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Estimating and Testing Random Intercept Multilevel Structural Equation Models with Model Implied Instrumental Variables

Bibliographic Data

ID21641827
AuthorsMichael Giordano (0000-0002-7057-9260, University of North Carolina, corresponding author), K A Bollen (0000-0002-6710-3800, University of North Carolina), Shaobo Jin (0000-0001-6538-3477, Uppsala University)
Year2022
Volume29
Issue4
Pages584-599
Publication date2022-07-04
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2022.2028261
PMID37333803
OpenAlexW4226118648
LanguageEN
References cited34

This study develops a new limited information estimator for random intercept Multilevel Structural Equation Models (MSEM). It is based on the Model Implied Instrumental Variable Two-Stage Least Squares (MIIV-2SLS) estimator, which has been shown to be an excellent alternative or supplement to maximum likelihood (ML) in SEMs (Bollen, 1996 Bollen, K. A. (1996). An alternative two stage least squares (2SLS) estimator for latent variable equations. Psychometrika, 61, 109–121.[Crossref], [Web of Science ®] , [Google Scholar]). We also develop a multilevel overidentification test statistic that applies to equations at the within or between levels. Our Monte Carlo simulation analysis suggests that MIIV-2SLS is more robust than ML to misspecification at within or between levels, performs well given fewer than 100 clusters, and shows that our multilevel overidentification test for equations performs well at both levels of the model

Econometrics · Estimator · Instrumental variable · Latent variable · Monte Carlo method · Multilevel model · Random effects model · Simultaneous equations model · Statistic · Statistical hypothesis testing · Statistics · Structural equation modeling · Test statistic · Mathematics · Psychometric Methodologies and Testing · Spatial and Panel Data Analysis · Statistical Methods and Bayesian Inference · Applied Mathematics

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