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中心複合計画法×Box-Behnken Design×
分野実験計画法実験計画法
系統Process / pipelineProcess / pipeline
提唱年19511960
提唱者George E. P. Box and K. B. WilsonGeorge E. P. Box and Donald W. Behnken
種類Response surface experimental designResponse surface design (incomplete three-level factorial)
原典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. 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 ↗
別名CCD, Box-Wilson design, central composite response surface design, rotatable central composite designBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
関連33
概要Central Composite Design (CCD) is a second-order response surface design that allows researchers to efficiently fit a full quadratic model relating multiple continuous input factors to one or more response variables. Introduced by Box and Wilson in 1951, it combines a factorial (or fractional factorial) core, axial (star) points, and center-point replicates into a single unified design, making it the most widely used design for process optimization in engineering, chemistry, and manufacturing.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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ScholarGate手法を比較: Central Composite Design · Box-Behnken Design. 2026-06-18に以下より取得 https://scholargate.app/ja/compare