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1 results

  • Conditions for Rasch-Dichotomizability of the Unidimensional Polytomous Rasch Model

  • Edward E. Roskam, Paul G. W. Jansen
  • Journal:
    Psychometrika / Volume 54 / Issue 2 / June 1989
    Published online by Cambridge University Press:
    01 January 2025, pp. 317-332

  • Jansen and Roskam (1986) discussed the compatibility of the unidimensional polytomous Rasch model with dichotomization of the response continuum. They derived a rather strict condition in which dichotomization of multicategory data that fit the unidimensional polytomous Rasch model, results in dichotomous data which fit the dichotomous Research model with effectively the same subject parameter. In this paper a more general dichotomization condition is derived for the polytomous Rasch model, which appears less restrictive, but upholds that the intrinsic logic of the unidimensional polytomous Rasch model defies dichotomization in general. The robustness of dichotomous analysis investigated in a simulation study. It shows a close relation with the two-parameters (Birnbaum) model. Theoretical and methodological implications are discussed.