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Random Item Effects Models

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Bayesian Item Response Modeling

Part of the book series: Statistics for Social and Behavioral Sciences ((SSBS))

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Abstract

Cluster-speci_c item e_ects parameters are introduced that are assumed to vary over clusters of respondents. The modeling of cluster-speci_c item parameters relaxes the assumptions of measurement invariance. Item characteristic di_erences are simply allowed, and it is not necessary to classify items as being invariant or noninvariant. Tests and estimation methods are discussed for item response models with random item e_ects parameters.

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Fox, JP. (2010). Random Item Effects Models. In: Bayesian Item Response Modeling. Statistics for Social and Behavioral Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0742-4_7

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