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#'Comparacoes multiplas multivariadas
#'
#' @description Esta funcao retorna o resultado da comparacao multiplas (dois a dois)
#' com abordagem multivariada.
#' @name PairComp
#' @usage PairComp(MANOVA,adjust="bonferroni",test="Pillai",Sig=0.05)
#' @param MANOVA Resultado da funcao MANOVA
#' @param adjust Ajuste da significancia para o teste de comparacao multipla.
#' Pode ser: "holm", "hochberg", "hommel", "bonferroni", "BH", "BY",
#' "fdr" ou "none".
#' @param test Teste considerado na MANOVA. Pode ser:"Pillai", "Wilks",
#' "Hotelling-Lawley" ou "Roy"
#' @param Sig Significancia a ser considerado. Default e 0.05.
#' @return A funcao as comparações multiplas para os tratamentos.
#' @seealso \code{\link{lm}}, \code{\link{manova}}
#' @references
#' PlayList "Curso de Analise Multivariada":
#' https://www.youtube.com/playlist?list=PLvth1ZcREyK72M3lFl7kBaHiVh5W53mlR
#'
#'
#' CRUZ, C.D. and CARNEIRO, P.C.S. Modelos biometricos aplicados ao
#' melhoramento genetico. 3nd Edition. Vicosa, UFV, v.2, 2014. 668p. (ISBN: 8572691510)
#'
#' Da Silva, A.R.; Malafaia, G.; Menezes, I.P.P. (2017) biotools: an R function
#' to predict spatial gene diversity via an individual-based approach. Genetics
#' and Molecular Research, 16: gmr16029655.
#'
#' FERREIRA, D.F. Estatistica Multivariada. (2018) 3ed. UFLA. 624p. (ISBN 13:978 8581270630)
#'
#' Krzanowski, W. J. (1988) Principles of Multivariate Analysis. A User's Perspective. Oxford.
#'
#' HAIR, J.F. Multivariate Data Analysis. (2016) 6ed. Pearson Prentice HalL.
#' (ISBN 13:978 0138132637)
#' @examples
#' \donttest{
#' #Delineamento inteiramente casualizado (DIC)
#' data("Dados.DIC")
#' Res=MANOVA(Dados.DIC,1)
#' PairComp(Res)
#'
#' #Delineamento em blocos casualizados (DBC)
#' data(Dados.DBC)
#' Res=MANOVA(Dados.DBC,2)
#' PairComp(Res)
#'
#' #Delineamento em quadrado latino (DQL)
#' data(Dados.DQL)
#' Res=MANOVA(Dados.DQL,3)
#' PairComp(Res)
#'
#' #Esquema fatorial duplo em DIC
#' data(Dados.Fat2.DIC)
#' Res=MANOVA(Dados.Fat2.DIC,4)
#' PairComp(Res)
#'
#' #Esquema fatorial duplo em DBC
#' data(Dados.Fat2.DBC)
#' Res=MANOVA(Dados.Fat2.DBC,5)
#' PairComp(Res)
#'
#' #' #Esquema fatorial triplo em DIC
#' data(Dados.Fat3.DIC)
#' Res=MANOVA(Dados.Fat3.DIC,6)
#' PairComp(Res)
#'
#' #Esquema fatorial triplo em DBC
#' data(Dados.Fat3.DBC)
#' Res=MANOVA(Dados.Fat3.DBC,7)
#' PairComp(Res)
#' }
#'
#' @importFrom biotools mvpaircomp
#' @export
#' @exportS3Method print MANOVA
PairComp=function(MANOVA,adjust="bonferroni",test="Pillai",Sig=0.05){
res=MANOVA
D=res$Data
Modelo=res$Modelo
#Dic
if(Modelo==1){
Trat= as.factor(D[,1])
Y=as.matrix(D[,-(1:2)])
M <- lm(Y ~ Trat)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCM=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=TCM
}
#DBC
if(Modelo==2){
Trat= as.factor(D[,1])
Bloco= as.factor(D[,2])
Y=as.matrix(D[,-(1:2)])
M <- lm(Y ~ Trat+Bloco)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCM=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=TCM
}
#DQL
if(Modelo==3){
Trat= as.factor(D[,1])
Linha= as.factor(D[,2])
