library(readxl)
#install.packages("metan")
library(metan)
## Registered S3 method overwritten by 'GGally':
## method from
## +.gg ggplot2
## |=========================================================|
## | Multi-Environment Trial Analysis (metan) v1.18.0 |
## | Author: Tiago Olivoto |
## | Type 'citation('metan')' to know how to cite metan |
## | Type 'vignette('metan_start')' for a short tutorial |
## | Visit 'https://bit.ly/pkgmetan' for a complete tutorial |
## |=========================================================|
data = read_excel("C:/Users/Cristian/Desktop/copias enayos/Datos Parcial Fitomejoramiento/Datos.xlsx")
View(data)
DF = as.data.frame(data)
head(DF)
## Genotipos Rendimiento Localidad Repeticion
## 1 22-1 3.5 Monteria 1
## 2 Testigo 3.7 Monteria 1
## 3 22-14 3.6 Monteria 1
## 4 22-31 7.2 Monteria 1
## 5 22-53 6.8 Monteria 1
## 6 22-70 6.0 Monteria 1
str(DF)
## 'data.frame': 135 obs. of 4 variables:
## $ Genotipos : chr "22-1" "Testigo" "22-14" "22-31" ...
## $ Rendimiento: num 3.5 3.7 3.6 7.2 6.8 6 6.1 6.8 6 3.5 ...
## $ Localidad : chr "Monteria" "Monteria" "Monteria" "Monteria" ...
## $ Repeticion : num 1 1 1 1 1 1 1 1 1 2 ...
#Transformacion a FACTORES
DF$Loc = as.factor(DF$Localidad)
DF$Gen = as.factor(DF$Genotipos)
DF$Rep = as.factor(DF$Repeticion)
View(DF)
#ANOVA
anova = aov(Rendimiento~Loc + Gen + Loc*Gen, data = DF)
summary(anova)
## Df Sum Sq Mean Sq F value Pr(>F)
## Loc 4 56.80 14.199 47.86 < 2e-16 ***
## Gen 8 196.57 24.571 82.82 < 2e-16 ***
## Loc:Gen 32 30.29 0.946 3.19 8.56e-06 ***
## Residuals 90 26.70 0.297
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
#Within-environment analysis of variance
#Performs a within-environment analysis of variance in randomized complete block or alpha-lattice designs and returns values such as Mean Squares, p-values, coefficient of variation, heritability, and accuracy of selection.
#For analysis in randomized complete block design:
#MEAN: The grand mean.
#DFG, DFB, and DFE: The degree of freedom for genotype blocks, and error, respectively.
#MSG, MSB, and MSE: The mean squares for genotype blocks, and error, respectively.
#FCG and FCB: The F-calculated for genotype and blocks, respectively.
#PFG and PFB: The P-values for genotype and blocks, respectively.
#CV: coefficient of variation.
#h2: broad-sense heritability.
#AS: accuracy of selection (square root of h2)
indiv_RC = anova_ind(.data = DF, env = Loc, gen = Gen, rep = Rep, resp = Rendimiento)
## Evaluating trait Rendimiento |===================================| 100% 00:00:00
indiv_RC
## Variable Rendimiento
## ---------------------------------------------------------------------------
## Within-environment ANOVA results
## ---------------------------------------------------------------------------
## # A tibble: 5 × 15
## ENV MEAN DFG MSG FCG PFG DFB MSB FCB PFB DFE MSE
## <chr> <dbl> <int> <dbl> <dbl> <dbl> <int> <dbl> <dbl> <dbl> <int> <dbl>
## 1 Agua… 5.18 8 5.67 381. 8.92e-17 2 0.0211 1.42 0.270 16 0.0149
## 2 Espi… 5.07 8 6.48 4.75 3.92e- 3 2 1.85 1.36 0.286 16 1.36
## 3 Mont… 5.54 8 6.62 454. 2.25e-17 2 0.0133 0.914 0.421 16 0.0146
## 4 Neiva 3.7 8 1.73 99 3.70e-12 2 0.0400 2.29 0.134 16 0.0175
## 5 Yopal 5.3 8 7.86 682. 8.76e-19 2 0.0578 5.01 0.0204 16 0.0115
## # ℹ 3 more variables: CV <dbl>, h2 <dbl>, AS <dbl>
## ---------------------------------------------------------------------------
#Joint analysis of variance
#Performs a joint analysis of variance to check for the presence of genotype-vs-environment interactions using both randomized complete block and alpha-lattice designs.
