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Dynamic Latent Class Structural Equation Modeling: A Hands-On Tutorial for Modeling Intensive Longitudinal Data

Published 18 Aug 2025 in stat.ME | (2508.12983v1)

Abstract: In this tutorial, we provide a hands-on guideline on how to implement complex Dynamic Latent Class Structural Equation Models (DLCSEM) in the Bayesian software JAGS. We provide building blocks starting with simple Confirmatory Factor and Time Series analysis, and then extend these blocks to Multilevel Models and Dynamic Structural Equation Models (DSEM). Leading through the tutorial is an example from clinical psychology using data on a generalized anxiety treatment that includes scales on anxiety symptoms and the Working Alliance Inventory that measures alliance between therapists and patients. Within each block, we provide an overview, specific hypotheses, we want to test, the resulting model and its implementation as well as an interpretation of the results. The aim of this tutorial is to provide a step-by-step guide for applied researchers that enables them use this flexible DLCSEM framework for their own analyses.

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