Residual structures in latent growth curve modeling

Kevin Grimm, Keith F. Widaman

Research output: Contribution to journalArticle

42 Citations (Scopus)

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 - 2010
Externally publishedYes

Fingerprint

Growth Curve
Specifications
Modeling
Analysis of variance (ANOVA)
Specification
Fans
fan
analysis of variance
Growth curve
Multilevel Models
Time Change
Structural Equation Modeling
Repeated Measures
Intercept
Analysis of variance
Alternate
Slope
Invariant
Alternatives

ASJC Scopus subject areas

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

Cite this

Residual structures in latent growth curve modeling. / Grimm, Kevin; Widaman, Keith F.

In: Structural Equation Modeling, Vol. 17, No. 3, 2010, p. 424-442.

Research output: Contribution to journalArticle

Grimm, Kevin ; Widaman, Keith F. / Residual structures in latent growth curve modeling. In: Structural Equation Modeling. 2010 ; Vol. 17, No. 3. pp. 424-442.
@article{1f02ffee903a4e2ba0eecf9c4db87c30,
title = "Residual structures in latent growth curve modeling",
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.",
author = "Kevin Grimm and Widaman, {Keith F.}",
year = "2010",
doi = "10.1080/10705511.2010.489006",
language = "English (US)",
volume = "17",
pages = "424--442",
journal = "Structural Equation Modeling",
issn = "1070-5511",
publisher = "Psychology Press Ltd",
number = "3",

}

TY - JOUR

T1 - Residual structures in latent growth curve modeling

AU - Grimm, Kevin

AU - Widaman, Keith F.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77954446028&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954446028&partnerID=8YFLogxK

U2 - 10.1080/10705511.2010.489006

DO - 10.1080/10705511.2010.489006

M3 - Article

AN - SCOPUS:77954446028

VL - 17

SP - 424

EP - 442

JO - Structural Equation Modeling

JF - Structural Equation Modeling

SN - 1070-5511

IS - 3

ER -