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Problema a analizar: Actividad antimicrobiana sobre las bacterias Streptococcus pyogenes, Proteus mirabilis y Micrococcus luteus.

Including Plots

CƔlculo de ANOVA y el Modelo Lineal

##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## FactorA          3 1.8125  0.6042  34.895 6.49e-09 ***
## FactorB          2 0.0027  0.0014   0.078    0.925    
## FactorA:FactorB  6 0.0696  0.0116   0.670    0.675    
## Residuals       24 0.4155  0.0173                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## FactorA          3 1.8125  0.6042  34.895 6.49e-09 ***
## FactorB          2 0.0027  0.0014   0.078    0.925    
## FactorA:FactorB  6 0.0696  0.0116   0.670    0.675    
## Residuals       24 0.4155  0.0173                     
## ---
## 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 -0.06167 -0.02333  0.07750  0.25667 
## 
## Coefficients:
##                                                Estimate Std. Error t value
## (Intercept)                                     1.10333    0.07597  14.523
## FactorAMalta                                   -0.25333    0.10744  -2.358
## FactorAPDB                                     -0.01333    0.10744  -0.124
## FactorASabouraud                               -0.52000    0.10744  -4.840
## FactorBProteus mirabilis                        0.17000    0.10744   1.582
## FactorBStreptococcus pyogenes                   0.06333    0.10744   0.589
## FactorAMalta:FactorBProteus mirabilis          -0.17333    0.15194  -1.141
## FactorAPDB:FactorBProteus mirabilis            -0.24000    0.15194  -1.580
## FactorASabouraud:FactorBProteus mirabilis      -0.19667    0.15194  -1.294
## FactorAMalta:FactorBStreptococcus pyogenes     -0.13667    0.15194  -0.899
## FactorAPDB:FactorBStreptococcus pyogenes       -0.11333    0.15194  -0.746
## FactorASabouraud:FactorBStreptococcus pyogenes -0.01000    0.15194  -0.066
##                                                Pr(>|t|)    
## (Intercept)                                    2.19e-13 ***
## FactorAMalta                                     0.0269 *  
## FactorAPDB                                       0.9023    
## FactorASabouraud                               6.24e-05 ***
## FactorBProteus mirabilis                         0.1267    
## FactorBStreptococcus pyogenes                    0.5610    
## FactorAMalta:FactorBProteus mirabilis            0.2652    
## FactorAPDB:FactorBProteus mirabilis              0.1273    
## FactorASabouraud:FactorBProteus mirabilis        0.2078    
## FactorAMalta:FactorBStreptococcus pyogenes       0.3773    
## FactorAPDB:FactorBStreptococcus pyogenes         0.4630    
## FactorASabouraud:FactorBStreptococcus pyogenes   0.9481    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1316 on 24 degrees of freedom
## Multiple R-squared:  0.8194, Adjusted R-squared:  0.7366 
## F-statistic: 9.897 on 11 and 24 DF,  p-value: 1.818e-06

sIGNIFICADO DE LA INTERACCIƓN: 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.

