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Problema a analizar: Actividad antimicrobiana sobre las bacterias E.coli, Proteus mirabilis, Enterobacter cloacae

Including Plots

Cálculo de ANOVA y el Modelo Lineal

##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## FactorA          3 1.7205  0.5735  28.271 4.77e-08 ***
## FactorB          2 0.1120  0.0560   2.761   0.0834 .  
## FactorA:FactorB  6 0.0726  0.0121   0.597   0.7299    
## Residuals       24 0.4869  0.0203                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## FactorA          3 1.7205  0.5735  28.271 4.77e-08 ***
## FactorB          2 0.1120  0.0560   2.761   0.0834 .  
## FactorA:FactorB  6 0.0726  0.0121   0.597   0.7299    
## Residuals       24 0.4869  0.0203                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Call:
## lm(formula = CMI ~ (FactorA + FactorB + FactorA:FactorB))
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.22667 -0.07417 -0.01500  0.07750  0.24667 
## 
## Coefficients:
##                                            Estimate Std. Error t value Pr(>|t|)
## (Intercept)                                0.993333   0.082232  12.080 1.09e-11
## FactorAMalta                              -0.283333   0.116293  -2.436 0.022628
## FactorAPDB                                -0.020000   0.116293  -0.172 0.864896
## FactorASabouraud                          -0.506667   0.116293  -4.357 0.000213
## FactorBEscherichia coli                    0.080000   0.116293   0.688 0.498100
## FactorBProteus mirabilis                   0.280000   0.116293   2.408 0.024099
## FactorAMalta:FactorBEscherichia coli       0.073333   0.164463   0.446 0.659670
## FactorAPDB:FactorBEscherichia coli        -0.030000   0.164463  -0.182 0.856792
## FactorASabouraud:FactorBEscherichia coli   0.006667   0.164463   0.041 0.968001
## FactorAMalta:FactorBProteus mirabilis     -0.143333   0.164463  -0.872 0.392104
## FactorAPDB:FactorBProteus mirabilis       -0.233333   0.164463  -1.419 0.168827
## FactorASabouraud:FactorBProteus mirabilis -0.210000   0.164463  -1.277 0.213861
##                                              
## (Intercept)                               ***
## FactorAMalta                              *  
## FactorAPDB                                   
## FactorASabouraud                          ***
## FactorBEscherichia coli                      
## FactorBProteus mirabilis                  *  
## FactorAMalta:FactorBEscherichia coli         
## FactorAPDB:FactorBEscherichia coli           
## FactorASabouraud:FactorBEscherichia coli     
## FactorAMalta:FactorBProteus mirabilis        
## FactorAPDB:FactorBProteus mirabilis          
## FactorASabouraud:FactorBProteus mirabilis    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1424 on 24 degrees of freedom
## Multiple R-squared:  0.7965, Adjusted R-squared:  0.7032 
## F-statistic: 8.538 on 11 and 24 DF,  p-value: 6.785e-06

sIGNIFICADO DE LA INTERACCIÓN: interacción entre ambos factores representan el hecho de que el efecto de un determinado nivel de un factor sea diferente para cada nivel del otro factor.

