AUTHOR=Jorgensen Terrence D. TITLE=Applying Permutation Tests and Multivariate Modification Indices to Configurally Invariant Models That Need Respecification JOURNAL=Frontiers in Psychology VOLUME=Volume 8 - 2017 YEAR=2017 URL=https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2017.01455 DOI=10.3389/fpsyg.2017.01455 ISSN=1664-1078 ABSTRACT=
The assumption of equivalence between measurement-model configurations across groups is typically investigated by evaluating overall fit of the same model simultaneously to multiple samples. However, the null hypothesis (H0) of configural invariance is distinct from the H0 of overall model fit. Permutation tests of configural invariance yield nominal Type I error rates even when a model does not fit perfectly (Jorgensen et al.,