joint_RC = anova_joint(.data = DF, env = Loc, gen = Gen, rep = Rep, resp = Rendimiento)
## variable Rendimiento
## ---------------------------------------------------------------------------
## Joint ANOVA table
## ---------------------------------------------------------------------------
## Source Df Sum Sq Mean Sq F value Pr(>F)
## ENV 4.00 56.80 14.199 49.95 5.25e-21
## REP(ENV) 10.00 3.96 0.396 1.39 1.99e-01
## GEN 8.00 196.57 24.571 86.44 3.82e-36
## GEN:ENV 32.00 30.29 0.946 3.33 7.13e-06
## Residuals 80.00 22.74 0.284 NA NA
## CV(%) 10.75 NA NA NA NA
## MSR+/MSR- 118.22 NA NA NA NA
## OVmean 4.96 NA NA NA NA
## ---------------------------------------------------------------------------
##
## All variables with significant (p < 0.05) genotype-vs-environment interaction
## Done!
#Normas de reaccion - Analisis Preliminar
with(DF, interaction.plot(Loc, Gen, Rendimiento))
with(DF, interaction.plot(Gen, Loc, Rendimiento))
library(phia)
## Loading required package: car
## Loading required package: carData
#Test Contrasts of Factor Interactions
#Efectos simples de Localidad
#Calculates and tests different types of contrasts for factor interactions, in linear, generalized and mixed linear models: simple main effects, interaction contrasts, residual effects, and others.
testInteractions(anova, pairwise = "Loc", fixed = "Gen", adjust = "none")
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## F Test:
## P-value adjustment method: none
## Value SE Df Sum of Sq F Pr(>F)
## Aguachica-Espinal : 22-1 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Aguachica-Monteria : 22-1 0.2 0.445 1.0 0.060 0.2022 0.6539943
## Aguachica-Neiva : 22-1 0.7 0.445 1.0 0.735 2.4775 0.1189926
## Aguachica-Yopal : 22-1 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Espinal-Monteria : 22-1 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Espinal-Neiva : 22-1 0.6 0.445 1.0 0.540 1.8202 0.1806710
## Espinal-Yopal : 22-1 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Monteria-Neiva : 22-1 0.5 0.445 1.0 0.375 1.2640 0.2638766
## Monteria-Yopal : 22-1 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Neiva-Yopal : 22-1 -0.6 0.445 1.0 0.540 1.8202 0.1806710
## Aguachica-Espinal : 22-14 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Aguachica-Monteria : 22-14 -0.5 0.445 1.0 0.375 1.2640 0.2638766
## Aguachica-Neiva : 22-14 0.5 0.445 1.0 0.375 1.2640 0.2638766
## Aguachica-Yopal : 22-14 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Espinal-Monteria : 22-14 -0.5 0.445 1.0 0.375 1.2640 0.2638766
## Espinal-Neiva : 22-14 0.5 0.445 1.0 0.375 1.2640 0.2638766
## Espinal-Yopal : 22-14 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Monteria-Neiva : 22-14 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## Monteria-Yopal : 22-14 0.4 0.445 1.0 0.240 0.8090 0.3708196
## Neiva-Yopal : 22-14 -0.6 0.445 1.0 0.540 1.8202 0.1806710
## Aguachica-Espinal : 22-23 0.2 0.445 1.0 0.060 0.2022 0.6539943
## Aguachica-Monteria : 22-23 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Aguachica-Neiva : 22-23 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## Aguachica-Yopal : 22-23 0.2 0.445 1.0 0.060 0.2022 0.6539943
## Espinal-Monteria : 22-23 -0.2 0.445 1.0 0.060 0.2022 0.6539943
## Espinal-Neiva : 22-23 2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## Espinal-Yopal : 22-23 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Monteria-Neiva : 22-23 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## Monteria-Yopal : 22-23 0.2 0.445 1.0 0.060 0.2022 0.6539943
## Neiva-Yopal : 22-23 -2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## Aguachica-Espinal : 22-31 -0.4 0.445 1.0 0.240 0.8090 0.3708196
## Aguachica-Monteria : 22-31 -0.4 0.445 1.0 0.240 0.8090 0.3708196
## Aguachica-Neiva : 22-31 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## Aguachica-Yopal : 22-31 -0.4 0.445 1.0 0.240 0.8090 0.3708196
## Espinal-Monteria : 22-31 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Espinal-Neiva : 22-31 2.6 0.445 1.0 10.140 34.1798 7.956e-08 ***
## Espinal-Yopal : 22-31 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Monteria-Neiva : 22-31 2.6 0.445 1.0 10.140 34.1798 7.956e-08 ***
## Monteria-Yopal : 22-31 0.0 0.445 1.0 0.000 0.0000 1.0000000
## Neiva-Yopal : 22-31 -2.6 0.445 1.0 10.140 34.1798 7.956e-08 ***
## Aguachica-Espinal : 22-53 2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## Aguachica-Monteria : 22-53 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Aguachica-Neiva : 22-53 2.5 0.445 1.0 9.375 31.6011 2.101e-07 ***
## Aguachica-Yopal : 22-53 -0.2 0.445 1.0 0.060 0.2022 0.6539943
## Espinal-Monteria : 22-53 -2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## Espinal-Neiva : 22-53 0.5 0.445 1.0 0.375 1.2640 0.2638766
## Espinal-Yopal : 22-53 -2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## Monteria-Neiva : 22-53 2.6 0.445 1.0 10.140 34.1798 7.956e-08 ***
## Monteria-Yopal : 22-53 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Neiva-Yopal : 22-53 -2.7 0.445 1.0 10.935 36.8596 2.968e-08 ***
## Aguachica-Espinal : 22-55 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Aguachica-Monteria : 22-55 -0.7 0.445 1.0 0.735 2.4775 0.1189926
## Aguachica-Neiva : 22-55 1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## Aguachica-Yopal : 22-55 -0.2 0.445 1.0 0.060 0.2022 0.6539943
## Espinal-Monteria : 22-55 -0.6 0.445 1.0 0.540 1.8202 0.1806710
## Espinal-Neiva : 22-55 1.8 0.445 1.0 4.860 16.3820 0.0001093 ***
## Espinal-Yopal : 22-55 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Monteria-Neiva : 22-55 2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## Monteria-Yopal : 22-55 0.5 0.445 1.0 0.375 1.2640 0.2638766
## Neiva-Yopal : 22-55 -1.9 0.445 1.0 5.415 18.2528 4.792e-05 ***
## Aguachica-Espinal : 22-70 -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## Aguachica-Monteria : 22-70 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Aguachica-Neiva : 22-70 1.4 0.445 1.0 2.940 9.9101 0.0022300 **
## Aguachica-Yopal : 22-70 -1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## Espinal-Monteria : 22-70 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## Espinal-Neiva : 22-70 2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## Espinal-Yopal : 22-70 -0.1 0.445 1.0 0.015 0.0506 0.8225983
## Monteria-Neiva : 22-70 1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## Monteria-Yopal : 22-70 -1.1 0.445 1.0 1.815 6.1180 0.0152583 *
## Neiva-Yopal : 22-70 -2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## Aguachica-Espinal : 22-99 -0.2 0.445 1.0 0.060 0.2022 0.6539943
## Aguachica-Monteria : 22-99 -2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## Aguachica-Neiva : 22-99 1.1 0.445 1.0 1.815 6.1180 0.0152583 *
## Aguachica-Yopal : 22-99 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Espinal-Monteria : 22-99 -1.8 0.445 1.0 4.860 16.3820 0.0001093 ***
## Espinal-Neiva : 22-99 1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## Espinal-Yopal : 22-99 0.3 0.445 1.0 0.135 0.4551 0.5016728
## Monteria-Neiva : 22-99 3.1 0.445 1.0 14.415 48.5899 5.080e-10 ***
## Monteria-Yopal : 22-99 2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## Neiva-Yopal : 22-99 -1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## Aguachica-Espinal : Testigo 0.3 0.445 1.0 0.135 0.4551 0.5016728
## Aguachica-Monteria : Testigo 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Aguachica-Neiva : Testigo 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## Aguachica-Yopal : Testigo 0.4 0.445 1.0 0.240 0.8090 0.3708196
## Espinal-Monteria : Testigo -0.2 0.445 1.0 0.060 0.2022 0.6539943
## Espinal-Neiva : Testigo 0.7 0.445 1.0 0.735 2.4775 0.1189926
## Espinal-Yopal : Testigo 0.1 0.445 1.0 0.015 0.0506 0.8225983
## Monteria-Neiva : Testigo 0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## Monteria-Yopal : Testigo 0.3 0.445 1.0 0.135 0.4551 0.5016728
## Neiva-Yopal : Testigo -0.6 0.445 1.0 0.540 1.8202 0.1806710
## Residuals 90.000 26.7
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