Gráficas de efectos principales e interacciones

## Warning: package 'car' was built under R version 4.4.2
## Cargando paquete requerido: carData
## Warning: package 'carData' was built under R version 4.4.2
## Warning: package 'phia' was built under R version 4.4.3

Supuestos del Diseño Experimental

  1. Normalidad
## 
##  Shapiro-Wilk normality test
## 
## data:  rstandard(Modelo)
## W = 0.97932, p-value = 0.7223
  1. Prueba de homocedasticidad o igualdad de varianzas
## Non-constant Variance Score Test 
## Variance formula: ~ fitted.values 
## Chisquare = 0.3231472, Df = 1, p = 0.56972
  1. Revisión grafica de supuestos

  1. cálculo del efecto (ANOVA)
## Warning: package 'lsr' was built under R version 4.4.3
##                     eta.sq eta.sq.part
## FactorA         0.71927445   0.7794400
## FactorB         0.04682398   0.1870275
## FactorA:FactorB 0.03036672   0.1298269

Pruebas aposteriori(Comparaciones multiples de medias)

library(agricolae)
## Warning: package 'agricolae' was built under R version 4.4.2
TukeyHSD(ANOVA)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Modelo)
## 
## $FactorA
##                         diff         lwr         upr     p adj
## Malta-Czapeck     -0.3066667 -0.49188470 -0.12144864 0.0006766
## PDB-Czapeck       -0.1077778 -0.29299581  0.07744025 0.3946894
## Sabouraud-Czapeck -0.5744444 -0.75966247 -0.38922642 0.0000001
## PDB-Malta          0.1988889  0.01367086  0.38410692 0.0321057
## Sabouraud-Malta   -0.2677778 -0.45299581 -0.08255975 0.0028522
## Sabouraud-PDB     -0.4666667 -0.65188470 -0.28144864 0.0000020
## 
## $FactorB
##                                              diff         lwr       upr
## Escherichia coli-Enterobacter cloacae  0.09250000 -0.05270857 0.2377086
## Proteus mirabilis-Enterobacter cloacae 0.13333333 -0.01187524 0.2785419
## Proteus mirabilis-Escherichia coli     0.04083333 -0.10437524 0.1860419
##                                            p adj
## Escherichia coli-Enterobacter cloacae  0.2688425
## Proteus mirabilis-Enterobacter cloacae 0.0761288
## Proteus mirabilis-Escherichia coli     0.7644766
## 
## $`FactorA:FactorB`
##                                                                     diff
## Malta:Enterobacter cloacae-Czapeck:Enterobacter cloacae     -0.283333333
## PDB:Enterobacter cloacae-Czapeck:Enterobacter cloacae       -0.020000000
## Sabouraud:Enterobacter cloacae-Czapeck:Enterobacter cloacae -0.506666667
## Czapeck:Escherichia coli-Czapeck:Enterobacter cloacae        0.080000000
## Malta:Escherichia coli-Czapeck:Enterobacter cloacae         -0.130000000
## PDB:Escherichia coli-Czapeck:Enterobacter cloacae            0.030000000
## Sabouraud:Escherichia coli-Czapeck:Enterobacter cloacae     -0.420000000
## Czapeck:Proteus mirabilis-Czapeck:Enterobacter cloacae       0.280000000
## Malta:Proteus mirabilis-Czapeck:Enterobacter cloacae        -0.146666667
## PDB:Proteus mirabilis-Czapeck:Enterobacter cloacae           0.026666667
## Sabouraud:Proteus mirabilis-Czapeck:Enterobacter cloacae    -0.436666667
## PDB:Enterobacter cloacae-Malta:Enterobacter cloacae          0.263333333
## Sabouraud:Enterobacter cloacae-Malta:Enterobacter cloacae   -0.223333333
## Czapeck:Escherichia coli-Malta:Enterobacter cloacae          0.363333333
## Malta:Escherichia coli-Malta:Enterobacter cloacae            0.153333333
## PDB:Escherichia coli-Malta:Enterobacter cloacae              0.313333333
## Sabouraud:Escherichia coli-Malta:Enterobacter