Nothing
Lcombinefunction <- function(fac.level,ord.fac,facCons,Gorder=3, indTwo=NULL, indThree=NULL){
## Make the difference in three-way interactions
D3function <- function(alevel,blevel,clevel,type="A",ordABC=c(FALSE,FALSE,FALSE)){
if(type=="A"){
D3 <- D3Afunction(alevel=alevel,blevel=blevel,clevel=clevel,ord=ordABC[1])
}else if(type=="B"){
D3 <- D3Bfunction(alevel=alevel,blevel=blevel,clevel=clevel,ord=ordABC[2])
}else if(type=="C"){
D3 <- D3Cfunction(alevel=alevel,blevel=blevel,clevel=clevel,ord=ordABC[3])
}
return(D3)
}
D3Afunction <- function(alevel,blevel,clevel,ord=FALSE){
D3a <- matrix(0,nrow=0,ncol=(alevel*blevel*clevel))
if(ord==FALSE){
for(i in 1:(alevel-1)){
for(j in (i+1):alevel){
base.v <- rep(0,alevel)
base.v[i] <- -1
base.v[j] <- 1
base.mat <- diag((blevel*clevel)) %x% t(base.v)
D3a <- rbind(D3a,base.mat)
}
}
}else if(ord==TRUE){
for(i in 1:(alevel-1)){
base.v <- rep(0,alevel)
base.v[i] <- -1
base.v[(i+1)] <- 1
base.mat <- diag((blevel*clevel)) %x% t(base.v)
D3a <- rbind(D3a,base.mat)
}
}
return(D3a)
}
## (B): Make the difference in two-way interactions
D3Bfunction <- function(alevel,blevel,clevel,ord=FALSE){
if(ord==FALSE){
D3b <- matrix(0,nrow=0,ncol=(alevel*blevel*clevel))
for(i in 1:(blevel-1)){
left.temp <- matrix(0,ncol=((i-1)*(alevel)),nrow=(alevel))
left.main <- -diag((alevel))
left.final <- cbind(left.temp,left.main)
for(j in (i+1):blevel){
middle.temp <- matrix(0,ncol=((j-i-1)*(alevel)),nrow=(alevel))
right.main <- diag((alevel))
right.temp <- matrix(0,ncol=((blevel-j)*(alevel)),nrow=(alevel))
right.final <- cbind(middle.temp,right.main,right.temp)
D2b <- cbind(left.final,right.final) ## The base
D3base <- diag(clevel) %x% D2b
D3b <- rbind(D3b, D3base)
}
}
}else if (ord==TRUE){
D3b <- matrix(0,nrow=0,ncol=(alevel*blevel*clevel))
for(i in 1:(blevel-1)){
left <- matrix(0,ncol=((i-1)*(alevel)),nrow=(alevel))
Main <- cbind(-diag((alevel)),diag((alevel)))
right <- matrix(0,ncol=((blevel-(i+1))*(alevel)),nrow=(alevel))
D2b <- cbind(left,Main,right)
D3base <- diag(clevel) %x% D2b
D3b <- rbind(D3b, D3base)
}
}
return(D3b)
## psy_B(2,3), psy_B(2,4), psy_B(2,5)
}
D3Cfunction <- function(alevel,blevel,clevel,ord=FALSE){
if(ord==FALSE){
D3c <- matrix(0,nrow=0,ncol=(alevel*blevel*clevel))
for(i in 1:(clevel-1)){
left.temp <- matrix(0,ncol=((i-1)*(alevel*blevel)),nrow=(alevel*blevel))
left.main <- -diag((alevel*blevel))
left.final <- cbind(left.temp,left.main)
for(j in (i+1):clevel){
middle.temp <- matrix(0,ncol=((j-i-1)*(alevel*blevel)),nrow=(alevel*blevel))
right.main <- diag((alevel*blevel))
right.temp <- matrix(0,ncol=((clevel-j)*(alevel*blevel)),
nrow=(alevel*blevel))
right.final <- cbind(middle.temp,right.main,right.temp)
D3c <- rbind(D3c,cbind(left.final,right.final))
}
}
}else if (ord==TRUE){
Left <- cbind(-diag((alevel*blevel)*(clevel-1)),
matrix(0,ncol=(alevel*blevel),nrow=(alevel*blevel)*(clevel-1)))
Right <- cbind(matrix(0,ncol=(alevel*blevel),nrow=(alevel*blevel)*(clevel-1)),