Coluna= as.factor(D[,3])
Y=as.matrix(D[,-(1:3)])
M <- lm(Y ~ Trat+Linha,Coluna)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCM=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=TCM
}
#Fat2Dic
if(Modelo==4){
FatorA= as.factor(D[,1])
FatorB= as.factor(D[,2])
#Bloco= as.factor(D[,3])
Y=as.matrix(D[,-(1:3)])
M <- lm(Y ~ FatorA*FatorB)
res2=mvpaircomp(M, factor1 = "FatorA",test = test, adjust = adjust)
TCMa=CompMed(n=length(unique(FatorA)),Pvalor=res2$st[,5,1],Sig=Sig)
res2=mvpaircomp(M, factor1 = "FatorB",test = test, adjust = adjust)
TCMb=CompMed(n=length(unique(FatorB)),Pvalor=res2$st[,5,1],Sig=Sig)
Trat=FatorA:FatorB
M <- lm(Y ~ Trat)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCMab=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=list(FA=TCMa,FB=TCMb,FAB=TCMab)
}
#Fat2Dbc
if(Modelo==5){
FatorA= as.factor(D[,1])
FatorB= as.factor(D[,2])
Bloco= as.factor(D[,3])
Y=as.matrix(D[,-(1:3)])
M <- lm(Y ~ FatorA*FatorB+Bloco)
res2=mvpaircomp(M, factor1 = "FatorA",test = test, adjust = adjust)
TCMa=CompMed(n=length(unique(FatorA)),Pvalor=res2$st[,5,1],Sig=Sig)
res2=mvpaircomp(M, factor1 = "FatorB",test = test, adjust = adjust)
TCMb=CompMed(n=length(unique(FatorB)),Pvalor=res2$st[,5,1],Sig=Sig)
Trat=FatorA:FatorB
M <- lm(Y ~ Trat+Bloco)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCMab=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=list(FA=TCMa,FB=TCMb,FAB=TCMab)
}
#Fat3Dic
if(Modelo==6){
FatorA= as.factor(D[,1])
FatorB= as.factor(D[,2])
FatorC= as.factor(D[,3])
Y=as.matrix(D[,-(1:4)])
M <- lm(Y ~ FatorA*FatorB*FatorC)
res2=mvpaircomp(M, factor1 = "FatorA",test = test, adjust = adjust)
TCMa=CompMed(n=length(unique(FatorA)),Pvalor=res2$st[,5,1],Sig=Sig)
res2=mvpaircomp(M, factor1 = "FatorB",test = test, adjust = adjust)
TCMb=CompMed(n=length(unique(FatorB)),Pvalor=res2$st[,5,1],Sig=Sig)
res2=mvpaircomp(M, factor1 = "FatorC",test = test, adjust = adjust)
TCMc=CompMed(n=length(unique(FatorB)),Pvalor=res2$st[,5,1],Sig=Sig)
Trat=FatorA:FatorB:FatorC
M <- lm(Y ~ Trat)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCMab=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=list(FA=TCMa,FB=TCMb,FC=TCMc,FABC=TCMab)
}
#Fat3Dbc
if(Modelo==7){
FatorA= as.factor(D[,1])
FatorB= as.factor(D[,2])
FatorC= as.factor(D[,3])
Bloco= as.factor(D[,4])
Y=as.matrix(D[,-(1:4)])
M <- lm(Y ~ FatorA*FatorB*FatorC+Bloco)
res2=mvpaircomp(M, factor1 = "FatorA",test = test, adjust = adjust)
TCMa=CompMed(n=length(unique(FatorA)),Pvalor=res2$st[,5,1],Sig=Sig)
res2=mvpaircomp(M, factor1 = "FatorB",test = test, adjust = adjust)
TCMb=CompMed(n=length(unique(FatorB)),Pvalor=res2$st[,5,1],Sig=Sig)
res2=mvpaircomp(M, factor1 = "FatorC",test = test, adjust = adjust)
TCMc=CompMed(n=length(unique(FatorB)),Pvalor=res2$st[,5,1],Sig=Sig)
Trat=FatorA:FatorB:FatorC
M <- lm(Y ~ Trat+Bloco)
res2=mvpaircomp(M, factor1 = "Trat",test = test, adjust = adjust)
TCMab=CompMed(n=length(unique(Trat)),Pvalor=res2$st[,5,1],Sig=Sig)
Result=list(FA=TCMa,FB=TCMb,FC=TCMc,FABC=TCMab)
}
return(Result)
}
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