GrƔficas de efectos principales e interacciones

## Warning: package 'car' was built under R version 4.4.2
## Loading required package: 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 DiseƱo Experimental

  1. Normalidad
## 
##  Shapiro-Wilk normality test
## 
## data:  rstandard(Modelo)
## W = 0.97784, p-value = 0.6719
  1. Prueba de homocedasticidad o igualdad de varianzas
## Non-constant Variance Score Test 
## Variance formula: ~ fitted.values 
## Chisquare = 1.566175, Df = 1, p = 0.21076
  1. Revisión grafica de supuestos

  1. cƔlculo del efecto (ANOVA)
## Warning: package 'lsr' was built under R version 4.4.3
##                      eta.sq eta.sq.part
## FactorA         0.787917612 0.813497471
## FactorB         0.001176142 0.006468924
## FactorA:FactorB 0.030268158 0.143514755

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     -0.3566667 -0.52777894 -0.18555439 0.0000355
## PDB-Czapeck       -0.1311111 -0.30222339  0.04000117 0.1774032
## Sabouraud-Czapeck -0.5888889 -0.76000117 -0.41777661 0.0000000
## PDB-Malta          0.2255556  0.05444328  0.39666783 0.0067169
## Sabouraud-Malta   -0.2322222 -0.40333450 -0.06110994 0.0051817
## Sabouraud-PDB     -0.4577778 -0.62889006 -0.28666550 0.0000007
## 
## $FactorB
##                                                   diff        lwr       upr
## Proteus mirabilis-Micrococcus luteus       0.017500000 -0.1166498 0.1516498
## Streptococcus pyogenes-Micrococcus luteus -0.001666667 -0.1358165 0.1324832
## Streptococcus pyogenes-Proteus mirabilis  -0.019166667 -0.1533165 0.1149832
##                                               p adj
## Proteus mirabilis-Micrococcus luteus      0.9433145
## Streptococcus pyogenes-Micrococcus luteus 0.9994694
## Streptococcus pyogenes-Proteus mirabilis  0.9324283
## 
## $`FactorA:FactorB`
##                                                                         diff
## Malta:Micrococcus luteus-Czapeck:Micrococcus luteus             -0.253333333
## PDB:Micrococcus luteus-Czapeck:Micrococcus luteus               -0.013333333
## Sabouraud:Micrococcus luteus-Czapeck:Micrococcus luteus         -0.520000000
## Czapeck:Proteus mirabilis-Czapeck:Micrococcus luteus             0.170000000
## Malta:Proteus mirabilis-Czapeck:Micrococcus luteus              -0.256666667
## PDB:Proteus mirabilis-Czapeck:Micrococcus luteus                -0.083333333
## Sabouraud:Proteus mirabilis-Czapeck:Micrococcus luteus          -0.546666667
## Czapeck:Streptococcus pyogenes-Czapeck:Micrococcus luteus        0.063333333
## Malta:Streptococcus pyogenes-Czapeck:Micrococcus luteus         -0.326666667
## PDB:Streptococcus pyogenes-Czapeck:Micrococcus luteus           -0.063333333
## Sabouraud:Streptococcus pyogenes-Czapeck:Micrococcus luteus     -0.466666667
## PDB:Micrococcus luteus-Malta:Micrococcus luteus                  0.240000000
## Sabouraud:Micrococcus luteus-Malta:Micrococcus luteus           -0.266666667
## Czapeck:Proteus mirabilis-Malta:Micrococcus luteus               0.423333333
## Malta:Proteus mirabilis-Malta:Micrococcus luteus                -0.003333333
## PDB:Proteus mirabilis-Malta:Micrococcus luteus                   0.170000000
## Sabouraud:Proteus mirabilis-Malta:Micrococcus luteus            -0.293333333
## Czapeck:Streptococcus pyogenes-Malta:Micrococcus luteus          0.316666667
## Malta:Streptococcus pyogenes-Malta:Micrococcus luteus           -0.073333333
## PDB:Streptococcus pyogenes-Malta:Micrococcus luteus              0.190000000
## Sabouraud:Streptococcus pyogenes-Malta:Micrococcus luteus       -0.213333333
