方法对比

	2^(k-p) 分数析因设计	双向方差分析（Two-Way ANOVA）
领域	实验设计	统计学
方法族	Hypothesis test	Hypothesis test
起源年份	1961	1925
提出者	George E. P. Box and J. Stuart Hunter	Ronald A. Fisher
类型	Screening and economical factorial design	Parametric factorial mean comparison
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.	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478
别名	2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)	factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA
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.	Two-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors.