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Loglinear Rasch model tests

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Abstract

Existing statistical tests for the fit of the Rasch model have been criticized, because they are only sensitive to specific violations of its assumptions. Contingency table methods using loglinear models have been used to test various psychometric models. In this paper, the assumptions of the Rasch model are discussed and the Rasch model is reformulated as a quasi-independence model. The model is a quasi-loglinear model for the incomplete subgroup × score × item 1 × item 2 × ... × itemk contingency table. Using ordinary contingency table methods the Rasch model can be tested generally or against less restrictive quasi-loglinear models to investigate specific violations of its assumptions.

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  1. Toegepaste Onderwijskunde, Technische Hogeschool Twente, Postbus 217, 7500 AE, Enschede, The Netherlands

    Hendrikus Kelderman

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The author thanks Gideon J. Mellenbergh, Pieter Vijn, Wim J. van der Linden, Ivo W. Molenaar, and Sebie J. Oosterloo for comments and Carolien Schamhardt and Anita Burchartz for typing the manuscript.

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Kelderman, H. Loglinear Rasch model tests. Psychometrika 49, 223–245 (1984). https://doi.org/10.1007/BF02294174

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  • DOI: https://doi.org/10.1007/BF02294174

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