手法を比較

	要因実験	応答曲面法 (RSM)
分野	実験計画法	実験計画法
系統	Process / pipeline	Hypothesis test
提唱年	1926–1935	1951
提唱者	Ronald A. Fisher	George E. P. Box & K. B. Wilson
種類	Quantitative experimental design	Second-order polynomial response surface model
原典	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.	Box, G. E. P. & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13(1), 1–45.
別名	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design	RSM, Central Composite Design, Box-Behnken Design, CCD
関連	6	7
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.	Response Surface Methodology is a collection of statistical and mathematical techniques for building an empirical second-order polynomial model that relates a continuous response variable to two or more controllable input factors, and then locating the factor settings that optimize that response. The approach was introduced by George E. P. Box and K. B. Wilson in their landmark 1951 paper and has since become a cornerstone of process optimization across engineering, chemistry, food science, and pharmaceutics.