Chapter 12

Longitudinal transition models for categorical response data

Abstract

In this chapter, a number of multidimensional transition models are described, which link categorical outcome data to time, a prior state, and other theoretically relevant covariates. I first review the classical methods designed to model multidimensional transitions between just two time points. Next, I delineate some simple Markov chain models in the analysis of multidimensional transitions across more than two time points, using the fixed-effects perspective. Based on a discussion on the strengths and limitations of the fixed-effects techniques, the mixed-effects multinomial logit transition model is introduced. The delineation includes model specifications, statistical ...

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