方法对比

	簇随机析因实验	分数析因实验
领域	实验设计	实验设计
方法族	Process / pipeline	Process / pipeline
起源年份	1950s (fractional factorial); 1980s-1990s (cluster-randomized extensions)	1945 (Finney); broader development 1950s–1970s by Box, Hunter
提出者	Box, Hunter & Hunter (fractional factorial foundations); Murray & colleagues (group-randomized trial methodology)	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work
类型	Experimental design (compound)	Quantitative experimental design
开创性文献	Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130	Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley-Interscience. ISBN: 978-0471718130
别名	CR-FFE, cluster-randomized fractional factorial design, group-randomized fractional factorial trial, CRFFD	fractional factorial design, FFD, 2^(k-p) design, fractional replication
相关	5	4
摘要	A cluster-randomized fractional factorial experiment combines two design principles: randomization is applied to intact groups (clusters such as schools, clinics, or communities) rather than individuals, and only a carefully chosen fraction of all possible factor-level combinations is tested. This pairing makes it practical to screen or evaluate multiple intervention components simultaneously in settings where individual randomization is infeasible, while keeping the number of required clusters manageable.	A fractional factorial experiment is a resource-efficient experimental design that tests only a carefully chosen fraction of all possible factor-level combinations. By exploiting the principle that high-order interactions are usually negligible, it identifies the main effects and low-order interactions of k factors using far fewer runs than a full factorial design — making it the workhorse of industrial and engineering screening experiments.