diag((alevel*blevel)*(clevel-1)))
D3c <- Left + Right
}
return(D3c)
}
## From this version, I use D2 rather than D3
## Make the difference in two-way interactions
D2function <- function(alevel,blevel,type,ordAB){
if(type=="A"){
D2 <- D2Afunction(alevel=alevel,blevel=blevel,ord=ordAB[1])
}else if(type=="B"){
D2 <- D2Bfunction(alevel=alevel,blevel=blevel,ord=ordAB[2])
}
return(D2)
## D2 matrix
## nrow = differences between two-way interactions fixing the sublevel
## ncol = alevel*blevel (coefficients for two-ways)
}
## (A): Make the difference in two-way interactions
D2Afunction <- function(alevel,blevel,ord=FALSE){
D2a <- matrix(0,nrow=0,ncol=(alevel*blevel))
if(ord==FALSE){
for(i in 1:(alevel-1)){
for(j in (i+1):alevel){
base.v <- rep(0,alevel)
base.v[i] <- -1
base.v[j] <- 1
base.mat <- diag(blevel) %x% t(base.v)
D2a <- rbind(D2a,base.mat)
}
}
}else if(ord==TRUE){
for(i in 1:(alevel-1)){
base.v <- rep(0,alevel)
base.v[i] <- -1
base.v[(i+1)] <- 1
base.mat <- diag(blevel) %x% t(base.v)
D2a <- rbind(D2a,base.mat)
}
}
return(D2a)
}
## (B): Make the difference in two-way interactions
D2Bfunction <- function(alevel,blevel,ord=FALSE){
if(ord==FALSE){
D2b <- matrix(0,nrow=0,ncol=(alevel*blevel))
for(i in 1:(blevel-1)){
left.temp <- matrix(0,ncol=((i-1)*(alevel)),nrow=(alevel))
left.main <- -diag((alevel))
left.final <- cbind(left.temp,left.main)
for(j in (i+1):blevel){
middle.temp <- matrix(0,ncol=((j-i-1)*(alevel)),nrow=(alevel))
right.main <- diag((alevel))
right.temp <- matrix(0,ncol=((blevel-j)*(alevel)),nrow=(alevel))
right.final <- cbind(middle.temp,right.main,right.temp)
D2b <- rbind(D2b,cbind(left.final,right.final))
}
}
}else if (ord==TRUE){
Left <- cbind(-diag((alevel)*(blevel-1)),matrix(0,ncol=alevel,nrow=(alevel)*(blevel-1)))
Right <- cbind(matrix(0,ncol=alevel,nrow=(alevel)*(blevel-1)), diag((alevel)*(blevel-1)))
D2b <- Left + Right
}
return(D2b)
## psy_B(2,3), psy_B(2,4), psy_B(2,5)
}
## (Main): Making the difference between all levels
D1function <- function(nlevel,ord=FALSE){
if(ord==FALSE){
qp = (nlevel)*(nlevel-1)/2
D1.mat <- matrix(0,ncol=(nlevel),nrow=0)
if (qp==1) D1.mat <- matrix(c(-1,1),ncol=2,nrow=1)
if (qp>1){
for(i in 1 : (nlevel-1)){
w.diag <- diag((nlevel-i))
left.v <- c(rep(0,(i-1)),-1)
left.mat <- matrix(rep(left.v,(nlevel-i)),nrow=(nlevel-i),byrow=TRUE)
w.mat <- cbind(left.mat,w.diag)
D1.mat <- rbind(D1.mat,w.mat)
}
}
}else if(ord==TRUE){
if(nlevel==2){
D1.mat <- matrix(c(-1,1),ncol=2,nrow=1)
}else{
D1.mat <- cbind(0,diag(nlevel-1)) + cbind(-diag(nlevel-1),0)
}
}
return(D1.mat)
## nrow = differences between main effects
## ncol = mainlevel (coefficients for the main factor)
}
L1function <- function(nlevel,ord=FALSE){
## Creating L for the main effects
D1 <- D1function(nlevel,ord=ord)
if(ord==FALSE){
qp <- (nlevel)*(nlevel-1)/2
}else if(ord==TRUE){
qp <- nlevel-1
}
L1 <- cbind(D1, -D1, -diag(qp), diag(qp))
return(L1)
