 12361.0  278.35 0.0004688 ***
## Residuals      3   133.2    44.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27837.16
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12387.9 12387.9  278.55 0.0004683 ***
## Residuals      3   133.4    44.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27867.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12414.8 12414.8  278.75 0.0004678 ***
## Residuals      3   133.6    44.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27897.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12441.8 12441.8  278.96 0.0004673 ***
## Residuals      3   133.8    44.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27927.9
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  12469 12468.8  279.16 0.0004668 ***
## Residuals      3    134    44.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27958.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12495.8 12495.8  279.36 0.0004663 ***
## Residuals      3   134.2    44.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 27988.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12522.9 12522.9  279.56 0.0004658 ***
## Residuals      3   134.4    44.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28018.64
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12549.9 12549.9  279.76 0.0004653 ***
## Residuals      3   134.6    44.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28048.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12577.1 12577.1  279.96 0.0004648 ***
## Residuals      3   134.8    44.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28079.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1  12604   12604  280.16 0.0004643 ***
## Residuals      3    135      45                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28109.38
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12631.4 12631.4  280.36 0.0004638 ***
## Residuals      3   135.2    45.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28139.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12658.6 12658.6  280.56 0.0004633 ***
## Residuals      3   135.4    45.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28169.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12685.8 12685.8  280.76 0.0004628 ***
## Residuals      3   135.6    45.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28200.12
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12713.1 12713.1  280.96 0.0004623 ***
## Residuals      3   135.7    45.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28230.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12740.3 12740.3  281.16 0.0004619 ***
## Residuals      3   135.9    45.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28260.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12767.7 12767.7  281.36 0.0004614 ***
## Residuals      3   136.1    45.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28290.86
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12795.0 12795.0  281.56 0.0004609 ***
## Residuals      3   136.3    45.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28321.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12822.4 12822.4  281.76 0.0004604 ***
## Residuals      3   136.5    45.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28351.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12849.8 12849.8  281.96 0.0004599 ***
## Residuals      3   136.7    45.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28381.6
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12877.2 12877.2  282.15 0.0004594 ***
## Residuals      3   136.9    45.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28411.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12904.7 12904.7  282.35 0.000459 ***
## Residuals      3   137.1    45.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28442.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12932.2 12932.2  282.55 0.0004585 ***
## Residuals      3   137.3    45.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28472.34
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 12959.7 12959.7  282.75 0.000458 ***
## Residuals      3   137.5    45.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28502.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 12987.2 12987.2  282.94 0.0004575 ***
## Residuals      3   137.7    45.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28532.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13014.8   13015  283.14 0.0004571 ***
## Residuals      3   137.9      46                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28563.08
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13042.4   13042  283.34 0.0004566 ***
## Residuals      3   138.1      46                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28593.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13070.1 13070.1  283.53 0.0004561 ***
## Residuals      3   138.3    46.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28623.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13097.7 13097.7  283.73 0.0004556 ***
## Residuals      3   138.5    46.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28653.82
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13125.4 13125.4  283.93 0.0004552 ***
## Residuals      3   138.7    46.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28684.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13153.1 13153.1  284.12 0.0004547 ***
## Residuals      3   138.9    46.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28714.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13180.9 13180.9  284.32 0.0004542 ***
## Residuals      3   139.1    46.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28744.56
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13208.7 13208.7  284.51 0.0004538 ***
## Residuals      3   139.3    46.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28774.8
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13236.5 13236.5  284.71 0.0004533 ***
## Residuals      3   139.5    46.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28805.05
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13264.3 13264.3   284.9 0.0004529 ***
## Residuals      3   139.7    46.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28835.3
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13292.2 13292.2   285.1 0.0004524 ***
## Residuals      3   139.9    46.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28865.54
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13320.1 13320.1  285.29 0.0004519 ***
## Residuals      3   140.1    46.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28895.79
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13348.0 13348.0  285.49 0.0004515 ***
## Residuals      3   140.3    46.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28926.04
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 13376.0 13376.0  285.68 0.000451 ***
