library(MASS)
MyDataGeneration <- function(n,rho,mc,p,allCor){
varResidual <- 10
theCov <- mc
theVar <- 1
popSigma <- matrix(theCov,nrow=p,ncol=p)
diag(popSigma) <- theVar
X <- mvrnorm(n,rep(0,p),popSigma)
if (rho==0){
varY <- varResidual
}else{
varY <- varResidual/(1-rho)
}
varPreds <- varY-varResidual
if (allCor){
oneCoef <- sqrt(varPreds/(p*theVar+(p^2-p)*theCov))
coefs <- as.matrix(rep(oneCoef,p))
}else{
firstCoef <- sqrt(varPreds/theVar)
coefs <- as.matrix(c(firstCoef,rep(0,p-1)))
}
y <- 100+X%*%coefs+rnorm(n,sd=sqrt(varResidual))
return(list(y=y,X=X,p=p))
}
set.seed(21399)
testData <- MyDataGeneration(20,0.01,0,18,TRUE)
testData <- as.data.frame(cbind(testData$y,testData$X))
x <- lm(V1 ~ .,data=testData)
normalRes <- altR2(x)
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