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The CHIC Model: A Global Model for Coupled Binary Data

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Abstract

Often problems result in the collection of coupled data, which consist of different N-way N-mode data blocks that have one or more modes in common. To reveal the structure underlying such data, an integrated modeling strategy, with a single set of parameters for the common mode(s), that is estimated based on the information in all data blocks, may be most appropriate. Such a strategy implies a global model, consisting of different N-way N-mode submodels, and a global loss function that is a (weighted) sum of the partial loss functions associated with the different submodels. In this paper, such a global model for an integrated analysis of a three-way three-mode binary data array and a two-way two-mode binary data matrix that have one mode in common is presented. A simulated annealing algorithm to estimate the model parameters is described and evaluated in a simulation study. An application of the model to real psychological data is discussed.

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Authors and Affiliations

  1. Department of Psychology, Katholieke Universiteit Leuven, Tiensestraat 102, 3000, Leuven, Belgium

    Tom Wilderjans, Eva Ceulemans & Iven Van Mechelen

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  1. Tom Wilderjans
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  2. Eva Ceulemans
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  3. Iven Van Mechelen
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Correspondence to Tom Wilderjans.

Additional information

T. Wilderjans is a Research Assistant of the Fund for Scientific Research—Flanders (Belgium). The research reported in this paper was partially supported by the Research Council of K.U. Leuven (GOA/2005/04). We are grateful to Kristof Vansteelandt for providing us with an interesting data set. We also thank three anonymous reviewers for their useful comments.

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Wilderjans, T., Ceulemans, E. & Van Mechelen, I. The CHIC Model: A Global Model for Coupled Binary Data. Psychometrika 73, 729–751 (2008). https://doi.org/10.1007/s11336-008-9069-9

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  • DOI: https://doi.org/10.1007/s11336-008-9069-9

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