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#Computation of the information matrix (C-matrix) for a given block/row-column design (des)
cmatbrcd.mae<-function(trt.N,blk.N,theta,des, dtype){
k=2
if(!is.element(dtype,c("blkd","rcd"))){stop("The design type is not correctly specified")}
trtin<-contrasts(as.factor(des),contrasts=FALSE)[as.factor(des),]
blk.1<-rep(1:blk.N,each=2)
blkin<-contrasts(as.factor(blk.1),contrasts=FALSE)[as.factor(blk.1),]
vec.1<-rep(1,blk.N*2)
R.trt<-t(trtin)%*%trtin
N.tb<-t(trtin)%*%blkin
r.trt<-t(trtin)%*%vec.1
cmat<-R.trt-(1/k)*(N.tb%*%t(N.tb))+theta*((1/k)*(N.tb%*%t(N.tb))-(1/(blk.N*k))*(r.trt%*%t(r.trt)))
if(dtype=="rcd"){
forrow.1=contrasts(as.factor(c(des[1,],seq(1:trt.N))),contrasts=FALSE)[as.factor(c(des[1,],seq(1:trt.N))),]
forrow.2=contrasts(as.factor(c(des[2,],seq(1:trt.N))),contrasts=FALSE)[as.factor(c(des[2,],seq(1:trt.N))),]
mmmat.r=t(rbind(t(as.matrix(colSums(forrow.1)-1)), t(as.matrix(colSums(forrow.2)-1))))%*%
rbind(t(as.matrix(colSums(forrow.1)-1)), t(as.matrix(colSums(forrow.2)-1)))
cmat<-cmat-(1/blk.N)*(mmmat.r)+(1/(blk.N*k))*(r.trt%*%t(r.trt))
}
cmat
}#End of computation of C-matrix, cmatbrcd.mae
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