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Mixed Effects Model×베이즈 혼합 효과 모형×
분야통계학통계학
계열Regression modelRegression model
기원 연도19821990s–2000s (modern Bayesian MCMC era)
창시자Laird & WareGelman, Hill, and the broader Bayesian hierarchical modeling tradition
유형Mixed effects regressionBayesian regression model
원전Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗Gelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891
별칭LME, LMM, mixed model, random effects modelBayesian multilevel model, Bayesian random effects model, Bayesian LME, Bayesian hierarchical mixed model
관련45
요약A 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.The Bayesian mixed effects model extends the classical mixed effects framework by placing prior distributions on all parameters — fixed effects, random effect variances, and residual variance — and updating them with data to produce full posterior distributions. This provides coherent uncertainty quantification for both population-level and group-level effects simultaneously.
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