方法对比

	阶乘对照组实验设计	全因子实验
领域	实验设计	实验设计
方法族	Process / pipeline	Process / pipeline
起源年份	1926–1935	1926 (Fisher's foundational paper); codified by the 1950s–1960s
提出者	Ronald A. Fisher	Ronald A. Fisher
类型	Experimental design	Experimental design
开创性文献	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.	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	factorial controlled experiment, factorial design with control, factorial RCT with control arm, multi-factor controlled experiment	full factorial design, complete factorial design, 2^k factorial design, FFD
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 full factorial experiment runs every possible combination of all chosen factor levels, making it the gold standard for simultaneously estimating main effects, two-way interactions, and higher-order interactions among multiple independent variables. Introduced through Ronald Fisher's foundational work on factorial designs in the 1920s and systematised by Box, Hunter, and Montgomery, it provides complete information about how factors act individually and in combination on an outcome.