#Efectos simples de Genotipo
testInteractions(anova, pairwise = "Gen", fixed = "Loc", adjust = "none")
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
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## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
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## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in printHypothesis(L, rhs, names(b)): one or more coefficients in the hypothesis include
## arithmetic operators in their names;
## the printed representation of the hypothesis will be omitted
## Warning in rbind(deparse.level, ...): number of columns of result, 6, is not a
## multiple of vector length 5 of arg 2
## F Test:
## P-value adjustment method: none
## Value SE Df Sum of Sq F Pr(>F)
## 22-1-22-14 : Aguachica 0.7 0.445 1.0 0.735 2.4775 0.1189926
## 22-1-22-23 : Aguachica -2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-1-22-31 : Aguachica -3.1 0.445 1.0 14.415 48.5899 5.080e-10 ***
## 22-1-22-53 : Aguachica -3.0 0.445 1.0 13.500 45.5056 1.427e-09 ***
## 22-1-22-55 : Aguachica -1.4 0.445 1.0 2.940 9.9101 0.0022300 **
## 22-1-22-70 : Aguachica -2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## 22-1-22-99 : Aguachica -1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## 22-1-Testigo : Aguachica -0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-14-22-23 : Aguachica -2.9 0.445 1.0 12.615 42.5225 3.971e-09 ***
## 22-14-22-31 : Aguachica -3.8 0.445 1.0 21.660 73.0112 3.044e-13 ***
## 22-14-22-53 : Aguachica -3.7 0.445 1.0 20.535 69.2191 8.906e-13 ***
## 22-14-22-55 : Aguachica -2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-14-22-70 : Aguachica -3.0 0.445 1.0 13.500 45.5056 1.427e-09 ***
## 22-14-22-99 : Aguachica -1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-14-Testigo : Aguachica -0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-23-22-31 : Aguachica -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-23-22-53 : Aguachica -0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-23-22-55 : Aguachica 0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-23-22-70 : Aguachica -0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-23-22-99 : Aguachica 1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-23-Testigo : Aguachica 2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-31-22-53 : Aguachica 0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-31-22-55 : Aguachica 1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-31-22-70 : Aguachica 0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-31-22-99 : Aguachica 2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-31-Testigo : Aguachica 3.0 0.445 1.0 13.500 45.5056 1.427e-09 ***
## 22-53-22-55 : Aguachica 1.6 0.445 1.0 3.840 12.9438 0.0005242 ***
## 22-53-22-70 : Aguachica 0.7 0.445 1.0 0.735 2.4775 0.1189926
## 22-53-22-99 : Aguachica 2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## 22-53-Testigo : Aguachica 2.9 0.445 1.0 12.615 42.5225 3.971e-09 ***
## 22-55-22-70 : Aguachica -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-55-22-99 : Aguachica 0.4 0.445 1.0 0.240 0.8090 0.3708196
## 22-55-Testigo : Aguachica 1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## 22-70-22-99 : Aguachica 1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## 22-70-Testigo : Aguachica 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-99-Testigo : Aguachica 