Fitting Unstructured Finite Mixture Models in Longitudinal Design: A Recommendation for Model Selection and Estimation of the Number of Classes. Issue 5 (2nd September 2016)

• Record Type: Journal Article
• Authors: Todo, Naoya; Usami, Satoshi
• Is Part Of: Structural equation modeling. Volume 23:Issue 5(2016)
• Page Start: 695
• Page End: 712
• Publication Date: 2016-09-02
• Subjects: Calinski–Harabasz statistic -- clustering -- finite mixture models -- latent growth curve mixtures -- longitudinal data -- model selection; Multivariate analysis -- Periodicals; Social sciences -- Statistical methods -- Periodicals; 519.535
• DOI: 10.1080/10705511.2016.1205444
• Languages: English
• ISSNs: 1070-5511

Abstract

Abstract : In longitudinal design, investigating interindividual differences of intraindividual changes enables researchers to better understand the potential variety of development and growth. Although latent growth curve mixture models have been widely used, unstructured finite mixture models (uFMMs) are also useful as a preliminary tool and are expected to be more robust in identifying classes under the influence of possible model misspecifications, which are very common in actual practice. In this study, large-scale simulations were performed in which various normal uFMMs and nonnormal uFMMs were fit to evaluate their utility and the performance of each model selection procedure for estimating the number of classes in longitudinal designs. Results show that normal uFMMs assuming invariance of variance–covariance structures among classes perform better on average. Among model selection procedures, the Calinski–Harabasz statistic, which has a nonparametric nature, performed better on average than information criteria, including the Bayesian information criterion.