
doi: 10.1007/bf02295181
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.
IR-85754, polytomous responses, partial credit model, multidimensional Rasch model, METIS-135298, Multidimensional item response theory, goodness-of-fit testing, Rasch model, loglinear model, Applications of statistics to psychology
IR-85754, polytomous responses, partial credit model, multidimensional Rasch model, METIS-135298, Multidimensional item response theory, goodness-of-fit testing, Rasch model, loglinear model, Applications of statistics to psychology
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