#' Function to count the set in each permutation of X,Y,K
#'
#' Data given in order XYK. Output summary consisent with this naming ordering from Stan Code:
#' XY: order: 00, 01, 10, 11
#' XYK: order 000, 001, 010,...
#' @param D a dataframe or matrix with three columns, X, Y, K
#' @keywords Conversion biqq
#' @export
#' @examples biqq_cases(D = data.frame(X = c(0,1,1), Y = c(1,1,0), K = c(NA, NA, 1)))
biqq_cases = function(D){
n <- nrow(D)
D[is.na(D)] <- 3
count.class <- function(s) sum(colSums(sapply(1:n, function(i) D[i,]==c(s)))==3)
class.types <- cbind(X=c(rep(0:1, each = 2),rep(0:1, each = 4)),
Y=c(rep(0:1,2), rep(rep(0:1, each = 2),2)),
K=c(rep(3, 4), rep(0:1,4)))
classes = apply(class.types,1,count.class)
names(classes) = c("00x", "01x", "10x","11x", "000", "001", "010", "011", "100", "101", "110", "111")
return(classes)
}
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