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Indclas: A Three-Way Hierarchical Classes Model

Published online by Cambridge University Press:  01 January 2025

Iwin Leenen ,
Iven Van Mechelen ,
Paul De Boeck  and
Seymour Rosenberg
Iwin Leenen*
Affiliation:
Katholieke Universiteit Leuven
Iven Van Mechelen
Affiliation:
Katholieke Universiteit Leuven
Paul De Boeck
Affiliation:
Katholieke Universiteit Leuven
Seymour Rosenberg
Affiliation:
Rutgers University
*
Requests for reprints should be sent to Iwin Leenen, Department of Psychology, Tiensestraat 102, B-3000 Leuven, BELGIUM. E-mail: [email protected]
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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.

Keywords

binary dataclusteringhierarchical classesindividual differencesset-theoretical relationsthree-way three-mode data
Type
Original Paper
Information
Psychometrika , Volume 64 , Issue 1 , March 1999 , pp. 9 - 24
Copyright
Copyright © 1999 The Psychometric Society

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Footnotes

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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