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With the increasing availability of cross-national data, more attention has been given to the issue of comparability. But while a lot of emphasis has been directed to the assessment of measurement invariance, there has been substantially less concern on how measurement error can affect the results of measurement invariance testing. In this study, we show how correction for measurement error can be applied to measurement invariance analysis. We illustrate this using the concept of "Perceiveddoi:10.1371/journal.pone.0239421 pmid:33002004 fatcat:qmnnyxdtivbvjkzqbef3f327r4