title: Regime-Switching Bivariate Dual Change Score Model.
abstract: Mixture structural equation model with regime switching (MSEM-RS) provides one possible way of representing over-time heterogeneities in dynamic processes by allowing a system to manifest qualitatively or quantitatively distinct change processes conditional on the latent "regime" the system is in at a particular time point. Unlike standard mixture structural equation models such as growth mixture models, MSEM-RS allows individuals to transition between latent classes over time. This class of models, often referred to as regime-switching models in the time series and econometric applications, can be specified as regime-switching mixture structural equation models when the number of repeated measures involved is not large. We illustrate the empirical utility of such models using one special case-a regime-switching bivariate dual change score model in which two growth processes are allowed to manifest regime-dependent coupling relations with one another. The proposed model is illustrated using a set of longitudinal reading and arithmetic performance data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-99 study (ECLS-K; U.S. Department of Education, National Center for Education Statistics, 2010).
authors.affiliation: a The Pennsylvania State University.
authors.forename: Sy-Miin
authors.initials: SM
authors.lastname: Chow
authors.affiliation: b University of California , Davis.
authors.forename: Kevin J
authors.initials: KJ
authors.lastname: Grimm
authors.affiliation: c University of North Carolina at Chapel Hill.
authors.forename: Guillaume
authors.initials: G
authors.lastname: Filteau
authors.affiliation: d University of Amsterdam.
authors.forename: Conor V
authors.initials: CV
authors.lastname: Dolan
authors.affiliation: e University of Southern California.
authors.forename: John J
authors.initials: JJ
authors.lastname: McArdle