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| 混合実験計画法× | 中心複合計画法× | |
|---|---|---|
| 分野 | 実験計画法 | 実験計画法 |
| 系統≠ | Hypothesis test | Process / pipeline |
| 提唱年≠ | 1958 | 1951 |
| 提唱者≠ | Henry Scheffé | George E. P. Box and K. B. Wilson |
| 種類≠ | Constrained mixture experiment | Response surface experimental design |
| 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. DOI ↗ |
| 別名≠ | mixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture design | CCD, Box-Wilson design, central composite response surface design, rotatable central composite 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. | 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. |
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