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1 results

  • Indclas: A Three-Way Hierarchical Classes Model

  • Iwin Leenen, Iven Van Mechelen, Paul De Boeck, Seymour Rosenberg
  • Journal:
    Psychometrika / Volume 64 / Issue 1 / March 1999
    Published online by Cambridge University Press:
    01 January 2025, pp. 9-24

  • A three-way three-mode extension of De Boeck and Rosenberg's (1988) two-way two-mode hierarchical classes model is presented for the analysis of individual differences in binary object × attribute arrays. In line with the two-way hierarchical classes model, the three-way extension represents both the association relation among the three modes and the set-theoretical relations among the elements of each model. An algorithm for fitting the model is presented and evaluated in a simulation study. The model is illustrated with data on psychiatric diagnosis. Finally, the relation between the model and extant models for three-way data is discussed.