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| Thiết kế giai thừa phân đoạn 2^(k-p)× | Phương pháp Bề mặt Đáp ứng (RSM)× | |
|---|---|---|
| Lĩnh vực | Thiết kế thí nghiệm | Thiết kế thí nghiệm |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1961 | 1951 |
| Người khởi xướng≠ | George E. P. Box and J. Stuart Hunter | George E. P. Box & K. B. Wilson |
| Loại≠ | Screening and economical factorial design | Second-order polynomial response surface model |
| Công trình gốc≠ | Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. 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. link ↗ |
| Tên gọi khác≠ | 2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial) | RSM, Central Composite Design, Box-Behnken Design, CCD |
| Liên quan | 7 | 7 |
| Tóm tắt≠ | The fractional factorial design is an economical experimental strategy that investigates k factors by running only a carefully chosen 1/2^p fraction of the full 2^k factorial experiment. Formalized by George E. P. Box and J. Stuart Hunter in their landmark 1961 Technometrics paper, it exploits the sparsity-of-effects principle — that high-order interactions are typically negligible — to screen many factors with far fewer runs than a complete factorial would require. | 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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