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	混合効果モデル	ベイズ混合効果モデル
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1982	1990s–2000s (modern Bayesian MCMC era)
提唱者	Laird & Ware	Gelman, Hill, and the broader Bayesian hierarchical modeling tradition
種類	Mixed effects regression	Bayesian regression model
原典	Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974.	Gelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891
別名	LME, LMM, mixed model, random effects model	Bayesian multilevel model, Bayesian random effects model, Bayesian LME, Bayesian hierarchical mixed model
関連	4	5
概要	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.	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.