Nothing
"ilr" <-
function(X){
# isometric logratio transformation
X.ilr=matrix(NA,nrow=nrow(X),ncol=ncol(X)-1)
for (i in 1:ncol(X.ilr)){
X.ilr[,i]=sqrt((i)/(i+1))*log(((apply(as.matrix(X[,1:i]), 1, prod))^(1/i))/(X[,i+1]))
}
return(X.ilr)
}
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