方法对比

	交叉分数析因子实验	交叉随机对照试验
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)	1960s (Grizzle 1965 for statistical foundations); widely used in clinical research since the 1970s
提出者	Box, Hunter & Hunter (fractional factorial); Senn & Williams (crossover integration)	Early formalized by statisticians including Bradford Hill and colleagues in clinical trials; theoretical framework developed by Grizzle (1965) and later Senn (2002)
类型	Within-subject multi-factor experimental design	Experimental within-subject design
开创性文献	Senn, S. (2002). Cross-over Trials in Clinical Research (2nd ed.). Wiley. ISBN: 978-0471496533	Senn, S. (2002). Cross-over Trials in Clinical Research (2nd ed.). Wiley. ISBN: 978-0471496533
别名	crossover FF design, within-subject fractional factorial, repeated-measures fractional factorial, crossover FFE	crossover RCT, crossover trial, within-subject RCT, AB/BA crossover design
相关	5	5
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 crossover randomized controlled trial (crossover RCT) is an experimental design in which each participant receives all study interventions in a randomized sequence, separated by a washout period. Because every participant serves as their own control, within-subject variability is eliminated from the treatment comparison, yielding greater statistical power per participant than a parallel-group RCT of equal size.