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#' @title Identify Feature Blocks
#' @description \loadmathjax
#' Identify the blocks whose \mjseqn{T^2}-statistic exceeds a
#' threshold determined by permutation.
#'
#' @param x See [plfd()].
#' @param y See [plfd()].
#' @param blockList See [plfd()].
#' @param permNum See [plfd()].
#' @param alpha See [plfd()].
#'
#' @return List with each component including the index of rows and
#' columns of feature blocks.
#'
#' @noRd
get_feature_blocks <- function (x, y, blockList, permNum, alpha) {
rDim <- NROW(x)
cDim <- NCOL(x)
n <- dim(x)[3]
n1 <- sum(y==1)
n2 <- sum(y==2)
stopifnot( n == length(y) )
stopifnot( y %in% 1:2 )
T2 <- rep(NA_real_, length(blockList))
for (i in seq(blockList)) {
rIdx <- blockList[[i]][['rIdx']]
cIdx <- blockList[[i]][['cIdx']]
T2[i] <- get_T2(x[rIdx, cIdx, , drop=FALSE], y)
}
T2Perm <- rep(NA_real_, permNum)
for (iP in seq(permNum)) {
temp <- rep(NA_real_, length(blockList))
for (i in seq(blockList)) {
rIdx <- blockList[[i]][['rIdx']]
cIdx <- blockList[[i]][['cIdx']]
temp[i] <- get_T2(x[rIdx, cIdx, , drop=FALSE], sample(y))
}
T2Perm[iP] <- quantile(temp, 1-alpha)
}
i0 <- union( which(T2 > mean(T2Perm)), which.max(T2) )
return(blockList[i0])
}
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