cloacae       -0.136666667
## Czapeck:Proteus mirabilis-Malta:Enterobacter cloacae         0.563333333
## Malta:Proteus mirabilis-Malta:Enterobacter cloacae           0.136666667
## PDB:Proteus mirabilis-Malta:Enterobacter cloacae             0.310000000
## Sabouraud:Proteus mirabilis-Malta:Enterobacter cloacae      -0.153333333
## Sabouraud:Enterobacter cloacae-PDB:Enterobacter cloacae     -0.486666667
## Czapeck:Escherichia coli-PDB:Enterobacter cloacae            0.100000000
## Malta:Escherichia coli-PDB:Enterobacter cloacae             -0.110000000
## PDB:Escherichia coli-PDB:Enterobacter cloacae                0.050000000
## Sabouraud:Escherichia coli-PDB:Enterobacter cloacae         -0.400000000
## Czapeck:Proteus mirabilis-PDB:Enterobacter cloacae           0.300000000
## Malta:Proteus mirabilis-PDB:Enterobacter cloacae            -0.126666667
## PDB:Proteus mirabilis-PDB:Enterobacter cloacae               0.046666667
## Sabouraud:Proteus mirabilis-PDB:Enterobacter cloacae        -0.416666667
## Czapeck:Escherichia coli-Sabouraud:Enterobacter cloacae      0.586666667
## Malta:Escherichia coli-Sabouraud:Enterobacter cloacae        0.376666667
## PDB:Escherichia coli-Sabouraud:Enterobacter cloacae          0.536666667
## Sabouraud:Escherichia coli-Sabouraud:Enterobacter cloacae    0.086666667
## Czapeck:Proteus mirabilis-Sabouraud:Enterobacter cloacae     0.786666667
## Malta:Proteus mirabilis-Sabouraud:Enterobacter cloacae       0.360000000
## PDB:Proteus mirabilis-Sabouraud:Enterobacter cloacae         0.533333333
## Sabouraud:Proteus mirabilis-Sabouraud:Enterobacter cloacae   0.070000000
## Malta:Escherichia coli-Czapeck:Escherichia coli             -0.210000000
## PDB:Escherichia coli-Czapeck:Escherichia coli               -0.050000000
## Sabouraud:Escherichia coli-Czapeck:Escherichia coli         -0.500000000
## Czapeck:Proteus mirabilis-Czapeck:Escherichia coli           0.200000000
## Malta:Proteus mirabilis-Czapeck:Escherichia coli            -0.226666667
## PDB:Proteus mirabilis-Czapeck:Escherichia coli              -0.053333333
## Sabouraud:Proteus mirabilis-Czapeck:Escherichia coli        -0.516666667
## PDB:Escherichia coli-Malta:Escherichia coli                  0.160000000
## Sabouraud:Escherichia coli-Malta:Escherichia coli           -0.290000000
## Czapeck:Proteus mirabilis-Malta:Escherichia coli             0.410000000
## Malta:Proteus mirabilis-Malta:Escherichia coli              -0.016666667
## PDB:Proteus mirabilis-Malta:Escherichia coli                 0.156666667
## Sabouraud:Proteus mirabilis-Malta:Escherichia coli          -0.306666667
## Sabouraud:Escherichia coli-PDB:Escherichia coli             -0.450000000
## Czapeck:Proteus mirabilis-PDB:Escherichia coli               0.250000000
## Malta:Proteus mirabilis-PDB:Escherichia coli                -0.176666667
## PDB:Proteus mirabilis-PDB:Escherichia coli                  -0.003333333
## Sabouraud:Proteus mirabilis-PDB:Escherichia coli            -0.466666667
## Czapeck:Proteus mirabilis-Sabouraud:Escherichia coli         0.700000000
## Malta:Proteus mirabilis-Sabouraud:Escherichia coli           0.273333333
## PDB:Proteus mirabilis-Sabouraud:Escherichia coli             0.446666667
## Sabouraud:Proteus mirabilis-Sabouraud:Escherichia coli      -0.016666667
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis           -0.426666667
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis             -0.253333333