## Sabouraud:Micrococcus luteus-PDB:Micrococcus luteus             -0.506666667
## Czapeck:Proteus mirabilis-PDB:Micrococcus luteus                 0.183333333
## Malta:Proteus mirabilis-PDB:Micrococcus luteus                  -0.243333333
## PDB:Proteus mirabilis-PDB:Micrococcus luteus                    -0.070000000
## Sabouraud:Proteus mirabilis-PDB:Micrococcus luteus              -0.533333333
## Czapeck:Streptococcus pyogenes-PDB:Micrococcus luteus            0.076666667
## Malta:Streptococcus pyogenes-PDB:Micrococcus luteus             -0.313333333
## PDB:Streptococcus pyogenes-PDB:Micrococcus luteus               -0.050000000
## Sabouraud:Streptococcus pyogenes-PDB:Micrococcus luteus         -0.453333333
## Czapeck:Proteus mirabilis-Sabouraud:Micrococcus luteus           0.690000000
## Malta:Proteus mirabilis-Sabouraud:Micrococcus luteus             0.263333333
## PDB:Proteus mirabilis-Sabouraud:Micrococcus luteus               0.436666667
## Sabouraud:Proteus mirabilis-Sabouraud:Micrococcus luteus        -0.026666667
## Czapeck:Streptococcus pyogenes-Sabouraud:Micrococcus luteus      0.583333333
## Malta:Streptococcus pyogenes-Sabouraud:Micrococcus luteus        0.193333333
## PDB:Streptococcus pyogenes-Sabouraud:Micrococcus luteus          0.456666667
## Sabouraud:Streptococcus pyogenes-Sabouraud:Micrococcus luteus    0.053333333
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis               -0.426666667
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis                 -0.253333333
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis           -0.716666667
## Czapeck:Streptococcus pyogenes-Czapeck:Proteus mirabilis        -0.106666667
## Malta:Streptococcus pyogenes-Czapeck:Proteus mirabilis          -0.496666667
## PDB:Streptococcus pyogenes-Czapeck:Proteus mirabilis            -0.233333333
## Sabouraud:Streptococcus pyogenes-Czapeck:Proteus mirabilis      -0.636666667
## PDB:Proteus mirabilis-Malta:Proteus mirabilis                    0.173333333
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis             -0.290000000
## Czapeck:Streptococcus pyogenes-Malta:Proteus mirabilis           0.320000000
## Malta:Streptococcus pyogenes-Malta:Proteus mirabilis            -0.070000000
## PDB:Streptococcus pyogenes-Malta:Proteus mirabilis               0.193333333
## Sabouraud:Streptococcus pyogenes-Malta:Proteus mirabilis        -0.210000000
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis               -0.463333333
## Czapeck:Streptococcus pyogenes-PDB:Proteus mirabilis             0.146666667
## Malta:Streptococcus pyogenes-PDB:Proteus mirabilis              -0.243333333
## PDB:Streptococcus pyogenes-PDB:Proteus mirabilis                 0.020000000
## Sabouraud:Streptococcus pyogenes-PDB:Proteus mirabilis          -0.383333333
## Czapeck:Streptococcus pyogenes-Sabouraud:Proteus mirabilis       0.610000000
## Malta:Streptococcus pyogenes-Sabouraud:Proteus mirabilis         0.220000000
## PDB:Streptococcus pyogenes-Sabouraud:Proteus mirabilis           0.483333333
## Sabouraud:Streptococcus pyogenes-Sabouraud:Proteus mirabilis     0.080000000
## Malta:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes     -0.390000000
## PDB:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes       -0.126666667
## Sabouraud:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes -0.530000000
## PDB:Streptococcus pyogenes-Malta:Streptococcus pyogenes          0.263333333
## Sabouraud:Streptococcus pyogenes-Malta:Streptococcus pyogenes   -0.140000000
## Sabouraud:Streptococcus