Nothing
transform.ilr <- function(x)
{
x.ilr <- x[, -ncol(x), drop=FALSE]
colnames(x.ilr) <- paste("X", 1:ncol(x.ilr), sep="")
rownames(x.ilr) <- NULL
D <- ncol(x)
for (i in 1:ncol(x.ilr)){
x.ilr[,i]=sqrt((D-i)/(D-i+1))*log(((apply(as.matrix(x[,(i+1):D,drop=FALSE]),1,prod))^(1/(D-i)))/(x[,i]))
##x.ilr[,i]=sqrt((D-i)/(D-i+1))*log(apply(as.matrix(x[,(i+1):D]), 1, gm)/(x[,i]))
}
return(-x.ilr)
}
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