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contrastAsCoef <- function(design, contrast=NULL, first=TRUE)
# Reform a design matrix so that one or more contrasts become simple coefficients
# Gordon Smyth
# 31 August 2013. Last modified 14 Dec 2016.
{
design <- as.matrix(design)
if(is.null(contrast)) return(design)
contrast <- as.matrix(contrast)
if(ncol(design) != nrow(contrast)) stop("Length of contrast doesn't match ncol(design)")
QRc <- qr(contrast)
ncontrasts <- QRc$rank
if(ncontrasts==0) stop("contrast is all zero")
coef <- 1:ncontrasts
designT <- qr.qty(QRc,t(design))
R <- QRc$qr[coef,]
designT[coef,] <- backsolve(R,designT[coef,,drop=FALSE])
design <- t(designT)
colnames(design) <- paste("Q",1:ncol(design),sep="")
cn <- colnames(contrast)
if(is.null(cn)) cn <- paste("C",QRc$pivot[coef],sep="")
colnames(design)[coef] <- cn
if(!first) {
design <- cbind(design[,-coef,drop=FALSE],design[,coef,drop=FALSE])
coef <- rev( ncol(design)-coef+1 )
}
list(design=design,coef=coef,qr=QRc)
}
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