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| 최적 실험 설계 (D-최적, I-최적)× | Box-Behnken Design× | |
|---|---|---|
| 분야 | 실험설계 | 실험설계 |
| 계열≠ | Hypothesis test | Process / pipeline |
| 기원 연도≠ | 1972 | 1960 |
| 창시자≠ | V. V. Fedorov | George E. P. Box and Donald W. Behnken |
| 유형≠ | Computer-aided optimal design | Response surface design (incomplete three-level factorial) |
| 원전≠ | Fedorov, V.V. (1972). Theory of Optimal Experiments. Academic Press. link ↗ | 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 ↗ |
| 별칭 | D-Optimal Design, I-Optimal Design, Computer-Generated Design, Optimal Deneme Deseni (D-Optimal, I-Optimal) | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial 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. | 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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