Loglinear multidimensional IRT models for polytomously scored items

Henk Kelderman, Carl P.M. Rijkes, Carl Rijkes

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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.
Original languageUndefined
Pages (from-to)149-176
Issue number2
Publication statusPublished - 1994


  • Multidimensional item response theory
  • Rasch model
  • multidimensional Rasch model
  • polytomous responses
  • METIS-135298
  • goodness-of-fit testing
  • loglinear model
  • IR-85754
  • partial credit model

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