1984
DOI: 10.1080/01621459.1984.10477093
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Latent Structure Analysis of a Set of Multidimensional Contingency Tables

Abstract: Statistical methods are introduced for latent structure analysis of a set of two or more multidimensional contingency tables. Three basic classes of models are considered: (a) models that assume complete homogeneity across tables, (b) models that allow partial homogeneity across tables, and (c) models that allow complete heterogeneity. Methods are presented for testing whether these models are congruent with the data in the tables and for assessing the significance of differences among the tables in the estima… Show more

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Cited by 234 publications
(140 citation statements)
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References 27 publications
(22 reference statements)
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“…Standard references include Titterington et al (1985), Bartholomew and Knott (1999), and Wedel and Kamakura (2000). A few researchers in other fields have estimated latent-class models with attitudinal data (Clogg and Goodman, 1984;McCutcheon, 1987;McCutcheon and Nawojcyzk, 1995;De Menezes and Bartholomew, 1996;Yamaguchi, 2000;Eid et al, 2003;Thacher et al, 2003). Applications of latent-class models The approach outlined in this paper assumes that what people do and say are manifestations of underlying stable preferences.…”
mentioning
confidence: 99%
“…Standard references include Titterington et al (1985), Bartholomew and Knott (1999), and Wedel and Kamakura (2000). A few researchers in other fields have estimated latent-class models with attitudinal data (Clogg and Goodman, 1984;McCutcheon, 1987;McCutcheon and Nawojcyzk, 1995;De Menezes and Bartholomew, 1996;Yamaguchi, 2000;Eid et al, 2003;Thacher et al, 2003). Applications of latent-class models The approach outlined in this paper assumes that what people do and say are manifestations of underlying stable preferences.…”
mentioning
confidence: 99%
“…LCA에서는 관측 가능한 여러 변수를 이용하여 능력, 태도, 가치와 같은 직접 관측하기 어려운 변수 를 측정하고 문항들의 응답 패턴을 통해 개체들을 몇 개의 잠재범주(latent class)로 분류하는 통계적 기법이다 (Clogg와 Goodman, 1984;Goodman 1974). 잠재범주를 측정하는 M 개의 문항변수 Y = (Y1, .…”
Section: 공변량을 고려한 잠재범주분석unclassified
“…A second reason for computing the Bayes factor is that it can be used when comparing non-nested models. This makes the Bayes factor particularly suitable for use in constrained mixture models, where alternative models are non-nested [23]. In order to test the genetic association, we computed the Bayes factor from the Markov chain-Monte Carlo simulation of the posterior distribution.…”
Section: Bayesian Testingmentioning
confidence: 99%