Abstract

In this paper we will present a class of latent models for the analysis of two-way contingency tables. The basic model was discussed by Clogg (1981) as a reparametrization of the latent class model for social mobility tables. Independently, this model was proposed by De Leeuw and van der Heijden (1988) and van der Heijden (1987) for the analysis of time budget data. In the present paper we discuss the model in the more general context of contingency tables. In section 2 properties of this model are summarized, and the objective of the model is made clear. In section 3 relations with latent class analysis and correspondence analysis are discussed. In section 4 we extend the model for the analysis of higher-way contingency tables.

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