dataPrep <- function(trainingData,numPCs=30){
ind <- names(trainingData)%in%paste("f",1:60,sep="")
Sigma<-as.matrix(t(trainingData[,ind]))%*%as.matrix(trainingData[,ind])
pcs<-as.data.frame(as.matrix(trainingData[,ind])%*%eigen(Sigma)$vectors[,1:numPCs])
names(pcs)<-paste("pc",1:numPCs,sep="")
outData<-cbind(trainingData,pcs)
outData
}
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