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| 최적 실험 설계 (D-최적, I-최적)× | 중심합성계획× | |
|---|---|---|
| 분야 | 실험설계 | 실험설계 |
| 계열≠ | Hypothesis test | Process / pipeline |
| 기원 연도≠ | 1972 | 1951 |
| 창시자≠ | V. V. Fedorov | George E. P. Box and K. B. Wilson |
| 유형≠ | Computer-aided optimal design | Response surface experimental design |
| 원전≠ | Fedorov, V.V. (1972). Theory of Optimal Experiments. Academic Press. link ↗ | 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 ↗ |
| 별칭 | D-Optimal Design, I-Optimal Design, Computer-Generated Design, Optimal Deneme Deseni (D-Optimal, I-Optimal) | CCD, Box-Wilson design, central composite response surface design, rotatable central composite design |
| 관련≠ | 5 | 3 |
| 요약≠ | Optimal experimental design is a computer-aided approach to constructing experiments that maximises statistical efficiency for a given model and run budget. Formalised by V. V. Fedorov in 1972, it selects experimental points from a candidate set so that the information matrix M = X'X is optimised according to a chosen criterion — most commonly D-optimality (maximising the determinant) or I-optimality (minimising average prediction variance). It is the preferred strategy whenever classical designs such as central composite or Box-Behnken cannot be applied because the experimental region is constrained or factor ranges are irregular. | 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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