手法を比較

	ベイズ固定効果モデル	ベイズ階層モデル（ランダム効果モデル）
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2000–2008	1972–1995
提唱者	Chib (2008); Lancaster (2000)	Lindley & Smith (1972); extended by Gelman, Rubin and colleagues
種類	Bayesian panel regression	Bayesian hierarchical panel model
原典	Lancaster, T. (2000). The incidental parameter problem since 1948. Journal of Econometrics, 95(2), 391–413.	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: 978-1439840955
別名	Bayesian within estimator, Bayesian FE model, Bayesian individual fixed effects, Bayesian least squares dummy variable	Bayesian hierarchical model, Bayesian mixed effects model, Bayesian multilevel model, BREM
関連	5	5
概要	The Bayesian fixed effects model applies Bayesian inference to the classical within-group panel estimator. Unit-specific intercepts capture time-invariant unobserved heterogeneity, while prior distributions on all parameters allow probability statements about coefficients and full uncertainty quantification via the posterior distribution.	The Bayesian random effects model combines panel-data random effects with a Bayesian prior framework, allowing unit-specific effects to be treated as draws from a population distribution whose hyperparameters are estimated from the data. This produces regularised, uncertainty-quantified estimates that borrow strength across units — particularly valuable for short panels, sparse groups, or settings where frequentist variance-component estimation is unstable.