An Investigation of Chi-Square and Entropy Based Methods of Item-Fit Using Item level Contamination in Item Response Theory

Abstract

New variants of entropy as measures of item-fit in item response theory are investigated. Monte Carlo simulation(s) examine aberrant conditions of item-level misfit to evaluate relative (compare EMR_j, X², G², S-X², and PV-Q₁) and absolute (Type I error and empirical power) performance. EMR_j has utility in discovering misfit.