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R-squared Measures for Multilevel Mixture Models with Random Effects

Bibliographic Data

ID21641644
AuthorsSonya K Sterba (Vanderbilt University and University of British Columbia, corresponding author), Jason D Rights (0000-0003-3784-9772, Vanderbilt University and University of British Columbia)
Year2022
Volume29
Issue4
Pages489-506
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)
DOI10.1080/10705511.2021.1962325
OpenAlexW4293225463
LanguageEN
Citations received1
References cited51

Multilevel regression mixtures involving both discrete latent classes and continuous random effects are an increasingly popular approach for accommodating nested data structures. However, their application has outpaced the development of effect size measures to aid model interpretation. In response, we provide a general framework of R-squared measures for multilevel regression mixtures with random effects as well as either classes only at level-1 (L1MIX), or classes only at level-2 (L2MIX), or classes at both levels (L1L2MIX). This work extends and unites a previous suite of R-squared measures for multilevel mixtures with latent classes but no random effects (Rights & Sterba, 2018) and a suite of R-squared measures for multilevel models with random effects but no latent classes (Rights & Sterba, 2019).The general framework provided here includes total and class-specific measures that each allow the researcher to distinguish among distinct sources of explained variance in the fitted model. We provide software for implementing these measures and provide two illustrative empirical examples

Econometrics · Mean squared error · Meta-analysis · Multilevel model · Random effects model · Regression · Regression analysis · Statistics · Bayesian Methods and Mixture Models · Computer Science · Mathematics · Statistical Methods and Bayesian Inference · Survey Sampling and Estimation Techniques

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

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