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis       -0.716666667
## PDB:Proteus mirabilis-Malta:Proteus mirabilis                0.173333333
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis         -0.290000000
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis           -0.463333333
##                                                                      lwr
## Malta:Enterobacter cloacae-Czapeck:Enterobacter cloacae     -0.702642965
## PDB:Enterobacter cloacae-Czapeck:Enterobacter cloacae       -0.439309632
## Sabouraud:Enterobacter cloacae-Czapeck:Enterobacter cloacae -0.925976299
## Czapeck:Escherichia coli-Czapeck:Enterobacter cloacae       -0.339309632
## Malta:Escherichia coli-Czapeck:Enterobacter cloacae         -0.549309632
## PDB:Escherichia coli-Czapeck:Enterobacter cloacae           -0.389309632
## Sabouraud:Escherichia coli-Czapeck:Enterobacter cloacae     -0.839309632
## Czapeck:Proteus mirabilis-Czapeck:Enterobacter cloacae      -0.139309632
## Malta:Proteus mirabilis-Czapeck:Enterobacter cloacae        -0.565976299
## PDB:Proteus mirabilis-Czapeck:Enterobacter cloacae          -0.392642965
## Sabouraud:Proteus mirabilis-Czapeck:Enterobacter cloacae    -0.855976299
## PDB:Enterobacter cloacae-Malta:Enterobacter cloacae         -0.155976299
## Sabouraud:Enterobacter cloacae-Malta:Enterobacter cloacae   -0.642642965
## Czapeck:Escherichia coli-Malta:Enterobacter cloacae         -0.055976299
## Malta:Escherichia coli-Malta:Enterobacter cloacae           -0.265976299
## PDB:Escherichia coli-Malta:Enterobacter cloacae             -0.105976299
## Sabouraud:Escherichia coli-Malta:Enterobacter cloacae       -0.555976299
## Czapeck:Proteus mirabilis-Malta:Enterobacter cloacae         0.144023701
## Malta:Proteus mirabilis-Malta:Enterobacter cloacae          -0.282642965
## PDB:Proteus mirabilis-Malta:Enterobacter cloacae            -0.109309632
## Sabouraud:Proteus mirabilis-Malta:Enterobacter cloacae      -0.572642965
## Sabouraud:Enterobacter cloacae-PDB:Enterobacter cloacae     -0.905976299
## Czapeck:Escherichia coli-PDB:Enterobacter cloacae           -0.319309632
## Malta:Escherichia coli-PDB:Enterobacter cloacae             -0.529309632
## PDB:Escherichia coli-PDB:Enterobacter cloacae               -0.369309632
## Sabouraud:Escherichia coli-PDB:Enterobacter cloacae         -0.819309632
## Czapeck:Proteus mirabilis-PDB:Enterobacter cloacae          -0.119309632
## Malta:Proteus mirabilis-PDB:Enterobacter cloacae            -0.545976299
## PDB:Proteus mirabilis-PDB:Enterobacter cloacae              -0.372642965
## Sabouraud:Proteus mirabilis-PDB:Enterobacter cloacae        -0.835976299
## Czapeck:Escherichia coli-Sabouraud:Enterobacter cloacae      0.167357035
## Malta:Escherichia coli-Sabouraud:Enterobacter cloacae       -0.042642965
## PDB:Escherichia coli-Sabouraud:Enterobacter cloacae          0.117357035
## Sabouraud:Escherichia coli-Sabouraud:Enterobacter cloacae   -0.332642965
## Czapeck:Proteus mirabilis-Sabouraud:Enterobacter cloacae     0.367357035
## Malta:Proteus mirabilis-Sabouraud:Enterobacter cloacae      -0.059309632
## PDB:Proteus mirabilis-Sabouraud:Enterobacter cloacae         0.114023701
## Sabouraud:Proteus mirabilis-Sabouraud:Enterobacter cloacae  -0.349309632
## Malta:Escherichia coli-Czapeck:Escherichia coli             -0.629309632
## PDB:Escherichia coli-Czapeck:Escherichia coli               -0.469309632
## Sabouraud:Escherichia coli-Czapeck:Escherichia coli         -0.919309632
