方法对比

	2^(k-p) 分数析因设计	裂区实验设计
领域	实验设计	实验设计
方法族	Hypothesis test	Hypothesis test
起源年份	1961	1935
提出者	George E. P. Box and J. Stuart Hunter	Frank Yates
类型	Screening and economical factorial design	Parametric mixed-model ANOVA
开创性文献	Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351.	Yates, F. (1935). Complex Experiments. Supplement to the Journal of the Royal Statistical Society, 2(2), 181–247.
别名	2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)	split-plot ANOVA, whole-plot sub-plot design, Bölünmüş Parsel Deseni (Split-Plot)
相关	7	6
摘要	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.	The split-plot design is a parametric experimental design that applies one factor to large whole plots and a second factor to subdivisions (sub-plots) within each whole plot. It was introduced by Frank Yates in 1935 to handle agricultural experiments where one factor — such as irrigation or tillage method — is difficult or impractical to change frequently, while a second factor can be varied more easily within the same plot.