方法对比

	全因子实验	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	1926 (Fisher's foundational paper); codified by the 1950s–1960s	1926–1935
提出者	Ronald A. Fisher	Ronald A. Fisher
类型	Experimental design	Quantitative experimental design
开创性文献	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	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
别名	full factorial design, complete factorial design, 2^k factorial design, FFD	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
相关	6	6
摘要	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.	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.