pyogenes-PDB:Streptococcus pyogenes     -0.403333333
##                                                                         lwr
## Malta:Micrococcus luteus-Czapeck:Micrococcus luteus             -0.64070937
## PDB:Micrococcus luteus-Czapeck:Micrococcus luteus               -0.40070937
## Sabouraud:Micrococcus luteus-Czapeck:Micrococcus luteus         -0.90737604
## Czapeck:Proteus mirabilis-Czapeck:Micrococcus luteus            -0.21737604
## Malta:Proteus mirabilis-Czapeck:Micrococcus luteus              -0.64404270
## PDB:Proteus mirabilis-Czapeck:Micrococcus luteus                -0.47070937
## Sabouraud:Proteus mirabilis-Czapeck:Micrococcus luteus          -0.93404270
## Czapeck:Streptococcus pyogenes-Czapeck:Micrococcus luteus       -0.32404270
## Malta:Streptococcus pyogenes-Czapeck:Micrococcus luteus         -0.71404270
## PDB:Streptococcus pyogenes-Czapeck:Micrococcus luteus           -0.45070937
## Sabouraud:Streptococcus pyogenes-Czapeck:Micrococcus luteus     -0.85404270
## PDB:Micrococcus luteus-Malta:Micrococcus luteus                 -0.14737604
## Sabouraud:Micrococcus luteus-Malta:Micrococcus luteus           -0.65404270
## Czapeck:Proteus mirabilis-Malta:Micrococcus luteus               0.03595730
## Malta:Proteus mirabilis-Malta:Micrococcus luteus                -0.39070937
## PDB:Proteus mirabilis-Malta:Micrococcus luteus                  -0.21737604
## Sabouraud:Proteus mirabilis-Malta:Micrococcus luteus            -0.68070937
## Czapeck:Streptococcus pyogenes-Malta:Micrococcus luteus         -0.07070937
## Malta:Streptococcus pyogenes-Malta:Micrococcus luteus           -0.46070937
## PDB:Streptococcus pyogenes-Malta:Micrococcus luteus             -0.19737604
## Sabouraud:Streptococcus pyogenes-Malta:Micrococcus luteus       -0.60070937
## Sabouraud:Micrococcus luteus-PDB:Micrococcus luteus             -0.89404270
## Czapeck:Proteus mirabilis-PDB:Micrococcus luteus                -0.20404270
## Malta:Proteus mirabilis-PDB:Micrococcus luteus                  -0.63070937
## PDB:Proteus mirabilis-PDB:Micrococcus luteus                    -0.45737604
## Sabouraud:Proteus mirabilis-PDB:Micrococcus luteus              -0.92070937
## Czapeck:Streptococcus pyogenes-PDB:Micrococcus luteus           -0.31070937
## Malta:Streptococcus pyogenes-PDB:Micrococcus luteus             -0.70070937
## PDB:Streptococcus pyogenes-PDB:Micrococcus luteus               -0.43737604
## Sabouraud:Streptococcus pyogenes-PDB:Micrococcus luteus         -0.84070937
## Czapeck:Proteus mirabilis-Sabouraud:Micrococcus luteus           0.30262396
## Malta:Proteus mirabilis-Sabouraud:Micrococcus luteus            -0.12404270
## PDB:Proteus mirabilis-Sabouraud:Micrococcus luteus               0.04929063
## Sabouraud:Proteus mirabilis-Sabouraud:Micrococcus luteus        -0.41404270
## Czapeck:Streptococcus pyogenes-Sabouraud:Micrococcus luteus      0.19595730
## Malta:Streptococcus pyogenes-Sabouraud:Micrococcus luteus       -0.19404270
## PDB:Streptococcus pyogenes-Sabouraud:Micrococcus luteus          0.06929063
## Sabouraud:Streptococcus pyogenes-Sabouraud:Micrococcus luteus   -0.33404270
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis               -0.81404270
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis                 -0.64070937
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis           -1.10404270
