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混合分数阶析因设计×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1970s–1990s (formalized as a distinct design class)1951
提出者Developed across the DOE community; foundational contributions by Box, Hunter & Hunter and Wu & HamadaGeorge E. P. Box & K. B. Wilson
类型Experimental designSecond-order polynomial response surface model
开创性文献Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478Box, 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HFFD, hybrid FFD, combined fractional factorial design, mixed fractional factorial designRSM, Central Composite Design, Box-Behnken Design, CCD
相关37
摘要A hybrid fractional factorial design (HFFD) merges two or more fractional factorial sub-designs — often involving factors at different numbers of levels or with different aliasing structures — into a single coordinated experiment. The goal is to achieve estimation capabilities (main effects, targeted two-factor interactions) that no single standard fractional design can provide within the same run count, making it especially valuable in engineering development and industrial process optimization.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: Hybrid Fractional Factorial Design · Response Surface Methodology. 于 2026-06-20 检索自 https://scholargate.app/zh/compare