方法对比

	2^(k-p) 分数析因设计	单因素方差分析
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 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.	Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.
别名	2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)	one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
相关	7	4
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.	One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.