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مدل سلسله مراتبی بیزی×تحلیل عاملی تأییدی (CFA)×
حوزهبیزیآمار
خانوادهBayesian methodsLatent structure
سال پیدایش20061969
پدیدآورGelman & Hill (2006); Bayesian multilevel traditionKarl Jöreskog
نوعhierarchical probabilistic modelConfirmatory latent variable model
منبع بنیادینGelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363
نام‌های دیگرmultilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling modelDoğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model
مرتبط44
خلاصهBayesian 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.Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships.
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ScholarGateمقایسهٔ روش‌ها: Bayesian Hierarchical Model · CFA. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare