方法对比

	Plackett-Burman 筛选设计	2^(k-p) 分数析因设计
领域	实验设计	实验设计
方法族	Hypothesis test	Hypothesis test
起源年份	1946	1961
提出者	R.L. Plackett & J.P. Burman	George E. P. Box and J. Stuart Hunter
类型	Two-level orthogonal array	Screening and economical factorial design
开创性文献	Plackett, R.L. & Burman, J.P. (1946). The Design of Optimum Multifactorial Experiments. Biometrika, 33(4), 305–325.	Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351.
别名	PB design, PB screening, Plackett-Burman Tarama Deseni	2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)
相关	4	7
摘要	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.