A Comparison of Item Response Theory and Confirmatory Factor Analytic Methodologies for Establishing Measurement Equivalence/Invariance

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.