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Three-way heirarchical classes: A comparison of the INDCLAS and Tucker3-HICLAS models
Leenen, Iwin Ceulemans, Eva
Leenen, Iwin
Ceulemans, Eva
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2009
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Article
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Psychology,Clinical psychology,Multivariate analysis,Personality
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Leenen, I., Ceulemans, E. (2009). Three-way hierarchical classes: A comparison of the INDCLAS and Tucker3-HICLAS models. Applied Multivariate Research, 13(1), 43-76.
Abstract
Hierarchical classes (HICLAS) models for multi-way multi-mode data constitute a unique family of classification models in that (a) they simultaneously induce a hierarchical classification (of the elements) of each mode and (b) they link the hierarchical classifications together by an association relation that yields a predicted (or reconstructed) value for each cell in the data array. For the case of three-way three-mode binary data, the most prominent HICLAS models include INDCLAS and Tucker3-HICLAS. In this paper, we compare the latter two models, introducing the underlying theory of both in substantive terms and showing how a Tucker3-HICLAS analysis may result in a simpler model than that yielded by INDCLAS, although the former is mathematically more complex than the latter (which it includes as a special case). We illustrate by two applications: a study on anger responses in frustrating situations and a case-study on emotions in interpersonal relations.
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University of Windsor, Dept. of Psychology
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Applied Multivariate Research
v.13 no.1
v.13 no.1
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1918-1108