AMMI {agricolae} R Documentation

## AMMI Analysis

### Description

Additive Main Effects and Multiplicative Interaction Models (AMMI) are widely used to analyze main effects and genotype by environment (GEN, ENV) interactions in multilocation variety trials. Furthermore, this function generates data to biplot, triplot graphs and analysis.

### Usage

AMMI(ENV, GEN, REP, Y, MSE = 0,console=FALSE,PC=FALSE)


### Arguments

 ENV Environment GEN Genotype REP Replication Y Response MSE Mean Square Error console ouput TRUE or FALSE PC Principal components ouput TRUE or FALSE

### Value

 ANOVA analysis of variance general genXenv class by, genopyte and environment analysis analysis of variance principal components means average genotype and environment biplot data to produce graphics PC class princomp

F. de Mendiburu

### References

Crossa, J. 1990. Statistical analysis of multilocation trials. Advances in Agronomy 44:55-85

lineXtester,plot.AMMI

### Examples

# Full replications
library(agricolae)
# Example 1
data(plrv)
model<- with(plrv,AMMI(Locality, Genotype, Rep, Yield, console=FALSE))
model$ANOVA # see help(plot.AMMI) # biplot plot(model) # biplot PC1 vs Yield plot(model, first=0,second=1, number=TRUE) # Example 2 data(CIC) data1<-CIC$comas[,c(1,6,7,17,18)]
data2<-CIC$oxapampa[,c(1,6,7,19,20)] cic <- rbind(data1,data2) model<-with(cic,AMMI(Locality, Genotype, Rep, relative)) model$ANOVA
plot(model,0,1,angle=20,ecol="brown")
# Example 3
# Only means. Mean square error is well-known.
data(sinRepAmmi)
REP <- 3
MSerror <- 93.24224
#startgraph
model<-with(sinRepAmmi,AMMI(ENV, GEN, REP, YLD, MSerror,PC=TRUE))
# print anova
print(model$ANOVA,na.print = "") # Biplot with the one restored observed. plot(model,0,1) # with principal components model$PC is class "princomp"
pc<- model$PC pc$loadings
summary(pc)
biplot(pc)
# Principal components by means of the covariance similar AMMI
# It is to compare results with AMMI
cova<-cov(model$genXenv) values<-eigen(cova) total<-sum(values$values)
round(values\$values*100/total,2)
# AMMI: 64.81 18.58 13.50  3.11  0.00


[Package agricolae version 1.3-7 Index]