Extensions of Rasch's multiplicative Poisson model

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

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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.

    Original languageEnglish
    Pages (from-to)405-414
    Number of pages10
    JournalPsychometrika
    Volume57
    Issue number3
    DOIs
    Publication statusPublished - Sep-1992

    Keywords

    • CONTINGENCY TABLES
    • EMPIRICAL BAYES METHODS
    • RASCH MODEL
    • PARAMETER

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