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Ordinal items: factor analysis, item response theory and latent class compared

Three ways to test invariance on the same data, and where they disagree.

Put factor analytic, IRT and latent class tests of measurement equivalence on identical ordinal items and compared what each concluded. They do not always agree, and the paper says when the choice of method changes the answer.

Part of Measurement comparability

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  1. 2011Measurement equivalence of ordinal items: a comparison of factor analytic, item response theory, and latent class approachesSociological Methods and ResearchArticle

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