手法を比較

	要因実験	フルファクトリアル実験
分野	実験計画法	実験計画法
系統	Process / pipeline	Process / pipeline
提唱年	1926–1935	1926 (Fisher's foundational paper); codified by the 1950s–1960s
提唱者	Ronald A. Fisher	Ronald A. Fisher
種類	Quantitative experimental design	Experimental design
原典	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
別名	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design	full factorial design, complete factorial design, 2^k factorial design, FFD
関連	6	6
概要	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.	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.