model.MGPCM: Compute MGPCM Category Response Probabilities

In ForceChoice: Forced-Choice Modeling Based on Item Response Theory and Cognitive Diagnostic Models

Compute MGPCM Category Response Probabilities

Description

Compute MGPCM Category Response Probabilities

Usage

model.MGPCM(theta, par)

Arguments

theta	N \times D matrix of latent trait values.
par	I \times (D + \max K_i) parameter matrix with columns a1..aD, d0, d1, .... Missing category columns for shorter items should be NA; d0 is typically fixed at 0.

Value

An N \times \sum_i K_i matrix of category probabilities (stacked by item), where P(Y_{ij}=k) \propto \exp\{k\,\mathbf{a}_i' \boldsymbol{\theta}_j + d_{ik}\}.

ForceChoice documentation built on Sept. 13, 2026, 1:06 a.m.