方法对比

	最优实验设计（D最优、I最优）	Box-Behnken Design
领域	实验设计	实验设计
方法族	Hypothesis test	Process / pipeline
起源年份	1972	1960
提出者	V. V. Fedorov	George E. P. Box and Donald W. Behnken
类型	Computer-aided optimal design	Response surface design (incomplete three-level factorial)
开创性文献	Fedorov, V.V. (1972). Theory of Optimal Experiments. Academic Press.	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.
别名	D-Optimal Design, I-Optimal Design, Computer-Generated Design, Optimal Deneme Deseni (D-Optimal, I-Optimal)	BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
相关	5	3
摘要	Optimal experimental design is a computer-aided approach to constructing experiments that maximises statistical efficiency for a given model and run budget. Formalised by V. V. Fedorov in 1972, it selects experimental points from a candidate set so that the information matrix M = X'X is optimised according to a chosen criterion — most commonly D-optimality (maximising the determinant) or I-optimality (minimising average prediction variance). It is the preferred strategy whenever classical designs such as central composite or Box-Behnken cannot be applied because the experimental region is constrained or factor ranges are irregular.	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.