Constrained multilevel latent class models for the analysis of three-way three-mode binary data

Michel Meulders (), Francis Tuerlinckx () and Wolf Vanpaemel ()
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Michel Meulders: HUBrussel, KU Leuven
Francis Tuerlinckx: KU Leuven
Wolf Vanpaemel: KU Leuven

No 2012/38, Working Papers from Hogeschool-Universiteit Brussel, Faculteit Economie en Management

Abstract: Probabilistic feature models (PFMs) can be used to explain binary rater judgements about the associations between two types of elements (e.g., objects and attributes) on the basis of binary latent features. In particular, to explain observed object-attribute associations PFMs assume that respondents classify both objects and attributes with re- spect to a, usually small, number of binary latent features, and that the observed object- attribute association is derived as a specific mapping of these classifications. Standard PFMs assume that the object-attribute association probability is the same according to all respondents, and that all observations are statistically independent. As both assump- tions may be unrealistic, a multilevel latent class extension of PFMs is proposed which allows objects and/or attribute parameters to be different across latent rater classes, and which allows to model dependencies between associations with a common object (attribute) by assuming that the link between features and objects (attributes) is fixed across judgements. Formal relationships with existing multilevel latent class models for binary three-way data are described. As an illustration, the models are used to study rater differences in product perception and to investigate individual differences in the situational determinants of anger-related behavior.

Keywords: multilevel latent class model; latent feature; three-way data (search for similar items in EconPapers)
Pages: 52 page
Date: 2012-10
New Economics Papers: this item is included in nep-ecm
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