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#' Create aan attribution relation on skills from a skill assignment.
#'
#' \code{cdss_sa2ar_skill} expects a skill assignment and derives an attribution relation
#' on skills if the skill assignment fulfills the necessary conditions, i.e. if there
#' is only one teaching LO per skill.
#'
#' @param sa Skill assignment object
#'
#' @return attribution relation or NULL
#'
#' @family functions deriving skill structures from skill assignments
#'
#' @export
cdss_sa2ar_skill <- function(sa) {
if (!(inherits(sa, "cdss_sa"))) {
stop(sprintf("%s must be of class %s.",
dQuote("sa"),
dQuote("cdss_sa")))
}
if (!cdss_sa_describes_sr(sa)) {
stop(sprintf("%s does not describe a surmise relation!", dQuote("sa")))
}
# Determine attribution relation
skills <- dim(sa$taught)[2]
ar <- diag(1, skills, skills)
lapply(rownames(sa$taught), function(x) {
sapply((1:skills), function(y) {
if (sa$taught[x,y]) {
sapply((1:skills), function(z) {
if (sa$taught[x,z]) {ar[y,z] <<- 1}
})
sapply((1:skills), function(z) {
if (sa$required[x,z]) {ar[y,z] <<- 1}
})
}
})
})
colnames(ar) <- colnames(sa$taught)
rownames(ar) <- colnames(sa$taught)
class(ar) <- unique(c("attribution_relation", class(ar)))
t(ar)
}
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