Fitting Cross-Lagged Panel Models with the Residual Structural Equations Approach

Abstract

This study simplifies the seven different cross-lagged panel models (CLPMs) by using the RSEM model for both inter-individual and intra-individual structures. In addition, the study incorporates the newly developed dynamic panel model (DPM), general cross-lagged model (GCLM) and the random intercept auto-regressive moving average (RI-ARMA) model. Then, using a longitudinal study of self-esteem and depression, ten different CLPMs are analyzed using robust maximum likelihood estimation. In addition, the Mplus syntax is provided as a reference for researcher. This study aims to enhance empirical researcher understanding and exploration of different CLPMs by providing simplified explanations and analyses of the ten different CLPMs, thereby promoting the development of empirical constructs and topics in the context of various cross-lagged panel models.