0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-1-22-14 : Espinal 0.6 0.445 1.0 0.540 1.8202 0.1806710
## 22-1-22-23 : Espinal -2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-1-22-31 : Espinal -3.6 0.445 1.0 19.440 65.5281 2.597e-12 ***
## 22-1-22-53 : Espinal -1.1 0.445 1.0 1.815 6.1180 0.0152583 *
## 22-1-22-55 : Espinal -1.6 0.445 1.0 3.840 12.9438 0.0005242 ***
## 22-1-22-70 : Espinal -3.3 0.445 1.0 16.335 55.0618 6.275e-11 ***
## 22-1-22-99 : Espinal -1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## 22-1-Testigo : Espinal 0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-14-22-23 : Espinal -2.7 0.445 1.0 10.935 36.8596 2.968e-08 ***
## 22-14-22-31 : Espinal -4.2 0.445 1.0 26.460 89.1910 4.094e-15 ***
## 22-14-22-53 : Espinal -1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-14-22-55 : Espinal -2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-14-22-70 : Espinal -3.9 0.445 1.0 22.815 76.9045 1.038e-13 ***
## 22-14-22-99 : Espinal -1.9 0.445 1.0 5.415 18.2528 4.792e-05 ***
## 22-14-Testigo : Espinal -0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-23-22-31 : Espinal -1.5 0.445 1.0 3.375 11.3764 0.0010983 **
## 22-23-22-53 : Espinal 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## 22-23-22-55 : Espinal 0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-23-22-70 : Espinal -1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-23-22-99 : Espinal 0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-23-Testigo : Espinal 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-31-22-53 : Espinal 2.5 0.445 1.0 9.375 31.6011 2.101e-07 ***
## 22-31-22-55 : Espinal 2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## 22-31-22-70 : Espinal 0.3 0.445 1.0 0.135 0.4551 0.5016728
## 22-31-22-99 : Espinal 2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## 22-31-Testigo : Espinal 3.7 0.445 1.0 20.535 69.2191 8.906e-13 ***
## 22-53-22-55 : Espinal -0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-53-22-70 : Espinal -2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-53-22-99 : Espinal -0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-53-Testigo : Espinal 1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-55-22-70 : Espinal -1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-55-22-99 : Espinal 0.3 0.445 1.0 0.135 0.4551 0.5016728
## 22-55-Testigo : Espinal 1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-70-22-99 : Espinal 2.0 0.445 1.0 6.000 20.2247 2.047e-05 ***
## 22-70-Testigo : Espinal 3.4 0.445 1.0 17.340 58.4494 2.182e-11 ***
## 22-99-Testigo : Espinal 1.4 0.445 1.0 2.940 9.9101 0.0022300 **
## 22-1-22-14 : Monteria 0.0 0.445 1.0 0.000 0.0000 1.0000000
## 22-1-22-23 : Monteria -2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## 22-1-22-31 : Monteria -3.7 0.445 1.0 20.535 69.2191 8.906e-13 ***
## 22-1-22-53 : Monteria -3.3 0.445 1.0 16.335 55.0618 6.275e-11 ***
## 22-1-22-55 : Monteria -2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## 22-1-22-70 : Monteria -2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## 22-1-22-99 : Monteria -3.2 0.445 1.0 15.360 51.7753 1.792e-10 ***
## 22-1-Testigo : Monteria -0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-14-22-23 : Monteria -2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## 22-14-22-31 : Monteria -3.7 0.445 1.0 20.535 69.2191 8.906e-13 ***
## 22-14-22-53 : Monteria -3.3 0.445 1.0 16.335 55.0618 6.275e-11 ***
## 22-14-22-55 : Monteria -2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## 22-14-22-70 : Monteria -2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## 22-14-22-99 : Monteria -3.2 0.445 1.0 15.360 51.7753 1.792e-10 ***
## 22-14-Testigo : Monteria -0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-23-22-31 : Monteria -1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## 22-23-22-53 : Monteria -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-23-22-55 : Monteria 0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-23-22-70 : Monteria 0.0 0.445 1.0 0.000 0.0000 1.0000000
## 22-23-22-99 : Monteria -0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-23-Testigo : Monteria 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-31-22-53 : Monteria 0.4 0.445 1.0 0.240 0.8090 0.3708196
## 22-31-22-55 : Monteria 1.4 0.445 1.0 2.940 9.9101 0.0022300 **
## 22-31-22-70 : Monteria 1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## 22-31-22-99 : Monteria 0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-31-Testigo : Monteria 3.5 0.445 1.0 18.375 61.9382 7.547e-12 ***
## 22-53-22-55 : Monteria 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## 22-53-22-70 : Monteria 0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-53-22-99 : Monteria 0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-53-Testigo : Monteria 3.1 0.445 1.0 14.415 48.5899 5.080e-10 ***
## 22-55-22-70 : Monteria -0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-55-22-99 : Monteria -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-55-Testigo : Monteria 2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-70-22-99 : Monteria -0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-70-Testigo : Monteria 2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-99-Testigo : Monteria 3.0 0.445 1.0 13.500 45.5056 1.427e-09 ***
## 22-1-22-14 : Neiva 0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-1-22-23 : Neiva -0.7 0.445 1.0 0.735 2.4775 0.1189926
## 22-1-22-31 : Neiva -1.6 0.445 1.0 3.840 12.9438 0.0005242 ***
## 22-1-22-53 : Neiva -1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-1-22-55 : Neiva -0.4 0.445 1.0 0.240 0.8090 0.3708196
## 22-1-22-70 : Neiva -1.6 0.445 1.0 3.840 12.9438 0.0005242 ***
## 22-1-22-99 : Neiva -0.6 0.445 1.0 0.540 1.8202 0.1806710
## 22-1-Testigo : Neiva 0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-14-22-23 : Neiva -1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-14-22-31 : Neiva -2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-14-22-53 : Neiva -1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-14-22-55 : Neiva -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-14-22-70 : Neiva -2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-14-22-99 : Neiva -1.1 0.445 1.0 1.815 6.1180 0.0152583 *
## 22-14-Testigo : Neiva -0.3 0.445 1.0 0.135 0.4551 0.5016728
## 22-23-22-31 : Neiva -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-23-22-53 : Neiva -0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-23-22-55 : Neiva 0.3 0.445 1.0 0.135 0.4551 0.5016728
## 22-23-22-70 : Neiva -0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-23-22-99 : Neiva 0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-23-Testigo : Neiva 0.9 0.445 1.0 1.215 4.0955 0.0459630 *
## 22-31-22-53 : Neiva 0.4 0.445 1.0 0.240 0.8090 0.3708196
## 22-31-22-55 : Neiva 1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-31-22-70 : Neiva 0.0 0.445 1.0 0.000 0.0000 1.0000000
## 22-31-22-99 : Neiva 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## 22-31-Testigo : Neiva 1.8 0.445 1.0 4.860 16.3820 0.0001093 ***
## 22-53-22-55 : Neiva 0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-53-22-70 : Neiva -0.4 0.445 1.0 0.240 0.8090 0.3708196
## 22-53-22-99 : Neiva 0.6 0.445 1.0 0.540 1.8202 0.1806710
## 22-53-Testigo : Neiva 1.4 0.445 1.0 2.940 9.9101 0.0022300 **
## 22-55-22-70 : Neiva -1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-55-22-99 : Neiva -0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-55-Testigo : Neiva 0.6 0.445 1.0 0.540 1.8202 0.1806710
## 22-70-22-99 : Neiva 1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## 22-70-Testigo : Neiva 1.8 0.445 1.0 4.860 16.3820 0.0001093 ***
