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混合実験計画法×応答曲面法 (RSM)×
分野実験計画法実験計画法
系統Hypothesis testHypothesis test
提唱年19581951
提唱者Henry SchefféGeorge E. P. Box & K. B. Wilson
種類Constrained mixture experimentSecond-order polynomial response surface model
原典Scheffé, H. (1958). Experiments with Mixtures. Journal of the Royal Statistical Society, Series B, 20(2), 344–360. DOI ↗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. link ↗
別名mixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture designRSM, Central Composite Design, Box-Behnken Design, CCD
関連47
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.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.
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ScholarGate手法を比較: Mixture Design · Response Surface Methodology. 2026-06-17に以下より取得 https://scholargate.app/ja/compare