Score‐based measurement invariance checks for Bayesian maximum‐a‐posteriori estimates in item response theory

Debelak, Rudolf; Pawel, Samuel; Strobl, Carolin; Merkle, Edgar C

doi:10.1111/bmsp.12275

Citations

Citation copied

Debelak, R., Pawel, S., Strobl, C., & Merkle, E. C. (2022). Score‐based measurement invariance checks for Bayesian maximum‐a‐posteriori estimates in item response theory. British Journal of Mathematical and Statistical Psychology, 75(3), 728–752. https://doi.org/10.1111/bmsp.12275

Abstract

A family of score-based tests has been proposed in recent years for assessing the invariance of model parameters in several models of item response theory (IRT). These tests were originally developed in a maximum likelihood framework. This study discusses analogous tests for Bayesian maximum-a-posteriori estimates and multiple-group IRT models. We propose two families of statistical tests, which are based on an approximation using a pooled variance method, or on a simulation approach based on asymptotic results. The resulting tests we