#' Reproduce Table 4.1
#'
#' Reproduces Table 4.1 from the book. If you specify any options, your results may look different.
#'
#' @param seed For reproducibility
#'
#' @examples Tab4.1()
#'
#' @export
Tab4.1 <- function(seed=1) {
Data <- readData('bcTCGA')
alpha <- seq(1, 0.25, -0.25)
# Enet
R <- S <- matrix(NA, 2, 4)
for (j in 1:4) {
set.seed(seed)
cvfit <- with(Data, cv.glmnet(X, y, alpha=alpha[j]))
R[1,j] <- 1-min(cvfit$cvm)/var(Data$y)
S[1,j] <- length(predict(cvfit, type='nonzero')[[1]])
}
# Mnet
for (j in 1:4) {
cvfit <- with(Data, cv.ncvreg(X, y, alpha=alpha[j], seed=seed))
R[2,j] <- 1-min(cvfit$cve)/var(Data$y)
S[2,j] <- predict(cvfit, type='nvars')
}
out <- cbind(c(R[1,], R[2,]), c(S[1,], S[2,]))
rownames(out) <- paste(rep(c('enet', 'mnet'), each=4), alpha, sep='-')
colnames(out) <- c('rsq', 'size')
out
}
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