Indclas: A three-way hierarchical classes model |
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Authors: | Iwin Leenen Iven Van Mechelen Paul De Boeck Seymour Rosenberg |
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Institution: | (1) Katholieke Universiteit Leuven, Belgium;(2) Department of Psychology, Tiensestraat 102, B-3000 Leuven, Belgium;(3) Rutgers University, Belgium |
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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.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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Keywords: | binary data clustering hierarchical classes individual differences set-theoretical relations three-way three-mode data |
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