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1 results

  • Extensions of Rasch's Multiplicative Poisson Model

  • Margo G. H. Jansen, Marijtje A. J. van Duijn
  • Journal:
    Psychometrika / Volume 57 / Issue 3 / September 1992
    Published online by Cambridge University Press:
    01 January 2025, pp. 405-414

  • 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.