## Czapeck:Streptococcus pyogenes-Czapeck:Proteus mirabilis        -0.49404270
## Malta:Streptococcus pyogenes-Czapeck:Proteus mirabilis          -0.88404270
## PDB:Streptococcus pyogenes-Czapeck:Proteus mirabilis            -0.62070937
## Sabouraud:Streptococcus pyogenes-Czapeck:Proteus mirabilis      -1.02404270
## PDB:Proteus mirabilis-Malta:Proteus mirabilis                   -0.21404270
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis             -0.67737604
## Czapeck:Streptococcus pyogenes-Malta:Proteus mirabilis          -0.06737604
## Malta:Streptococcus pyogenes-Malta:Proteus mirabilis            -0.45737604
## PDB:Streptococcus pyogenes-Malta:Proteus mirabilis              -0.19404270
## Sabouraud:Streptococcus pyogenes-Malta:Proteus mirabilis        -0.59737604
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis               -0.85070937
## Czapeck:Streptococcus pyogenes-PDB:Proteus mirabilis            -0.24070937
## Malta:Streptococcus pyogenes-PDB:Proteus mirabilis              -0.63070937
## PDB:Streptococcus pyogenes-PDB:Proteus mirabilis                -0.36737604
## Sabouraud:Streptococcus pyogenes-PDB:Proteus mirabilis          -0.77070937
## Czapeck:Streptococcus pyogenes-Sabouraud:Proteus mirabilis       0.22262396
## Malta:Streptococcus pyogenes-Sabouraud:Proteus mirabilis        -0.16737604
## PDB:Streptococcus pyogenes-Sabouraud:Proteus mirabilis           0.09595730
## Sabouraud:Streptococcus pyogenes-Sabouraud:Proteus mirabilis    -0.30737604
## Malta:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes     -0.77737604
## PDB:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes       -0.51404270
## Sabouraud:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes -0.91737604
## PDB:Streptococcus pyogenes-Malta:Streptococcus pyogenes         -0.12404270
## Sabouraud:Streptococcus pyogenes-Malta:Streptococcus pyogenes   -0.52737604
## Sabouraud:Streptococcus pyogenes-PDB:Streptococcus pyogenes     -0.79070937
##                                                                          upr
## Malta:Micrococcus luteus-Czapeck:Micrococcus luteus              0.134042704
## PDB:Micrococcus luteus-Czapeck:Micrococcus luteus                0.374042704
## Sabouraud:Micrococcus luteus-Czapeck:Micrococcus luteus         -0.132623963
## Czapeck:Proteus mirabilis-Czapeck:Micrococcus luteus             0.557376037
## Malta:Proteus mirabilis-Czapeck:Micrococcus luteus               0.130709370
## PDB:Proteus mirabilis-Czapeck:Micrococcus luteus                 0.304042704
## Sabouraud:Proteus mirabilis-Czapeck:Micrococcus luteus          -0.159290630
## Czapeck:Streptococcus pyogenes-Czapeck:Micrococcus luteus        0.450709370
## Malta:Streptococcus pyogenes-Czapeck:Micrococcus luteus          0.060709370
## PDB:Streptococcus pyogenes-Czapeck:Micrococcus luteus            0.324042704
## Sabouraud:Streptococcus pyogenes-Czapeck:Micrococcus luteus     -0.079290630
## PDB:Micrococcus luteus-Malta:Micrococcus luteus                  0.627376037
## Sabouraud:Micrococcus luteus-Malta:Micrococcus luteus            0.120709370
## Czapeck:Proteus mirabilis-Malta:Micrococcus luteus               0.810709370
## Malta:Proteus mirabilis-Malta:Micrococcus luteus                 0.384042704
## PDB:Proteus mirabilis-Malta:Micrococcus luteus                   0.557376037
## Sabouraud:Proteus mirabilis-Malta:Micrococcus luteus             0.094042704
## Czapeck:Streptococcus pyogenes-Malta:Micrococcus luteus          0.704042704
## Malta:Streptococcus pyogenes-Malta:Micrococcus luteus            0.314042704
## PDB:Streptococcus pyogenes-Malta:Micrococcus luteus              0.577376037
## Sabouraud:Streptococcus pyogenes-Malta:Micrococcus luteus        0.174042704
## Sabouraud:Micrococcus