方法对比

	交叉析因实验	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	1920s–1960s (synthesis of factorial and crossover traditions)	1926–1935
提出者	R. A. Fisher (factorial principles, 1920s); crossover integration developed in biostatistics through mid-20th century	Ronald A. Fisher
类型	Experimental design	Quantitative experimental design
开创性文献	Jones, B., & Kenward, M. G. (2014). Design and Analysis of Cross-Over Trials (3rd ed.). Chapman and Hall/CRC. ISBN: 978-1439861424	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
别名	within-subject factorial design, repeated-measures factorial experiment, factorial crossover trial, crossover factorial trial	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
相关	5	6
摘要	A crossover factorial experiment combines two powerful design principles: factorial structure, which studies multiple factors and their interactions simultaneously, and crossover structure, in which each participant receives more than one treatment combination across sequential periods. By serving as their own control, participants reduce between-subject variability, improving statistical power while also revealing how different factor levels interact within the same individual.	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.