Skip to main content

ETHNOS_APP

Home • Search • Journals • List 0

Overall Model Fit Does Not Imply Linearity in Longitudinal Structural Equation Models

Examining Linear Change Over Time Using Latent Variable Modeling

Bibliographic Data

ID21641819
AuthorsTenko Raykov (0000-0002-8911-5116, Michigan State University, corresponding author), Christine Distefano (0000-0001-7504-6554, University of South Carolina), Natalja Menold (0000-0003-1106-474X, Technical University Dresden)
Year2024
Volume31
Issue5
Pages882-890
Publication date2024-09-02
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2023.2292959
OpenAlexW4393218605
LanguageEN
References cited18

This article is concerned with the assumption of linear temporal development that is often advanced in structural equation modeling-based longitudinal research. The linearity hypothesis is implemented in particular in the popular intercept-and-slope model as well as in more general models containing it as a component, such as longitudinal structural models with covariates, or models for the study of predictors and correlates of change. In empirical research applications, currently behavioral and social scientists typically evaluate only overall goodness of fit for a considered model. However, this omnibus fit assessment may miss violations of the underlying linearity assumption. To respond to this limitation, the present article discusses a testing procedure for examining the hypothesis of linear growth or decline separately from the widely used overall fit evaluation process. The method is readily utilized with popular latent variable modeling software and is illustrated using a numerical example

Econometrics · Latent growth modeling · Latent variable · Latent variable model · Linearity · Mathematical analysis · Physics · Statistics · Structural equation modeling · Advanced Causal Inference Techniques · Mathematics · Statistical Methods and Bayesian Inference · Statistical Methods in Clinical Trials

  • Longitudinal Structural Equation Modeling

    Jason T Newsom•Longitudinal Structural Equation…•2015

  • The control of the false discovery rate in multiple testing under dependency

    Yoav Benjamini, Daniel Yekutieli•The Annals of Statistics•2001

  • Dynamic but Structural Equation Modeling of Repeated Measures Data

    John J Mcardle•Handbook of Multivariate…•1988

  • Controlling the False Discovery Rate

    Open Access•Yoav Benjamini, Yosef Hochberg•Journal of the Royal Statistical…•1995

  • Testing Structural Equation Models

    J Scott Long, Kenneth A Bollen•Testing Structural Equation Models•2012

  • Structural Equations with Latent Variables

    Open Access•K A Bollen•Structural Equations with Latent…•1989

  • Satisfying a Simplex Structure is Simpler Than it Should Be

    Tenko Raykov•Multivariate Behavioral Research•1998

  • Using covariance structure analysis to detect correlates and predictors of individual change over time

    John B Willett, Aline G Sayer•Psychological Bulletin•1994

  • Principles and Practice of Structural Equation Modeling

    Open Access•Nassim Tabri, Craig M Elliott•Canadian Graduate Journal of…•2012

  • A growth curve approach to the measurement of change

    David Rogosa, David Brandt et al.•Psychological Bulletin•1982

Highly citedNo

Tools

Open DOI
Ethnos_APP • Open Source Project • MIT License • Frontend v2.0.0 • Privacy and Cookies • API Documentation: api.ethnos.app/docs • API Source Code: GitHub • DOI: 10.5281/zenodo.17049435 • Frontend Source Code: GitHub • DOI: 10.5281/zenodo.17050053 • cruz.rio.br • Expectantes Misericordiae