## Residuals      3   140.5    46.8                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28956.29
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13404.0 13404.0  285.88 0.0004506 ***
## Residuals      3   140.7    46.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 28986.53
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13432.0   13432  286.07 0.0004501 ***
## Residuals      3   140.9      47                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29016.78
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13460.0   13460  286.26 0.0004497 ***
## Residuals      3   141.1      47                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29047.03
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13488.1 13488.1  286.45 0.0004492 ***
## Residuals      3   141.3    47.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29077.27
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13516.2 13516.2  286.65 0.0004488 ***
## Residuals      3   141.5    47.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29107.52
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13544.4 13544.4  286.84 0.0004483 ***
## Residuals      3   141.7    47.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29137.77
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13572.5 13572.5  287.03 0.0004479 ***
## Residuals      3   141.9    47.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29168.01
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13600.7 13600.7  287.23 0.0004474 ***
## Residuals      3   142.1    47.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29198.26
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 13628.9 13628.9  287.42 0.000447 ***
## Residuals      3   142.3    47.4                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29228.51
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13657.2 13657.2  287.61 0.0004465 ***
## Residuals      3   142.5    47.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29258.75
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13685.5 13685.5   287.8 0.0004461 ***
## Residuals      3   142.7    47.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29289
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13713.8 13713.8  287.99 0.0004457 ***
## Residuals      3   142.9    47.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29319.25
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13742.1 13742.1  288.18 0.0004452 ***
## Residuals      3   143.1    47.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29349.49
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13770.5 13770.5  288.37 0.0004448 ***
## Residuals      3   143.3    47.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29379.74
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13798.9 13798.9  288.56 0.0004443 ***
## Residuals      3   143.5    47.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29409.99
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13827.3 13827.3  288.75 0.0004439 ***
## Residuals      3   143.7    47.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29440.23
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13855.8   13856  288.94 0.0004435 ***
## Residuals      3   143.9      48                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29470.48
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 13884.2   13884  289.13 0.000443 ***
## Residuals      3   144.1      48                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29500.73
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13912.8 13912.8  289.32 0.0004426 ***
## Residuals      3   144.3    48.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29530.97
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13941.3 13941.3  289.51 0.0004422 ***
## Residuals      3   144.5    48.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29561.22
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13969.9 13969.9   289.7 0.0004417 ***
## Residuals      3   144.7    48.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29591.47
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 13998.5 13998.5  289.89 0.0004413 ***
## Residuals      3   144.9    48.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29621.71
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14027.1 14027.1  290.08 0.0004409 ***
## Residuals      3   145.1    48.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29651.96
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14055.8 14055.8  290.27 0.0004405 ***
## Residuals      3   145.3    48.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29682.21
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value  Pr(>F)    
## Nonadditivity  1 14084.5 14084.5  290.46 0.00044 ***
## Residuals      3   145.5    48.5                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29712.45
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14113.2 14113.2  290.65 0.0004396 ***
## Residuals      3   145.7    48.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29742.7
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14141.9 14141.9  290.83 0.0004392 ***
## Residuals      3   145.9    48.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29772.95
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14170.7 14170.7  291.02 0.0004388 ***
## Residuals      3   146.1    48.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29803.19
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14199.5 14199.5  291.21 0.0004383 ***
## Residuals      3   146.3    48.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29833.44
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14228.4 14228.4   291.4 0.0004379 ***
## Residuals      3   146.5    48.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29863.69
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14257.2 14257.2  291.58 0.0004375 ***
## Residuals      3   146.7    48.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29893.93
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14286.1   14286  291.77 0.0004371 ***
## Residuals      3   146.9      49                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29924.18
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14315.0   14315  291.96 0.0004367 ***
## Residuals      3   147.1      49                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29954.43
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14344.0 14344.0  292.14 0.0004363 ***
## Residuals      3   147.3    49.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 29984.67
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14373.0 14373.0  292.33 0.0004358 ***
## Residuals      3   147.5    49.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30014.92
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14402.0 14402.0  292.52 0.0004354 ***
## Residuals      3   147.7    49.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30045.17
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 14431.0 14431.0   292.7 0.000435 ***
