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1 results

  • An Extension of the Rasch Model for Ratings Providing Both Location and Dispersion Parameters

  • David Andrich
  • Journal:
    Psychometrika / Volume 47 / Issue 1 / March 1982
    Published online by Cambridge University Press:
    01 January 2025, pp. 105-113

  • An elaboration of a psychometric model for rated data, which belongs to the class of Rasch models, is shown to provide a model with two parameters, one characterising location and one characterising dispersion. The later parameter, derived from the idea of a unit of scale, is also shown to reflect the shape of rating distributions, ranging from unimodal, through uniform, and then to U-shaped distributions. A brief case is made that when a rating distribution is treated as a random error distribution, then the distribution should be unimodal.