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Bayesovský hierarchický model×Bayesovská regresia×Konfirmačná faktorová analýza (CFA)×Latent Growth Curve Model (LGC)×
OdborBayesovské metódyBayesovské metódyŠtatistikaŠtatistika
RodinaBayesian methodsBayesian methodsLatent structureLatent structure
Rok vzniku200619691990
TvorcaGelman & Hill (2006); Bayesian multilevel traditionKarl JöreskogMeredith & Tisak
Typhierarchical probabilistic modelBayesian linear modelConfirmatory latent variable modelLatent variable / longitudinal growth model
Pôvodný zdrojGelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363Meredith, W. & Tisak, J. (1990). Latent Curve Analysis. Psychometrika, 55(1), 107–122. DOI ↗
Ďalšie názvymultilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling modelbayesian linear regression, probabilistic regression, bayesian regresyonDoğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement modellatent growth model, LGC, growth curve model, Gizil Büyüme Eğrisi Modeli
Príbuzné4245
ZhrnutieBayesian 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.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.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.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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ScholarGatePorovnať metódy: Bayesian Hierarchical Model · Bayesian Regression · CFA · LGC Model. Získané 2026-06-19 z https://scholargate.app/sk/compare