## Czapeck:Proteus mirabilis-Czapeck:Escherichia coli          -0.219309632
## Malta:Proteus mirabilis-Czapeck:Escherichia coli            -0.645976299
## PDB:Proteus mirabilis-Czapeck:Escherichia coli              -0.472642965
## Sabouraud:Proteus mirabilis-Czapeck:Escherichia coli        -0.935976299
## PDB:Escherichia coli-Malta:Escherichia coli                 -0.259309632
## Sabouraud:Escherichia coli-Malta:Escherichia coli           -0.709309632
## Czapeck:Proteus mirabilis-Malta:Escherichia coli            -0.009309632
## Malta:Proteus mirabilis-Malta:Escherichia coli              -0.435976299
## PDB:Proteus mirabilis-Malta:Escherichia coli                -0.262642965
## Sabouraud:Proteus mirabilis-Malta:Escherichia coli          -0.725976299
## Sabouraud:Escherichia coli-PDB:Escherichia coli             -0.869309632
## Czapeck:Proteus mirabilis-PDB:Escherichia coli              -0.169309632
## Malta:Proteus mirabilis-PDB:Escherichia coli                -0.595976299
## PDB:Proteus mirabilis-PDB:Escherichia coli                  -0.422642965
## Sabouraud:Proteus mirabilis-PDB:Escherichia coli            -0.885976299
## Czapeck:Proteus mirabilis-Sabouraud:Escherichia coli         0.280690368
## Malta:Proteus mirabilis-Sabouraud:Escherichia coli          -0.145976299
## PDB:Proteus mirabilis-Sabouraud:Escherichia coli             0.027357035
## Sabouraud:Proteus mirabilis-Sabouraud:Escherichia coli      -0.435976299
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis           -0.845976299
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis             -0.672642965
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis       -1.135976299
## PDB:Proteus mirabilis-Malta:Proteus mirabilis               -0.245976299
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis         -0.709309632
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis           -0.882642965
##                                                                       upr
## Malta:Enterobacter cloacae-Czapeck:Enterobacter cloacae      0.1359762986
## PDB:Enterobacter cloacae-Czapeck:Enterobacter cloacae        0.3993096319
## Sabouraud:Enterobacter cloacae-Czapeck:Enterobacter cloacae -0.0873570347
## Czapeck:Escherichia coli-Czapeck:Enterobacter cloacae        0.4993096319
## Malta:Escherichia coli-Czapeck:Enterobacter cloacae          0.2893096319
## PDB:Escherichia coli-Czapeck:Enterobacter cloacae            0.4493096319
## Sabouraud:Escherichia coli-Czapeck:Enterobacter cloacae     -0.0006903681
## Czapeck:Proteus mirabilis-Czapeck:Enterobacter cloacae       0.6993096319
## Malta:Proteus mirabilis-Czapeck:Enterobacter cloacae         0.2726429653
## PDB:Proteus mirabilis-Czapeck:Enterobacter cloacae           0.4459762986
## Sabouraud:Proteus mirabilis-Czapeck:Enterobacter cloacae    -0.0173570347
## PDB:Enterobacter cloacae-Malta:Enterobacter cloacae          0.6826429653
## Sabouraud:Enterobacter cloacae-Malta:Enterobacter cloacae    0.1959762986
## Czapeck:Escherichia coli-Malta:Enterobacter cloacae          0.7826429653
## Malta:Escherichia coli-Malta:Enterobacter cloacae            0.5726429653
## PDB:Escherichia coli-Malta:Enterobacter cloacae              0.7326429653
## Sabouraud:Escherichia coli-Malta:Enterobacter cloacae        0.2826429653
## Czapeck:Proteus mirabilis-Malta:Enterobacter cloacae         0.9826429653
## Malta:Proteus mirabilis-Malta:Enterobacter cloacae           0.5559762986
## PDB:Proteus mirabilis-Malta:Enterobacter cloacae             0.7293096319
## Sabouraud:Proteus mirabilis-Malta:Enterobacter cloacae       0.2659762986
## Sabouraud:Enterobacter cloacae-PDB:Enterobacter cloacae     -0.0673570347
## Czapeck:Escherichia coli-PDB:Enterobacter cloacae            0.5193096319
## Malta:Escherichia coli-PDB:Enterobacter cloacae              0.3093096319
## PDB:Escherichia coli-PDB:Enterobacter cloacae                0.4693096319
## Sabouraud:Escherichia coli-PDB:Enterobacter cloacae          0.0193096319
## Czapeck:Proteus mirabilis-PDB:Enterobacter cloacae           0.7193096319
## Malta:Proteus mirabilis-PDB:Enterobacter cloacae             0.2926429653
## PDB:Proteus mirabilis-PDB:Enterobacter cloacae               0.4659762986
## Sabouraud:Proteus mirabilis-PDB:Enterobacter cloacae         0.0026429653
## Czapeck:Escherichia coli-Sabouraud:Enterobacter cloacae      1.0059762986
## Malta:Escherichia coli-Sabouraud:Enterobacter cloacae        0.7959762986
## PDB:Escherichia coli-Sabouraud:Enterobacter cloacae          0.9559762986
## Sabouraud:Escherichia coli-Sabouraud:Enterobacter cloacae    0.5059762986
## Czapeck:Proteus mirabilis-Sabouraud:Enterobacter cloacae     1.2059762986
## Malta:Proteus mirabilis-Sabouraud:Enterobacter cloacae       0.7793096319
## PDB:Proteus mirabilis-Sabouraud:Enterobacter cloacae         0.9526429653
## Sabouraud:Proteus mirabilis-Sabouraud:Enterobacter cloacae   0.4893096319
## Malta:Escherichia coli-Czapeck:Escherichia coli              0.2093096319
## PDB:Escherichia coli-Czapeck:Escherichia coli                0.3693096319
## Sabouraud:Escherichia coli-Czapeck:Escherichia coli         -0.0806903681
## Czapeck:Proteus mirabilis-Czapeck:Escherichia coli           0.6193096319
## Malta:Proteus mirabilis-Czapeck:Escherichia coli             0.1926429653
## PDB:Proteus mirabilis-Czapeck:Escherichia coli               0.3659762986
## Sabouraud:Proteus mirabilis-Czapeck:Escherichia coli        -0.0973570347
## PDB:Escherichia coli-Malta:Escherichia coli                  0.5793096319
## Sabouraud:Escherichia coli-Malta:Escherichia coli            0.1293096319
## Czapeck:Proteus mirabilis-Malta:Escherichia coli             0.8293096319
## Malta:Proteus mirabilis-Malta:Escherichia coli               0.4026429653
## PDB:Proteus mirabilis-Malta:Escherichia coli                 0.5759762986
## Sabouraud:Proteus mirabilis-Malta:Escherichia coli           0.1126429653
## Sabouraud:Escherichia coli-PDB:Escherichia coli             -0.0306903681
## Czapeck:Proteus mirabilis-PDB:Escherichia coli               0.6693096319
## Malta:Proteus mirabilis-PDB:Escherichia coli                 0.2426429653
## PDB:Proteus mirabilis-PDB:Escherichia coli                   0.4159762986
## Sabouraud:Proteus mirabilis-PDB:Escherichia coli            -0.0473570347
## Czapeck:Proteus mirabilis-Sabouraud:Escherichia coli         1.1193096319
## Malta:Proteus mirabilis-Sabouraud:Escherichia coli           0.6926429653
## PDB:Proteus mirabilis-Sabouraud:Escherichia coli             0.8659762986
## Sabouraud:Proteus mirabilis-Sabouraud:Escherichia coli       0.4026429653
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis           -0.0073570347
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis              0.1659762986
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis       -0.2973570347
## PDB:Proteus mirabilis-Malta:Proteus mirabilis                0.5926429653
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis          0.1293096319
