Random Item Effects Models

  • Jean-Paul Fox
Part of the Statistics for Social and Behavioral Sciences book series (SSBS)


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.


Measurement Invariance Threshold Parameter Item Parameter Item Characteristic Item Discrimination 
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Copyright information

© Springer New York 2010

Authors and Affiliations

  • Jean-Paul Fox
    • 1
  1. 1.Department of Research Methodology, Measurement, and Data Analysis Faculty of Behavioral SciencesUniversity of TwenteEnschedeThe Netherlands

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