## 22-99-Testigo : Neiva 0.8 0.445 1.0 0.960 3.2360 0.0753903 .
## 22-1-22-14 : Yopal 0.5 0.445 1.0 0.375 1.2640 0.2638766
## 22-1-22-23 : Yopal -2.1 0.445 1.0 6.615 22.2978 8.542e-06 ***
## 22-1-22-31 : Yopal -3.6 0.445 1.0 19.440 65.5281 2.597e-12 ***
## 22-1-22-53 : Yopal -3.3 0.445 1.0 16.335 55.0618 6.275e-11 ***
## 22-1-22-55 : Yopal -1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-1-22-70 : Yopal -3.4 0.445 1.0 17.340 58.4494 2.182e-11 ***
## 22-1-22-99 : Yopal -1.0 0.445 1.0 1.500 5.0562 0.0269794 *
## 22-1-Testigo : Yopal 0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-14-22-23 : Yopal -2.6 0.445 1.0 10.140 34.1798 7.956e-08 ***
## 22-14-22-31 : Yopal -4.1 0.445 1.0 25.215 84.9944 1.203e-14 ***
## 22-14-22-53 : Yopal -3.8 0.445 1.0 21.660 73.0112 3.044e-13 ***
## 22-14-22-55 : Yopal -2.2 0.445 1.0 7.260 24.4719 3.485e-06 ***
## 22-14-22-70 : Yopal -3.9 0.445 1.0 22.815 76.9045 1.038e-13 ***
## 22-14-22-99 : Yopal -1.5 0.445 1.0 3.375 11.3764 0.0010983 **
## 22-14-Testigo : Yopal -0.3 0.445 1.0 0.135 0.4551 0.5016728
## 22-23-22-31 : Yopal -1.5 0.445 1.0 3.375 11.3764 0.0010983 **
## 22-23-22-53 : Yopal -1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## 22-23-22-55 : Yopal 0.4 0.445 1.0 0.240 0.8090 0.3708196
## 22-23-22-70 : Yopal -1.3 0.445 1.0 2.535 8.5449 0.0043818 **
## 22-23-22-99 : Yopal 1.1 0.445 1.0 1.815 6.1180 0.0152583 *
## 22-23-Testigo : Yopal 2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## 22-31-22-53 : Yopal 0.3 0.445 1.0 0.135 0.4551 0.5016728
## 22-31-22-55 : Yopal 1.9 0.445 1.0 5.415 18.2528 4.792e-05 ***
## 22-31-22-70 : Yopal 0.2 0.445 1.0 0.060 0.2022 0.6539943
## 22-31-22-99 : Yopal 2.6 0.445 1.0 10.140 34.1798 7.956e-08 ***
## 22-31-Testigo : Yopal 3.8 0.445 1.0 21.660 73.0112 3.044e-13 ***
## 22-53-22-55 : Yopal 1.6 0.445 1.0 3.840 12.9438 0.0005242 ***
## 22-53-22-70 : Yopal -0.1 0.445 1.0 0.015 0.0506 0.8225983
## 22-53-22-99 : Yopal 2.3 0.445 1.0 7.935 26.7472 1.392e-06 ***
## 22-53-Testigo : Yopal 3.5 0.445 1.0 18.375 61.9382 7.547e-12 ***
## 22-55-22-70 : Yopal -1.7 0.445 1.0 4.335 14.6124 0.0002428 ***
## 22-55-22-99 : Yopal 0.7 0.445 1.0 0.735 2.4775 0.1189926
## 22-55-Testigo : Yopal 1.9 0.445 1.0 5.415 18.2528 4.792e-05 ***
## 22-70-22-99 : Yopal 2.4 0.445 1.0 8.640 29.1236 5.457e-07 ***
## 22-70-Testigo : Yopal 3.6 0.445 1.0 19.440 65.5281 2.597e-12 ***
## 22-99-Testigo : Yopal 1.2 0.445 1.0 2.160 7.2809 0.0083220 **
## Residuals 90.000 26.7
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
#Regresion Metodo Eberhart & Russell
#Regression-based stability analysis using the Eberhart and Russell (1966) model.
Regresion = ge_reg(.data = DF, env = Loc, gen = Gen, rep = Rep, resp = Rendimiento)
## Evaluating trait Rendimiento |===================================| 100% 00:00:00
Regresion
## Variable Rendimiento
## ---------------------------------------------------------------------------
## Joint-regression Analysis of variance
## ---------------------------------------------------------------------------
## # A tibble: 16 × 6
## SV Df `Sum Sq` `Mean Sq` `F value` `Pr(>F)`
## <chr> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 "Total" 44 284. 6.45 NA NA
## 2 "GEN" 8 197. 