Abstract
A loglinear IRT model is proposed that relates polytomously scored item responses to a multidimensional latent space. The analyst may specify a response function for each response, indicating which latent abilities are necessary to arrive at that response. Each item may have a different number of response categories, so that free response items are more easily analyzed. Conditional maximum likelihood estimates are derived and the models may be tested generally or against alternative loglinear IRT models.
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Hank Kelderman is currently affiliated with Vrije Universiteit, Amsterdam.
We thank Linda Vodegel-Matzen of the Division of Developmental Psychology of the University of Amsterdam for making available the data used in the example in this article.
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Kelderman, H., Rijkes, C.P.M. Loglinear multidimensional IRT models for polytomously scored items. Psychometrika 59, 149–176 (1994). https://doi.org/10.1007/BF02295181
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DOI: https://doi.org/10.1007/BF02295181