model.FCDCM: Compute FCDCM Block Response Probabilities

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

Compute FCDCM Block Response Probabilities

Description

Compute FCDCM Block Response Probabilities

Usage

model.FCDCM(zeta, par, patterns)

Arguments

zeta	Binary statement-level mastery status matrix.
par	Block parameter matrix. A B \times 2 matrix with columns eta0 and etaAB. Equal-condensation probabilities (\zeta_{A_b}=\zeta_{B_b}) are fixed at 0.5.
patterns	Block statement-pair matrix. Column 1 is the first statement A_b; column 2 is the second statement B_b.

Value

Matrix of probabilities for choosing the first statement in each block: \eta_{0b} if \zeta_{A_b}<\zeta_{B_b}, 0.5 if equal, and 0.5+\eta_{ABb} if \zeta_{A_b}>\zeta_{B_b}.

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