luteus-PDB:Micrococcus luteus             -0.119290630
## Czapeck:Proteus mirabilis-PDB:Micrococcus luteus                 0.570709370
## Malta:Proteus mirabilis-PDB:Micrococcus luteus                   0.144042704
## PDB:Proteus mirabilis-PDB:Micrococcus luteus                     0.317376037
## Sabouraud:Proteus mirabilis-PDB:Micrococcus luteus              -0.145957296
## Czapeck:Streptococcus pyogenes-PDB:Micrococcus luteus            0.464042704
## Malta:Streptococcus pyogenes-PDB:Micrococcus luteus              0.074042704
## PDB:Streptococcus pyogenes-PDB:Micrococcus luteus                0.337376037
## Sabouraud:Streptococcus pyogenes-PDB:Micrococcus luteus         -0.065957296
## Czapeck:Proteus mirabilis-Sabouraud:Micrococcus luteus           1.077376037
## Malta:Proteus mirabilis-Sabouraud:Micrococcus luteus             0.650709370
## PDB:Proteus mirabilis-Sabouraud:Micrococcus luteus               0.824042704
## Sabouraud:Proteus mirabilis-Sabouraud:Micrococcus luteus         0.360709370
## Czapeck:Streptococcus pyogenes-Sabouraud:Micrococcus luteus      0.970709370
## Malta:Streptococcus pyogenes-Sabouraud:Micrococcus luteus        0.580709370
## PDB:Streptococcus pyogenes-Sabouraud:Micrococcus luteus          0.844042704
## Sabouraud:Streptococcus pyogenes-Sabouraud:Micrococcus luteus    0.440709370
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis               -0.039290630
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis                  0.134042704
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis           -0.329290630
## Czapeck:Streptococcus pyogenes-Czapeck:Proteus mirabilis         0.280709370
## Malta:Streptococcus pyogenes-Czapeck:Proteus mirabilis          -0.109290630
## PDB:Streptococcus pyogenes-Czapeck:Proteus mirabilis             0.154042704
## Sabouraud:Streptococcus pyogenes-Czapeck:Proteus mirabilis      -0.249290630
## PDB:Proteus mirabilis-Malta:Proteus mirabilis                    0.560709370
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis              0.097376037
## Czapeck:Streptococcus pyogenes-Malta:Proteus mirabilis           0.707376037
## Malta:Streptococcus pyogenes-Malta:Proteus mirabilis             0.317376037
## PDB:Streptococcus pyogenes-Malta:Proteus mirabilis               0.580709370
## Sabouraud:Streptococcus pyogenes-Malta:Proteus mirabilis         0.177376037
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis               -0.075957296
## Czapeck:Streptococcus pyogenes-PDB:Proteus mirabilis             0.534042704
## Malta:Streptococcus pyogenes-PDB:Proteus mirabilis               0.144042704
## PDB:Streptococcus pyogenes-PDB:Proteus mirabilis                 0.407376037
## Sabouraud:Streptococcus pyogenes-PDB:Proteus mirabilis           0.004042704
## Czapeck:Streptococcus pyogenes-Sabouraud:Proteus mirabilis       0.997376037
## Malta:Streptococcus pyogenes-Sabouraud:Proteus mirabilis         0.607376037
## PDB:Streptococcus pyogenes-Sabouraud:Proteus mirabilis           0.870709370
## Sabouraud:Streptococcus pyogenes-Sabouraud:Proteus mirabilis     0.467376037
## Malta:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes     -0.002623963
## PDB:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes        0.260709370
## Sabouraud:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes -0.142623963
## PDB:Streptococcus pyogenes-Malta:Streptococcus pyogenes          0.650709370
## Sabouraud:Streptococcus pyogenes-Malta:Streptococcus pyogenes    0.247376037
## Sabouraud:Streptococcus pyogenes-PDB:Streptococcus