手法を比較

	混合実験計画法	Box-Behnken Design
分野	実験計画法	実験計画法
系統	Hypothesis test	Process / pipeline
提唱年	1958	1960
提唱者	Henry Scheffé	George E. P. Box and Donald W. Behnken
種類	Constrained mixture experiment	Response surface design (incomplete three-level factorial)
原典	Scheffé, H. (1958). Experiments with Mixtures. Journal of the Royal Statistical Society, Series B, 20(2), 344–360.	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.
別名	mixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture design	BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
関連	4	3
概要	Mixture experiment design is a class of constrained experimental design in which the factors are the proportions of components in a blend, subject to the constraint that all proportions sum to one. The framework was formalised by Henry Scheffé in 1958 and covers simplex-lattice, simplex-centroid, and D-optimal mixture designs widely used in pharmaceutical formulation, food science, and materials research.	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.