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 EMRj, X2, G2, S-X2, and PV-Q1) and absolute (Type I error and empirical power) performance. EMRj has utility in discovering misfit.
Dardick, W. R., & Weiss, B. A. (2019). An Investigation of chi-square and entropy based methods of item-fit using item level contamination in item response theory. Journal of Modern Applied Statistical Methods, 18(2), eP3208. doi: 10.22237/jmasm/1604190480