方法对比

	Box-Behnken Design	响应面方法 (RSM)
领域	实验设计	实验设计
方法族	Process / pipeline	Hypothesis test
起源年份	1960	1951
提出者	George E. P. Box and Donald W. Behnken	George E. P. Box & K. B. Wilson
类型	Response surface design (incomplete three-level factorial)	Second-order polynomial response surface model
开创性文献	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.	Box, G. E. P. & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13(1), 1–45.
别名	BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design	RSM, Central Composite Design, Box-Behnken Design, CCD
相关	3	7
摘要	The Box-Behnken design (BBD) is an efficient response surface methodology design that fits a full second-order polynomial model using three levels of each factor. Introduced by Box and Behnken in 1960, it places experimental points at the midpoints of the edges of a hypercube and at the center, avoiding the corner points where all factors are simultaneously at their extreme levels. This structure makes BBD particularly attractive when extreme-level combinations are physically impossible, costly, or unsafe to test.	Response Surface Methodology is a collection of statistical and mathematical techniques for building an empirical second-order polynomial model that relates a continuous response variable to two or more controllable input factors, and then locating the factor settings that optimize that response. The approach was introduced by George E. P. Box and K. B. Wilson in their landmark 1951 paper and has since become a cornerstone of process optimization across engineering, chemistry, food science, and pharmaceutics.