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Modelarea Ecuațiilor Structurale Bayesiană (BSEM)×Model Ierarhic Bayesian×Modelul Curbei de Creștere Latente (LGC)×
DomeniuBayesianBayesianStatistică
FamilieBayesian methodsBayesian methodsLatent structure
Anul apariției201220061990
Autorul originalBengt Muthén & Tihomir AsparouhovGelman & Hill (2006); Bayesian multilevel traditionMeredith & Tisak
TipBayesian latent variable modelhierarchical probabilistic modelLatent variable / longitudinal growth model
Sursa seminalăMuthén, 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 ↗Meredith, W. & Tisak, J. (1990). Latent Curve Analysis. Psychometrika, 55(1), 107–122. DOI ↗
Denumiri alternativeBSEM, Bayesian latent variable model, approximate zero constraints SEM, Bayesçi Yapısal Eşitlik Modelimultilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling modellatent growth model, LGC, growth curve model, Gizil Büyüme Eğrisi Modeli
Înrudite645
RezumatBayesian 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.The latent growth curve model is a structural equation modelling approach introduced by Meredith and Tisak (1990) for analysing change over time. It treats each individual's starting point (intercept) and rate of change (slope) as latent variables, simultaneously estimating the average trajectory across the sample and the extent to which individuals differ in their own trajectories.
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ScholarGateCompară metode: Bayesian SEM · Bayesian Hierarchical Model · LGC Model. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare