方法对比

	交叉分数析因子实验	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–1970s (fractional factorial from 1940s; crossover integration from 1960s–1970s)	1945 (Finney); broader development 1950s–1970s by Box, Hunter
提出者	Box, Hunter & Hunter (fractional factorial); Senn & Williams (crossover integration)	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work
类型	Within-subject multi-factor experimental design	Quantitative experimental design
开创性文献	Senn, S. (2002). Cross-over Trials in Clinical Research (2nd ed.). Wiley. ISBN: 978-0471496533	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	crossover FF design, within-subject fractional factorial, repeated-measures fractional factorial, crossover FFE	fractional factorial design, FFD, 2^(k-p) design, fractional replication
相关	5	4
摘要	A crossover fractional factorial experiment is a within-subject design in which each participant receives a strategically chosen subset of all possible factor-level combinations in a defined sequence, with washout periods between treatment periods. By combining the run-economy of fractional factorial designs with the within-subject efficiency of crossover designs, it allows estimation of main effects and selected interactions while controlling for between-subject variability using far fewer participants and experimental runs than a full factorial crossover.	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.