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Bayesianisches Hierarchisches Lineares Modell×Mixed Effects Model×
FachgebietStatistikStatistik
FamilieRegression modelRegression model
Entstehungsjahr20061982
UrheberGelman & Hill (2006); Raudenbush & Bryk (2002) for frequentist HLM; Bayesian treatment consolidated by Gelman et al.Laird & Ware
TypBayesian multilevel linear modelMixed effects regression
Wegweisende QuelleGelman, A., & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗
AliasnamenBayesian HLM, Bayesian multilevel linear model, Bayesian random-effects linear model, Bayes hierarchical regressionLME, LMM, mixed model, random effects model
Verwandt54
ZusammenfassungThe Bayesian Hierarchical Linear Model (Bayesian HLM) estimates linear relationships in nested or clustered data by placing prior distributions on all model parameters and updating them with observed data. It simultaneously models variation within groups and between groups, propagating uncertainty fully through posterior distributions rather than relying on asymptotic approximations.A mixed effects model (or linear mixed model) extends ordinary regression by including both fixed effects — population-level parameters shared by all observations — and random effects that capture subject-, group-, or cluster-level variability. It is the standard tool for repeated-measures, longitudinal, and multilevel data where observations within the same unit are correlated.
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ScholarGateMethoden vergleichen: Bayesian Hierarchical Linear Model · Mixed Effects Model. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare