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Recently, there has been increased interest in tests of measurement equivalence/ invariance (ME/I). This study uses simulated data with known properties to assess the appropriateness, similarities, and differences between confirmatory factor analysis and item response theory methods of assessing ME/I. Results indicate that although neither approach is without flaw, the item response theory–based approach seems to be better suited for some types of ME/I analyses.
Meade et al. (Fri,) studied this question.