24.6 33.3 4.92e-12
## 3 "ENV + (GEN x ENV)" 36 87.1 2.42 NA NA
## 4 "ENV (linear)" 1 56.8 56.8 NA NA
## 5 " GEN x ENV (linear)" 8 10.3 1.29 1.75 1.32e- 1
## 6 "Pooled deviation" 27 19.9 0.739 NA NA
## 7 "22-1" 3 0.189 0.0629 0.221 8.81e- 1
## 8 "22-14" 3 0.219 0.0731 0.257 8.56e- 1
## 9 "22-23" 3 0.485 0.162 0.568 6.38e- 1
## 10 "22-31" 3 0.918 0.306 1.08 3.64e- 1
## 11 "22-53" 3 7.02 2.34 8.23 7.74e- 5
## 12 "22-55" 3 0.145 0.0482 0.170 9.17e- 1
## 13 "22-70" 3 4.70 1.57 5.51 1.72e- 3
## 14 "22-99" 3 5.95 1.98 6.97 3.16e- 4
## 15 "Testigo" 3 0.324 0.108 0.380 7.67e- 1
## 16 "Pooled error" 80 22.7 0.284 NA NA
## ---------------------------------------------------------------------------
## Regression parameters
## ---------------------------------------------------------------------------
## # A tibble: 9 × 10
## GEN b0 b1 `t(b1=1)`[,1] pval_t[,1] s2di `F(s2di=0)` pval_f RMSE
## <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 22-1 3.58 0.341 -3.10 0.00264 -0.0738 0.221 8.81e-1 0.112
## 2 22-14 3.12 0.455 -2.57 0.0120 -0.0704 0.257 8.56e-1 0.121
## 3 22-23 5.48 1.27 1.28 0.203 -0.0409 0.568 6.38e-1 0.180
## 4 22-31 6.7 1.51 2.42 0.0180 0.00725 1.08 3.64e-1 0.247
## 5 22-53 5.96 1.45 2.13 0.0364 0.685 8.23 7.74e-5 0.684
## 6 22-55 5.06 1.25 1.18 0.243 -0.0787 0.170 9.17e-1 0.0982
## 7 22-70 6.18 1.02 0.0871 0.931 0.427 5.51 1.72e-3 0.560
## 8 22-99 5 1.21 0.988 0.326 0.566 6.97 3.16e-4 0.630
## 9 Test… 3.54 0.489 -2.41 0.0184 -0.0587 0.380 7.67e-1 0.147
## # ℹ 1 more variable: R2 <dbl>
## ---------------------------------------------------------------------------
## Variance of b0: 0.01895
## Variance of b1: 0.04504278
plot(Regresion)
#Modelo AMMI
Ammi = performs_ammi(DF, env = Loc, gen = Gen, rep = Rep, resp = Rendimiento, verbose = T) #2-axis PC1 y PC2 = >72%
## variable Rendimiento
## ---------------------------------------------------------------------------
## AMMI analysis table
## ---------------------------------------------------------------------------
## Source Df Sum Sq Mean Sq F value Pr(>F) Proportion Accumulated
## ENV 4 56.80 14.199 35.86 6.67e-06 NA NA
## REP(ENV) 10 3.96 0.396 1.39 1.99e-01 NA NA
## GEN 8 196.57 24.571 86.44 3.82e-36 NA NA
## GEN:ENV 32 30.29 0.946 3.33 7.13e-06 NA NA
## PC1 11 11.82 1.074 3.78 2.00e-04 39.0 39.0
## PC2 9 10.00 1.111 3.91 4.00e-04 33.0 72.0
## PC3 7 7.42 1.060 3.73 1.50e-03 24.5 96.5
## PC4 5 1.05 0.210 0.74 5.96e-01 3.5 100.0
## Residuals 80 22.74 0.284 NA NA NA NA
## Total 166 340.64 2.052 NA NA NA NA
## ---------------------------------------------------------------------------
##
## All variables with significant (p < 0.05) genotype-vs-environment interaction
## Done!
#Estimacion de la variable respuesta basada en ejes simplificativos del IPCA
#predict is a generic function for predictions from the results of various model fitting functions. The function invokes particular methods which depend on the class of the first argument.
Predicted_RC = predict(Ammi, naxis = 2)
View(Predicted_RC)
#BiPlot Type 1
a = plot_scores(Ammi)
b = plot_scores(Ammi,
col.gen = "black",
col.env = "gray70",
col.segm.env = "gray70",
axis.expand = 1.5,
plot_theme = theme_metan(grid = "both"))
arrange_ggplot(a, b, tag_levels = "a")
#Biplot Type 2
c = plot_scores(Ammi, type = 2,
polygon = T,
col.segm.env = "transparent",
axis.expand = 1.5,
plot_theme = theme_metan_minimal())
#Exactitud de prediccion de los modelos
Regresion_C = cor(Predicted_RC$Y, Predicted_RC$Ypred)*100
Ammi_C = cor(Predicted_RC$Y, Predicted_RC$YpredAMMI)*100