Residual structures in latent growth curve modeling

Kevin J. Grimm, Keith F. Widaman

Research output: Contribution to journalArticle

46 Scopus citations

Abstract

Several alternatives are available for specifying the residual structure in latent growth curve modeling. Two specifications involve uncorrelated residuals and represent the most commonly used residual structures. The first, building on repeated measures analysis of variance and common specifications in multilevel models, forces residual variances to be invariant across measurement occasions. The second, generally arising from structural equation modeling perspectives, allows residual variances to be freely estimated across occasions. Usually an afterthought, alternate specifications of the residual structure can have sizable effects on variance and covariance estimates for the intercept and slope factors (Ferron, Dailey, & Yi, 2002; Kwok, West, & Green, 2007; Sivo, Fan, & Witta, 2005), the fit of the model, and model convergence. We propose additional residual structures in latent growth modeling arising from ideas regarding growth curve reliability. These structures allow residual variances to change across time, but in constrained ways. We provide three illustrations and highlight the importance of focusing on residual structures in latent growth curve modeling.

Original languageEnglish (US)
Pages (from-to)424-442
Number of pages19
JournalStructural Equation Modeling
Volume17
Issue number3
DOIs
StatePublished - Jul 15 2010
Externally publishedYes

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Modeling and Simulation
  • Sociology and Political Science
  • Economics, Econometrics and Finance(all)

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