Mixed Markov Latent Class Models

Frank van de Pol · Rolf Langeheine

177 citations0/0 files storedSociological Methodology

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Psychometric Methodologies and Testing Statistical Methods and Bayesian Inference Bayesian Methods and Mixture Models

Abstract

The process of change in a discrete characteristic is seldom the same for every respondent in a panel survey. Mixed Markov latent class models describe cross-tables of consecutive measurements in terms of several Markov chains. Each of these chains may be a stayer chain or some kind of mover chain. Markov chains may or may not be latent; i.e., they may or may not be unreliably measured. In this paper, we extend the mixed Markov latent class model to several subpopulations. We give formulas for estimation under equality restrictions when some parameters are fixed, and we give estimation priorities for several types of restrictions. Equality restrictions on parameters across subpopulations can be tested by means of a likelihood ratio test. To illustrate, we reanalyze a data set from Wiggins (1973).

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References

1984A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data 1974Exploratory Latent Structure Analysis Using Both Identifiable and Unidentifiable Models 2014Latent Structure Analysis 1984Latent Structure Analysis of a Set of Multidimensional Contingency Tables 1979Analyzing Panel Data 1987The Detection and Correction of Specification Errors in Structural Equation Models 1988Latent Structure Models with Direct Effects between Indicators

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