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| Thiết kế sàng lọc Plackett-Burman× | Thiết kế giai thừa phân đoạn 2^(k-p)× | |
|---|---|---|
| Lĩnh vực | Thiết kế thí nghiệm | Thiết kế thí nghiệm |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1946 | 1961 |
| Người khởi xướng≠ | R.L. Plackett & J.P. Burman | George E. P. Box and J. Stuart Hunter |
| Loại≠ | Two-level orthogonal array | Screening and economical factorial design |
| Công trình gốc≠ | Plackett, R.L. & Burman, J.P. (1946). The Design of Optimum Multifactorial Experiments. Biometrika, 33(4), 305–325. DOI ↗ | Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗ |
| Tên gọi khác≠ | PB design, PB screening, Plackett-Burman Tarama Deseni | 2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial) |
| Liên quan≠ | 4 | 7 |
| Tóm tắt≠ | The Plackett-Burman design is a two-level orthogonal screening design introduced by R.L. Plackett and J.P. Burman in 1946 that allows researchers to estimate the main effect of each factor independently using the smallest possible number of experimental runs. Run counts are always multiples of four, making it exceptionally economical for studies with many candidate factors. | 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. |
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