Abstract
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.
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The research reported in this paper was partially supported by NATO (Grant CRG.921321 to Iven Van Mechelen and Seymour Rosenberg).
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Leenen, I., Van Mechelen, I., De Boeck, P. et al. Indclas: A three-way hierarchical classes model. Psychometrika 64, 9–24 (1999). https://doi.org/10.1007/BF02294316
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DOI: https://doi.org/10.1007/BF02294316