方法对比

	交叉分数析因子实验	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)	1926–1935
提出者	Box, Hunter & Hunter (fractional factorial); Senn & Williams (crossover integration)	Ronald A. Fisher
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	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
别名	crossover FF design, within-subject fractional factorial, repeated-measures fractional factorial, crossover FFE	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
相关	5	6
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 factorial experiment is an experimental design in which two or more independent variables (factors) are manipulated simultaneously, and every combination of their levels is tested. Introduced by Ronald Fisher in the 1920s–1930s, it is the standard approach whenever a researcher needs to detect not only the main effect of each factor but also whether the effect of one factor depends on the level of another — the interaction effect.