## Residuals      3   147.9    49.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30075.41
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14460.1 14460.1  292.89 0.0004346 ***
## Residuals      3   148.1    49.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30105.66
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14489.2 14489.2  293.07 0.0004342 ***
## Residuals      3   148.3    49.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30135.91
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14518.3 14518.3  293.26 0.0004338 ***
## Residuals      3   148.5    49.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30166.15
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14547.5 14547.5  293.44 0.0004334 ***
## Residuals      3   148.7    49.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30196.4
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 14576.7 14576.7  293.63 0.000433 ***
## Residuals      3   148.9    49.6                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30226.65
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14605.9 14605.9  293.81 0.0004326 ***
## Residuals      3   149.1    49.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30256.89
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14635.1 14635.1     294 0.0004322 ***
## Residuals      3   149.3    49.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30287.14
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14664.4 14664.4  294.18 0.0004318 ***
## Residuals      3   149.5    49.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30317.39
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14693.7 14693.7  294.37 0.0004314 ***
## Residuals      3   149.7    49.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30347.63
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1  14723   14723  294.55 0.000431 ***
## Residuals      3    150      50                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30377.88
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14752.4 14752.4  294.73 0.0004306 ***
## Residuals      3   150.2    50.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30408.13
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14781.8 14781.8  294.92 0.0004302 ***
## Residuals      3   150.4    50.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30438.37
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14811.2 14811.2   295.1 0.0004298 ***
## Residuals      3   150.6    50.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30468.62
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14840.7 14840.7  295.28 0.0004294 ***
## Residuals      3   150.8    50.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30498.87
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1  14870 14870.2  295.46 0.000429 ***
## Residuals      3    151    50.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30529.11
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14899.7 14899.7  295.65 0.0004286 ***
## Residuals      3   151.2    50.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30559.36
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14929.2 14929.2  295.83 0.0004282 ***
## Residuals      3   151.4    50.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30589.61
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14958.8 14958.8  296.01 0.0004278 ***
## Residuals      3   151.6    50.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30619.85
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 14988.4 14988.4  296.19 0.0004274 ***
## Residuals      3   151.8    50.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30650.1
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1  15018 15018.0  296.37 0.000427 ***
## Residuals      3    152    50.7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30680.35
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15047.6 15047.6  296.56 0.0004266 ***
## Residuals      3   152.2    50.7                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30710.59
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15077.3 15077.3  296.74 0.0004263 ***
## Residuals      3   152.4    50.8                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30740.84
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15107.0 15107.0  296.92 0.0004259 ***
## Residuals      3   152.6    50.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30771.09
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15136.8 15136.8   297.1 0.0004255 ***
## Residuals      3   152.8    50.9                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30801.33
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15166.6   15167  297.28 0.0004251 ***
## Residuals      3   153.1      51                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30831.58
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15196.4 15196.4  297.46 0.0004247 ***
## Residuals      3   153.3    51.1                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30861.83
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15226.2 15226.2  297.64 0.0004243 ***
## Residuals      3   153.5    51.2                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30892.07
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value   Pr(>F)    
## Nonadditivity  1 15256.1 15256.1  297.82 0.000424 ***
## Residuals      3   153.7    51.2                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30922.32
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15285.9 15285.9     298 0.0004236 ***
## Residuals      3   153.9    51.3                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30952.57
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15315.9 15315.9  298.18 0.0004232 ***
## Residuals      3   154.1    51.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 30982.81
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15345.8 15345.8  298.36 0.0004228 ***
## Residuals      3   154.3    51.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 31013.06
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15375.8 15375.8  298.54 0.0004224 ***
## Residuals      3   154.5    51.5                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Tukey's test of nonadditivity
## y 
## 
## P : 31043.31
## Q : 62553.56 
## 
## Analysis of Variance Table
## 
## Response: residual
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## Nonadditivity  1 15405.8 15405.8  298.72 0.0004221 ***
## Residuals      3   154.7    51.6                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mean(pvalor<0.05)
## [1] 0.9325337
# plot de diferentes tipos de valores de lambda vs o pvalor da função avaliada
#
plot(lambda,pvalor,type='l')
abline(h=0.05, col = 'red')

Estes resultaria em valores que para diferentes tipos de lambda, no qual os valores acima da linha vermelha para lambda estariamos rejeitando a aditividade quando na verdade existe.