pyogenes     -0.015957296
##                                                                     p adj
## Malta:Micrococcus luteus-Czapeck:Micrococcus luteus             0.4668806
## PDB:Micrococcus luteus-Czapeck:Micrococcus luteus               1.0000000
## Sabouraud:Micrococcus luteus-Czapeck:Micrococcus luteus         0.0028854
## Czapeck:Proteus mirabilis-Czapeck:Micrococcus luteus            0.8993807
## Malta:Proteus mirabilis-Czapeck:Micrococcus luteus              0.4483873
## PDB:Proteus mirabilis-Czapeck:Micrococcus luteus                0.9996006
## Sabouraud:Proteus mirabilis-Czapeck:Micrococcus luteus          0.0015873
## Czapeck:Streptococcus pyogenes-Czapeck:Micrococcus luteus       0.9999719
## Malta:Streptococcus pyogenes-Czapeck:Micrococcus luteus         0.1567496
## PDB:Streptococcus pyogenes-Czapeck:Micrococcus luteus           0.9999719
## Sabouraud:Streptococcus pyogenes-Czapeck:Micrococcus luteus     0.0093983
## PDB:Micrococcus luteus-Malta:Micrococcus luteus                 0.5432026
## Sabouraud:Micrococcus luteus-Malta:Micrococcus luteus           0.3948544
## Czapeck:Proteus mirabilis-Malta:Micrococcus luteus              0.0238515
## Malta:Proteus mirabilis-Malta:Micrococcus luteus                1.0000000
## PDB:Proteus mirabilis-Malta:Micrococcus luteus                  0.8993807
## Sabouraud:Proteus mirabilis-Malta:Micrococcus luteus            0.2702537
## Czapeck:Streptococcus pyogenes-Malta:Micrococcus luteus         0.1859343
## Malta:Streptococcus pyogenes-Malta:Micrococcus luteus           0.9998813
## PDB:Streptococcus pyogenes-Malta:Micrococcus luteus             0.8189891
## Sabouraud:Streptococcus pyogenes-Malta:Micrococcus luteus       0.6980118
## Sabouraud:Micrococcus luteus-PDB:Micrococcus luteus             0.0038852
## Czapeck:Proteus mirabilis-PDB:Micrococcus luteus                0.8485877
## Malta:Proteus mirabilis-PDB:Micrococcus luteus                  0.5238469
## PDB:Proteus mirabilis-PDB:Micrococcus luteus                    0.9999245
## Sabouraud:Proteus mirabilis-PDB:Micrococcus luteus              0.0021408
## Czapeck:Streptococcus pyogenes-PDB:Micrococcus luteus           0.9998181
## Malta:Streptococcus pyogenes-PDB:Micrococcus luteus             0.1965625
## PDB:Streptococcus pyogenes-PDB:Micrococcus luteus               0.9999975
## Sabouraud:Streptococcus pyogenes-PDB:Micrococcus luteus         0.0125614
## Czapeck:Proteus mirabilis-Sabouraud:Micrococcus luteus          0.0000648
## Malta:Proteus mirabilis-Sabouraud:Micrococcus luteus            0.4123457
## PDB:Proteus mirabilis-Sabouraud:Micrococcus luteus              0.0179765
## Sabouraud:Proteus mirabilis-Sabouraud:Micrococcus luteus        1.0000000
## Czapeck:Streptococcus pyogenes-Sabouraud:Micrococcus luteus     0.0006964
## Malta:Streptococcus pyogenes-Sabouraud:Micrococcus luteus       0.8032379
## PDB:Streptococcus pyogenes-Sabouraud:Micrococcus luteus         0.0116856
## Sabouraud:Streptococcus pyogenes-Sabouraud:Micrococcus luteus   0.9999951
## Malta:Proteus mirabilis-Czapeck:Proteus mirabilis               0.0222317
## PDB:Proteus mirabilis-Czapeck:Proteus mirabilis                 0.4668806
## Sabouraud:Proteus mirabilis-Czapeck:Proteus mirabilis           0.0000362
## Czapeck:Streptococcus pyogenes-Czapeck:Proteus mirabilis        0.9964178
## Malta:Streptococcus pyogenes-Czapeck:Proteus mirabilis          0.0048524
## PDB:Streptococcus pyogenes-Czapeck:Proteus mirabilis            0.5822062
## Sabouraud:Streptococcus pyogenes-Czapeck:Proteus mirabilis      0.0002109
