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全因子实验×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 (Fisher's foundational paper); codified by the 1950s–1960s1951
提出者Ronald A. FisherGeorge E. P. Box & K. B. Wilson
类型Experimental designSecond-order polynomial response surface model
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: 978-0471718130Box, 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full factorial design, complete factorial design, 2^k factorial design, FFDRSM, Central Composite Design, Box-Behnken Design, CCD
相关67
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.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: Full Factorial Experiment · Response Surface Methodology. 于 2026-06-18 检索自 https://scholargate.app/zh/compare