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis           -0.0440237014
##                                                                 p adj
## Malta:Enterobacter cloacae-Czapeck:Enterobacter cloacae     0.4207538
## PDB:Enterobacter cloacae-Czapeck:Enterobacter cloacae       1.0000000
## Sabouraud:Enterobacter cloacae-Czapeck:Enterobacter cloacae 0.0091123
## Czapeck:Escherichia coli-Czapeck:Enterobacter cloacae       0.9998720
## Malta:Escherichia coli-Czapeck:Enterobacter cloacae         0.9906049
## PDB:Escherichia coli-Czapeck:Enterobacter cloacae           1.0000000
## Sabouraud:Escherichia coli-Czapeck:Enterobacter cloacae     0.0493644
## Czapeck:Proteus mirabilis-Czapeck:Enterobacter cloacae      0.4373856
## Malta:Proteus mirabilis-Czapeck:Enterobacter cloacae        0.9767388
## PDB:Proteus mirabilis-Czapeck:Enterobacter cloacae          1.0000000
## Sabouraud:Proteus mirabilis-Czapeck:Enterobacter cloacae    0.0361061
## PDB:Enterobacter cloacae-Malta:Enterobacter cloacae         0.5241641
## Sabouraud:Enterobacter cloacae-Malta:Enterobacter cloacae   0.7366641
## Czapeck:Escherichia coli-Malta:Enterobacter cloacae         0.1337837
## Malta:Escherichia coli-Malta:Enterobacter cloacae           0.9681875
## PDB:Escherichia coli-Malta:Enterobacter cloacae             0.2864782
## Sabouraud:Escherichia coli-Malta:Enterobacter cloacae       0.9861853
## Czapeck:Proteus mirabilis-Malta:Enterobacter cloacae        0.0028577
## Malta:Proteus mirabilis-Malta:Enterobacter cloacae          0.9861853
## PDB:Proteus mirabilis-Malta:Enterobacter cloacae            0.2998722
## Sabouraud:Proteus mirabilis-Malta:Enterobacter cloacae      0.9681875
## Sabouraud:Enterobacter cloacae-PDB:Enterobacter cloacae     0.0136164
## Czapeck:Escherichia coli-PDB:Enterobacter cloacae           0.9989741
## Malta:Escherichia coli-PDB:Enterobacter cloacae             0.9976277
## PDB:Escherichia coli-PDB:Enterobacter cloacae               0.9999989
## Sabouraud:Escherichia coli-PDB:Enterobacter cloacae         0.0710965
## Czapeck:Proteus mirabilis-PDB:Enterobacter cloacae          0.3424425
## Malta:Proteus mirabilis-PDB:Enterobacter cloacae            0.9923491
## PDB:Proteus mirabilis-PDB:Enterobacter cloacae              0.9999995
## Sabouraud:Proteus mirabilis-PDB:Enterobacter cloacae        0.0525032
## Czapeck:Escherichia coli-Sabouraud:Enterobacter cloacae     0.0017631
## Malta:Escherichia coli-Sabouraud:Enterobacter cloacae       0.1069624
## PDB:Escherichia coli-Sabouraud:Enterobacter cloacae         0.0049471
## Sabouraud:Escherichia coli-Sabouraud:Enterobacter cloacae   0.9997254
## Czapeck:Proteus mirabilis-Sabouraud:Enterobacter cloacae    0.0000291
## Malta:Proteus mirabilis-Sabouraud:Enterobacter cloacae      0.1413089
## PDB:Proteus mirabilis-Sabouraud:Enterobacter cloacae        0.0052966
## Sabouraud:Proteus mirabilis-Sabouraud:Enterobacter cloacae  0.9999654
## Malta:Escherichia coli-Czapeck:Escherichia coli             0.7999826
## PDB:Escherichia coli-Czapeck:Escherichia coli               0.9999989
## Sabouraud:Escherichia coli-Czapeck:Escherichia coli         0.0104237
## Czapeck:Proteus mirabilis-Czapeck:Escherichia coli          0.8424400
## Malta:Proteus mirabilis-Czapeck:Escherichia coli            0.7198731
## PDB:Proteus mirabilis-Czapeck:Escherichia coli              0.9999978
## Sabouraud:Proteus mirabilis-Czapeck:Escherichia