## PDB:Proteus mirabilis-Malta:Proteus mirabilis                   0.8877845
## Sabouraud:Proteus mirabilis-Malta:Proteus mirabilis             0.2842167
## Czapeck:Streptococcus pyogenes-Malta:Proteus mirabilis          0.1757621
## Malta:Streptococcus pyogenes-Malta:Proteus mirabilis            0.9999245
## PDB:Streptococcus pyogenes-Malta:Proteus mirabilis              0.8032379
## Sabouraud:Streptococcus pyogenes-Malta:Proteus mirabilis        0.7165884
## Sabouraud:Proteus mirabilis-PDB:Proteus mirabilis               0.0101078
## Czapeck:Streptococcus pyogenes-PDB:Proteus mirabilis            0.9597050
## Malta:Streptococcus pyogenes-PDB:Proteus mirabilis              0.5238469
## PDB:Streptococcus pyogenes-PDB:Proteus mirabilis                1.0000000
## Sabouraud:Streptococcus pyogenes-PDB:Proteus mirabilis          0.0542062
## Czapeck:Streptococcus pyogenes-Sabouraud:Proteus mirabilis      0.0003828
## Malta:Streptococcus pyogenes-Sabouraud:Proteus mirabilis        0.6600245
## PDB:Streptococcus pyogenes-Sabouraud:Proteus mirabilis          0.0065176
## Sabouraud:Streptococcus pyogenes-Sabouraud:Proteus mirabilis    0.9997276
## Malta:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes     0.0474323
## PDB:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes       0.9858437
## Sabouraud:Streptococcus pyogenes-Czapeck:Streptococcus pyogenes 0.0023068
## PDB:Streptococcus pyogenes-Malta:Streptococcus pyogenes         0.4123457
## Sabouraud:Streptococcus pyogenes-Malta:Streptococcus pyogenes   0.9706817
## Sabouraud:Streptococcus pyogenes-PDB:Streptococcus pyogenes     0.0361639
plot(TukeyHSD(ANOVA))

#Prueba de Tukey
outHSD<-HSD.test(ANOVA, "FactorA",console=TRUE)
## 
## Study: ANOVA ~ "FactorA"
## 
## HSD Test for CMI 
## 
## Mean Square Error:  0.01731389 
## 
## FactorA,  means
## 
##                 CMI        std r         se  Min  Max  Q25  Q50  Q75
## Czapeck   1.1811111 0.14726205 9 0.04386075 0.96 1.36 1.08 1.23 1.28
## Malta     0.8244444 0.12778019 9 0.04386075 0.62 1.00 0.74 0.85 0.92
## PDB       1.0500000 0.13181426 9 0.04386075 0.89 1.30 0.94 1.07 1.10
## Sabouraud 0.5922222 0.07479602 9 0.04386075 0.50 0.75 0.55 0.58 0.63
## 
## Alpha: 0.05 ; DF Error: 24 
## Critical Value of Studentized Range: 3.901262 
## 
## Minimun Significant Difference: 0.1711123 
## 
## Treatments with the same letter are not significantly different.
## 
##                 CMI groups
## Czapeck   1.1811111      a
## PDB       1.0500000      a
## Malta     0.8244444      b
## Sabouraud 0.5922222      c
outHSD<-HSD.test(ANOVA, "FactorB",console=TRUE)
## 
## Study: ANOVA ~ "FactorB"
## 
## HSD Test for CMI 
## 
## Mean Square Error:  0.01731389 
## 
## FactorB,  means
## 
##                              CMI       std  r         se  Min  Max    Q25   Q50
## Micrococcus luteus     0.9066667 0.2605356 12 0.03798452 0.55 1.36 0.7250 0.925
## Proteus mirabilis      0.9241667 0.2923714 12 0.03798452 0.50 1.35 0.6275 0.960
## Streptococcus pyogenes 0.9050000 0.2356230 12 0.03798452 0.58 1.28 0.7300 0.915
##                           Q75
## Micrococcus luteus     1.0100
## Proteus mirabilis      1.1325
## Streptococcus pyogenes 1.0950
## 
## Alpha: 0.05 ; DF Error: 24 
## Critical Value of Studentized Range: 3.531697 
## 
## Minimun Significant Difference: 0.1341498 
## 
## Treatments with the same letter are not significantly different.
## 
##                              CMI groups
## Proteus mirabilis      0.9241667      a
## Micrococcus luteus     0.9066667      a
## Streptococcus pyogenes 0.9050000      a