Consequences of misspecifying across-cluster time-specific residuals in multilevel latent growth curve models

Journal article


Diallo, Thierno and Lu, HuiZhong. (2017) Consequences of misspecifying across-cluster time-specific residuals in multilevel latent growth curve models. Structural Equation Modeling: A Multidisciplinary Journal. 24(3), pp. 359 - 382. https://doi.org/10.1080/10705511.2016.1247647
AuthorsDiallo, Thierno and Lu, HuiZhong
Abstract

This Monte Carlo study evaluates, in the context of multilevel latent growth curve models, the consequences of under- and overspecifying across-cluster time-specific residuals (i.e., Θb) on the estimation of the fixed effects, their corresponding standard errors, the variances and covariances of the random effects, Type I error rates, and the statistical power of detecting fixed effects. The results show that underspecifying Θbwith all elements of Θbfixed at zero results in a large underestimation of the between- and within-level random effect and standard errors of fixed effect estimates, which, in turn, leads to serious bias in significant testing. Underspecifying Θb with diagonal elements of Θb constrained to equality, or overspecifying Θbwith diagonal elements of Θb constrained to equality or freely estimated and residual covariances fixed at zero also leads to bias in the estimation of the between- and within-level random effects. Implications of the compensatory relationship occurring at the covariance level are discussed.

Year2017
JournalStructural Equation Modeling: A Multidisciplinary Journal
Journal citation24 (3), pp. 359 - 382
PublisherPsychology Press
ISSN1070-5511
Digital Object Identifier (DOI)https://doi.org/10.1080/10705511.2016.1247647
Scopus EID2-s2.0-84994893511
Page range359 - 382
Research GroupInstitute for Positive Psychology and Education
Place of publicationUnited States
EditorsG. A. Marcoulides
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https://acuresearchbank.acu.edu.au/item/86w59/consequences-of-misspecifying-across-cluster-time-specific-residuals-in-multilevel-latent-growth-curve-models

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