coli        0.0074409
## PDB:Escherichia coli-Malta:Escherichia coli                 0.9575555
## Sabouraud:Escherichia coli-Malta:Escherichia coli           0.3884057
## Czapeck:Proteus mirabilis-Malta:Escherichia coli            0.0593338
## Malta:Proteus mirabilis-Malta:Escherichia coli              1.0000000
## PDB:Proteus mirabilis-Malta:Escherichia coli                0.9631451
## Sabouraud:Proteus mirabilis-Malta:Escherichia coli          0.3136687
## Sabouraud:Escherichia coli-PDB:Escherichia coli             0.0279749
## Czapeck:Proteus mirabilis-PDB:Escherichia coli              0.5961257
## Malta:Proteus mirabilis-PDB:Escherichia coli                0.9206633
## PDB:Proteus mirabilis-PDB:Escherichia coli                  1.0000000
## Sabouraud:Proteus mirabilis-PDB:Escherichia coli            0.0202273
## Czapeck:Proteus mirabilis-Sabouraud:Escherichia coli        0.0001687
## Malta:Proteus mirabilis-Sabouraud:Escherichia coli          0.4714527
## PDB:Proteus mirabilis-Sabouraud:Escherichia coli            0.0298288
## Sabouraud:Proteus mirabilis-Sabouraud:Escherichia coli      1.0000000
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis           0.0435977
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis             0.5780611
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis       0.0001199
## PDB:Proteus mirabilis-Malta:Proteus mirabilis               0.9292879
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis         0.3884057
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis           0.0215920
plot(TukeyHSD(ANOVA))

#Prueba de Tukey
outHSD<-HSD.test(ANOVA, "FactorA",console=TRUE)
## 
## Study: ANOVA ~ "FactorA"
## 
## HSD Test for CMI 
## 
## Mean Square Error:  0.02028611 
## 
## FactorA,  means
## 
##                 CMI       std r         se  Min  Max  Q25  Q50  Q75
## Czapeck   1.1133333 0.1864135 9 0.04747644 0.81 1.35 0.93 1.18 1.24
## Malta     0.8066667 0.1351851 9 0.04747644 0.62 1.00 0.73 0.79 0.92
## PDB       1.0055556 0.1373054 9 0.04747644 0.84 1.19 0.89 1.02 1.10
## Sabouraud 0.5388889 0.1098231 9 0.04747644 0.41 0.75 0.46 0.51 0.62
## 
## Alpha: 0.05 ; DF Error: 24 
## Critical Value of Studentized Range: 3.901262 
## 
## Minimun Significant Difference: 0.185218 
## 
## Treatments with the same letter are not significantly different.
## 
##                 CMI groups
## Czapeck   1.1133333      a
## PDB       1.0055556      a
## Malta     0.8066667      b
## Sabouraud 0.5388889      c
outHSD<-HSD.test(ANOVA, "FactorB",console=TRUE)
## 
## Study: ANOVA ~ "FactorB"
## 
## HSD Test for CMI 
## 
## Mean Square Error:  0.02028611 
## 
## FactorB,  means
## 
##                            CMI       std  r        se  Min  Max    Q25  Q50
## Enterobacter cloacae 0.7908333 0.2561412 12 0.0411158 0.41 1.24 0.6275 0.79
## Escherichia coli     0.8833333 0.2370398 12 0.0411158 0.46 1.19 0.7800 0.88
## Proteus mirabilis    0.9241667 0.2923714 12 0.0411158 0.50 1.35 0.6275 0.96
##                         Q75
## Enterobacter cloacae 0.9075
## Escherichia coli     1.0500
## Proteus mirabilis    1.1325
## 
## Alpha: 0.05 ; DF Error: 24 
## Critical Value of Studentized Range: 3.531697 
## 
## Minimun Significant Difference: 0.1452086 
## 
## Treatments with the same letter are not significantly different.
## 
##                            CMI groups
## Proteus mirabilis    0.9241667      a
## Escherichia coli     0.8833333      a
## Enterobacter cloacae 0.7908333      a