方法对比

	阶乘对照组实验设计	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	1926–1935	1926–1935
提出者	Ronald A. Fisher	Ronald A. Fisher
类型	Experimental design	Quantitative experimental design
开创性文献	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
别名	factorial controlled experiment, factorial design with control, factorial RCT with control arm, multi-factor controlled experiment	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
相关	6	6
摘要	A factorial control group experimental design crosses two or more independent variables (factors) in a fully factorial structure while including at least one condition that serves as a no-treatment or standard-treatment control. This allows researchers to simultaneously estimate the main effect of each factor, their interactions, and the size of those effects relative to a meaningful baseline, maximising both causal precision and experimental efficiency.	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.