}
## From this version, we call this L2 function.
L2function <- function(alevel,blevel,ordAB=c(FALSE,FALSE)){
## Creating L for interaction effects
if(ordAB[1]==FALSE){
r1 <- (blevel)*(alevel)*(alevel-1)/2
}else if(ordAB[1]==TRUE){
r1 <- (blevel)*(alevel-1)
}
if(ordAB[2]==FALSE){
r2 <- (alevel)*(blevel)*(blevel-1)/2
}else if(ordAB[2]==TRUE){
r2 <- (alevel)*(blevel-1)
}
D2a <- D2function(alevel=alevel,blevel=blevel,type="A",ordAB=ordAB)
D2b <- D2function(alevel=alevel,blevel=blevel,type="B",ordAB=ordAB)
zero.r1 <- matrix(0,ncol=r1,nrow=r2)
zero.r2 <- matrix(0,ncol=r2,nrow=r1)
L2top <- cbind(D2a, -D2a, -diag(r1), diag(r1), zero.r2, zero.r2)
L2bottom <- cbind(D2b, -D2b, zero.r1, zero.r1, -diag(r2), diag(r2))
L2 <- rbind(L2top,L2bottom)
return(L2)
}
L3function <- function(alevel,blevel,clevel,ordABC=c(FALSE,FALSE,FALSE)){
## Creating L for interaction effects
if(ordABC[1]==FALSE){
r1 <- (blevel*clevel)*(alevel)*(alevel-1)/2
}else if(ordABC[1]==TRUE){
r1 <- (blevel*clevel)*(alevel-1)
}
if(ordABC[2]==FALSE){
r2 <- (alevel*clevel)*(blevel)*(blevel-1)/2
}else if(ordABC[2]==TRUE){
r2 <- (alevel*clevel)*(blevel-1)
}
if(ordABC[3]==FALSE){
r3 <- (alevel*blevel)*(clevel)*(clevel-1)/2
}else if(ordABC[3]==TRUE){
r3 <- (alevel*blevel)*(clevel-1)
}
D3a <- D3function(alevel=alevel,blevel=blevel,clevel=clevel,type="A",ordABC=ordABC)
D3b <- D3function(alevel=alevel,blevel=blevel,clevel=clevel,type="B",ordABC=ordABC)
D3c <- D3function(alevel=alevel,blevel=blevel,clevel=clevel,type="C",ordABC=ordABC)
zero.1 <- matrix(0,ncol=(2*(r2+r3)),nrow=r1)
zero.2l <- matrix(0,ncol=(2*r1),nrow=r2)
zero.2r <- matrix(0,ncol=(2*r3),nrow=r2)
zero.3 <- matrix(0,ncol=(2*(r1+r2)),nrow=r3)
L3.1 <- cbind(D3a, -D3a, -diag(r1), diag(r1), zero.1)
L3.2 <- cbind(D3b, -D3b, zero.2l, -diag(r2), diag(r2), zero.2r)
L3.3 <- cbind(D3c, -D3c, zero.3, -diag(r3), diag(r3))
L3 <- rbind(L3.1,L3.2,L3.3)
return(L3)
}
## fac.level <- c(4,7,4)
## ord <- c(TRUE,TRUE,TRUE)
## maybe we can change here.
levelIndex <- CreatelevelIndex(fac.level=fac.level,ord.fac=ord.fac,Gorder=Gorder,
indTwo=indTwo, indThree=indThree)
use.ind <- (levelIndex$plus==1) * (levelIndex$dif==0)
Index.use <- levelIndex[use.ind==1,]
Fac.index <- Index.use[,regexpr("Fac",colnames(Index.use))>0]
coef.length <- sum(levelIndex$length)
L.list <- list()
for(z in 1:nrow(Index.use)){
if(Index.use$order[z]==1){
level.main <- fac.level[which(Fac.index[z,]==1)]
ord.main <- ord.fac[which(Fac.index[z,]==1)]
L.list[[z]] <- L1function(nlevel=level.main,ord=ord.main)
}else if(Index.use$order[z]==2){
level.main <- fac.level[which(Fac.index[z,]==1)]
ord.main <- ord.fac[which(Fac.index[z,]==1)]
L.list[[z]] <- L2function(alevel=level.main[1],
blevel=level.main[2],ordAB=ord.main)
}else if(Index.use$order[z]==3){
level.main <- fac.level[which(Fac.index[z,]==1)]
ord.main <- ord.fac[which(Fac.index[z,]==1)]
L.list[[z]] <- L3function(alevel=level.main[1],blevel=level.main[2],
clevel=level.main[3],
ordABC=ord.main)
}
}
Lm <- matrix(0,nrow=0,ncol=(coef.length))
## Need to make this generalizable
for(l in 1:length(L.list)){
L.minilist <- list()
for(ind in 1:length(L.list)){
if(ind!=l){
L.minilist[[ind]] <- matrix(0,nrow=nrow(L.list[[l]]),
ncol=ncol(L.list[[ind]]))
}else if(ind==l){
L.minilist[[ind]] <- L.list[[l]]
}
}
Lb <- do.call(cbind,L.minilist)
Lm <- rbind(Lm,Lb)
}
l.slack <- lengthSlack(fac.level=fac.level,ord.fac=ord.fac,Gorder=Gorder,
facCons=facCons)$l.slack
Lm <- cbind(0,Lm)
Lm <- rbind(0, Lm)
Lslack <- matrix(0,nrow=nrow(Lm),ncol=l.slack)
L <- cbind(Lm,Lslack)
return(L)
}
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