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#' Simulate category joint distribution
#'
#' This function is mainly used internally, such as for simulating missing data patterns, but is available in case anyone finds it useful.
#'
#' @param data the existing tbl
#' @param ... columns to calculate the joint distribution from, if none are chosen, all columns with 10 or fewer unique values will be chosen
#' @param n the number of total observations to return
#' @param empirical Should the returned data have the exact same distribution of conditions? (versus be sampled from a population with this distribution)
#'
#' @return data table
#' @export
#'
#' @examples
#' sim_joint_dist(ggplot2::diamonds, cut, color, n = 10)
sim_joint_dist <- function(data, ..., n = 100, empirical = FALSE) {
cols <- getcols(data, ...)
# if not specified, choose all columns with < 10 values
if (length(cols) == 0) {
col_unique <- lapply(data, unique) %>%
sapply(length)
cols <- names(data[, col_unique<=10, drop = FALSE])
}
# count instances of each unique combo
grps <- data[cols]
combos <- by(data, grps, function(x) {
y <- x[1, cols, drop = FALSE]
y$.n. <- nrow(x)
y
}) %>% do.call(rbind, .)
# sample n combos with probs from above
prob <- combos$.n.
if (empirical == TRUE) {
n_per_grp <- round(n*prob/sum(prob))
# because of rounding, total is sometimes not n
diff <- n - sum(n_per_grp)
grp_n <- length(n_per_grp)
ndiff <- abs(sum(diff))
if (ndiff > grp_n) {
# more diffs than groups
n_per_grp <- n_per_grp + (floor(ndiff/grp_n) * diff/abs(diff))
# change ndiff to its remainder
ndiff <- ndiff %% grp_n
}
# add or sub 1 to randomly sampled ndiff items from n_per_grp
to_adjust <- sample(1:grp_n, ndiff)
n_per_grp[to_adjust] <- n_per_grp[to_adjust] + diff/abs(diff)
# select each combo n_per_grp times
samp <- rep(1:nrow(combos), n_per_grp)
} else {
samp <- sample(1:nrow(combos), n, TRUE, prob)
}
# make a new data from with sampled combo columns
combos$.n. <- NULL
new_data <- lapply(samp, function(x) {
combos[x, , drop = FALSE]
}) %>% do.call(rbind, .)
rownames(new_data) <- c()
new_data
}
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