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혼합 실험 설계×Box-Behnken Design×
분야실험설계실험설계
계열Hypothesis testProcess / pipeline
기원 연도19581960
창시자Henry SchefféGeorge E. P. Box and Donald W. Behnken
유형Constrained mixture experimentResponse surface design (incomplete three-level factorial)
원전Scheffé, H. (1958). Experiments with Mixtures. Journal of the Royal Statistical Society, Series B, 20(2), 344–360. DOI ↗Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI ↗
별칭mixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture designBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
관련43
요약Mixture 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.
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