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Extensions of Rasch's multiplicative poisson model

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Abstract

Consideration will be given to a model developed by Rasch that assumes scores observed on some types of attainment tests can be regarded as realizations of a Poisson process. The parameter of the Poisson distribution is assumed to be a product of two other parameters, one pertaining to the ability of the subject and a second pertaining to the difficulty of the test. Rasch's model is expanded by assuming a prior distribution, with fixed but unknown parameters, for the subject parameters. The test parameters are considered fixed. Secondly, it will be shown how additional between- and within-subjects factors can be incorporated. Methods for testing the fit and estimating the parameters of the model will be discussed, and illustrated by empirical examples.

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Authors and Affiliations

  1. Department of Education, University of Groningen, Grote Rozenstraat 38, 9712 TJ, Groningen, The Netherlands

    Margo G. H. Jansen & Marijtje A. J. van Duijn

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  1. Margo G. H. Jansen
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  2. Marijtje A. J. van Duijn
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Jansen, M.G.H., van Duijn, M.A.J. Extensions of Rasch's multiplicative poisson model. Psychometrika 57, 405–414 (1992). https://doi.org/10.1007/BF02295428

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  • DOI: https://doi.org/10.1007/BF02295428

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