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베이지안 구조 방정식 모형 (Bayesian Structural Equation Modeling, BSEM)×베이지안 계층 모델×
분야베이지안베이지안
계열Bayesian methodsBayesian methods
기원 연도20122006
창시자Bengt Muthén & Tihomir AsparouhovGelman & Hill (2006); Bayesian multilevel tradition
유형Bayesian latent variable modelhierarchical probabilistic model
원전Muthén, B. & Asparouhov, T. (2012). Bayesian SEM: A More Flexible Representation of Substantive Theory. Psychological Methods, 17(3), 313–335. link ↗Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗
별칭BSEM, Bayesian latent variable model, approximate zero constraints SEM, Bayesçi Yapısal Eşitlik Modelimultilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model
관련64
요약Bayesian SEM, introduced by Muthén and Asparouhov in 2012, extends classical structural equation modeling by placing prior distributions on factor loadings, path coefficients, and covariances. Instead of returning a single maximum-likelihood estimate, it uses Markov chain Monte Carlo to produce a full posterior distribution for every parameter, enabling principled uncertainty quantification in models with latent variables.Bayesian hierarchical modelling, popularised by Gelman and Hill (2006), is a Bayesian approach to nested data structures — such as students within schools within districts — that estimates separate parameters at each level while allowing those levels to share statistical strength through a mechanism called partial pooling. Where a classical hierarchical linear model treats group means as fixed unknown quantities, the Bayesian version places hyperprior distributions on those group means so that information flows freely across levels, producing more reliable group-level estimates whenever any individual group has few observations.
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