手法を比較

	ベイズ順序ロジスティック回帰	ベイズ一般化線形モデル
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1999	1989 (GLM); 1995 (Bayesian BDA)
提唱者	Johnson & Albert (1999); Bayesian proportional odds framework	McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
種類	Bayesian generalized linear model	Bayesian regression model
原典	Johnson, V. E., & Albert, J. H. (1999). Ordinal Data Modeling. Springer. ISBN: 978-0387987484	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 proportional odds model, Bayesian cumulative logit model, Bayesian ordered logit, Bayesian cumulative link model	Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
関連	6	6
概要	Bayesian ordinal logistic regression extends the classical proportional odds model by placing prior distributions on the regression coefficients and threshold parameters and updating them with observed data via Bayes' theorem. The result is a full posterior distribution over all parameters, enabling uncertainty quantification without relying on large-sample approximations.	A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome.