方法对比

	贝叶斯全因子设计	贝叶斯实验设计
领域	实验设计	实验设计
方法族	Process / pipeline	Process / pipeline
起源年份	1990s (Bayesian DOE formalized); factorial design roots in 1920s (Fisher)	1956 (foundational); formalized 1970s–1990s
提出者	Kathryn Chaloner & Isabella Verdinelli (Bayesian experimental design framework); building on Fisher's factorial design principles	Lindley (1956); Chaloner & Verdinelli (1995) landmark review
类型	Bayesian experimental design method	Bayesian optimal experimental design
开创性文献	Chaloner, K., & Verdinelli, I. (1995). Bayesian experimental design: A review. Statistical Science, 10(3), 273–304.	Chaloner, K., & Verdinelli, I. (1995). Bayesian Experimental Design: A Review. Statistical Science, 10(3), 273–304.
别名	Bayesian FFD, Bayesian complete factorial experiment, Bayesian full factorial experiment, Bayesian all-combinations design	Bayesian DOE, Bayesian optimal design, Bayesian experimental design, BDE
相关	3	3
摘要	Bayesian full factorial design combines the complete combinatorial structure of classical full factorial experiments — running every combination of factor levels — with a Bayesian inferential framework that incorporates prior knowledge about factor effects and yields full posterior distributions over main effects, interactions, and model parameters, rather than point estimates and p-values.	Bayesian design of experiments selects experimental runs by maximising a utility function — typically the expected information gain — computed over prior beliefs about model parameters. Unlike classical design, which optimizes algebraic criteria such as D-optimality under fixed assumptions, Bayesian DOE incorporates prior knowledge and uncertainty about the system, yielding designs that are optimal in expectation across all plausible parameter values.