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A Model-Based Shrinkage Target to Avoid Non-convergence in Small Sample SEM

Bibliographic Data

ID21641959
AuthorsJulie De Jonckere (0000-0002-9977-5548, Ghent University, corresponding author), Yves Rosseel (0000-0002-4129-4477, Ghent University)
Year2023
Volume30
Issue6
Pages941-955
Publication date2023-11-02
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2023.2171420
OpenAlexW4323823140
LanguageEN
Citations received1
References cited24

Structural equation modeling is prone to a variety of problems when the sample size is small. One solution that attempts to solve the (non-convergence) problem of small sample SEM is found in shrinkage estimation, where a weighted average between the sample variance-covariance matrix (S) and a highly structured shrinkage target (T) is calculated to construct an adjusted sample variance-covariance matrix (Sa), which is then used as input for the analysis. Different target candidates have already been put forward in the literature, but in this paper, we propose using a model-based target matrix specifically tailored for structural equation models. Two simulation studies demonstrate the benefit of using a model-based target over other candidate targets in terms of convergence rate, bias, and MSE, but also emphasize the importance of constructing an optimal shrinkage intensity

Algorithm · Covariance · Covariance matrix · Mathematical optimization · Mean squared error · Minimum-variance unbiased estimator · Rate of convergence · Sample size determination · Shrinkage · Shrinkage estimator · Statistics · Structural equation modeling · Computer Science · Mathematics · Psychometric Methodologies and Testing · Statistical Methods and Bayesian Inference · Statistical Methods and Inference · Applied Mathematics

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    Open Access•Rens Van De Schoot, Sonja D Winter et al.•Psychological Methods•2017

  • Bayesian structural equation modeling

    Bengt Muthén, Tihomir Asparouhov•Psychological Methods•2012

  • Using Bounded Estimation to Avoid Nonconvergence in Small Sample Structural Equation Modeling

    Julie De Jonckere, Yves Rosseel•Structural Equation Modeling: A…•2022

  • Structural Equation Modeling with Small Samples

    Peter M Bentler, Ke-Hai Yuan•Multivariate Behavioral Research•1999

  • Evaluating Small Sample Approaches for Model Test Statistics in Structural Equation Modeling

    Jonathan Nevitt, Gregory R Hancock•Multivariate Behavioral Research•2004

  • Evaluation of the Bayesian and Maximum Likelihood Approaches in Analyzing Structural Equation Models with Small Sample Sizes

    Sik-Yum Lee, Sik‐yum Lee et al.•Multivariate Behavioral Research•2004

Citations per year0.5
Citation span2024 - 2024 (1)
Highly citedNo

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