Create the likelihood matrix for a matrix of probabilities of correct response for non-masters and masters marginal only on that attribute.

Create the likelihood matrix for a matrix of probabilities of correct response for non-masters and masters marginal only on that attribute.

Usage

build_response_likelihood(
  item_probs,
  response_patterns = NULL,
  prior = NULL,
  monotonicity = TRUE
)

Arguments

item_probs

a matrix of probabilities for non-masters and masters. Each row is an item.

response_patterns

A binary matrix where each row is one response pattern. If none is passed, then all possible patterns are generated

prior

The prior for non-mastery and mastery ratio of the focus attribute

monotonicity

if true, function will throw an error if any number on the first column is equal or higher than the second column.

Value

a matrix where the first columns contain the response patterns, the likelihood of seeing that pattern given a certain level of mastery. The probability of being a (non)master and the MLE (1 if estimated master, 0 otherwise).