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1 results

  • Testing Unidimensionality in Polytomous Rasch Models

  • Karl Bang Christensen, Jakob Bue Bjorner, Svend Kreiner, Jørgen Holm Petersen
  • Journal:
    Psychometrika / Volume 67 / Issue 4 / December 2002
    Published online by Cambridge University Press:
    01 January 2025, pp. 563-574

  • A fundamental assumption of most IRT models is that items measure the same unidimensional latent construct. For the polytomous Rasch model two ways of testing this assumption against specific multidimensional alternatives are discussed. One, a marginal approach assuming a multidimensional parametric latent variable distribution, and, two, a conditional approach with no distributional assumptions about the latent variable. The second approach generalizes the Martin-Löf test for the dichotomous Rasch model in two ways: to polytomous items and to a test against an alternative that may have more than two dimensions. A study on occupational health is used to motivate and illustrate the methods.