Abstract
Two types of restricted latent class models are known: linearly constrained latent class analysis (LCA), especially models assuming equalities of certain latent parameters, and linear logistic LCA. The present paper shows some new fields for their application, namely, one application of the first model type to non‐monotone dichotomous items and three applications of linear logistic LCA: 1. A model for paired comparisons comparable to that by Bradley and Terry, but providing for a heterogeneous sample composed of subsamples with different scaling values for the objects. 2. A model for repeated measurements on one and the same item, whereby changes over time can be represented by class‐specific change parameters. 3. Two variants of a simple scaling model showing that the unconditional as well as the conditional maximum‐likelihood representation of the Rasch model are special cases of LCA.
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