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析因实验×响应面方法 (RSM)×
领域实验设计实验设计
方法族Process / pipelineHypothesis test
起源年份1926–19351951
提出者Ronald A. FisherGeorge E. P. Box & K. B. Wilson
类型Quantitative experimental designSecond-order polynomial response surface model
开创性文献Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd. link ↗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. link ↗
别名factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor designRSM, Central Composite Design, Box-Behnken Design, CCD
相关67
摘要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.
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ScholarGate方法对比: Factorial Experiment · Response Surface Methodology. 于 2026-06-18 检索自 https://scholargate.app/zh/compare