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ロバストフラクショナルファクトリアルデザイン×中心複合計画法×応答曲面法 (RSM)×
分野実験計画法実験計画法実験計画法
系統Process / pipelineProcess / pipelineHypothesis test
提唱年1980s (Taguchi's crossed-array approach); fractional factorial roots 1935–194519511951
提唱者Genichi Taguchi (robust parameter design); fractional factorial foundations by Ronald Fisher and Frank YatesGeorge E. P. Box and K. B. WilsonGeorge E. P. Box & K. B. Wilson
種類Experimental design / robust parameter designResponse surface experimental designSecond-order polynomial response surface model
原典Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443Box, 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. DOI ↗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 ↗
別名robust FFD, robust fractional factorial experiment, crossed-array fractional factorial, Taguchi-style fractional factorialCCD, Box-Wilson design, central composite response surface design, rotatable central composite designRSM, Central Composite Design, Box-Behnken Design, CCD
関連237
概要Robust fractional factorial design combines the run-count efficiency of fractional factorial arrays with Taguchi's robust parameter design philosophy. By simultaneously manipulating control factors (inner array) and noise factors (outer array) — each structured as a fractional factorial — the method identifies factor settings that minimize product or process variation due to uncontrollable conditions, without requiring a full factorial experiment.Central Composite Design (CCD) is a second-order response surface design that allows researchers to efficiently fit a full quadratic model relating multiple continuous input factors to one or more response variables. Introduced by Box and Wilson in 1951, it combines a factorial (or fractional factorial) core, axial (star) points, and center-point replicates into a single unified design, making it the most widely used design for process optimization in engineering, chemistry, and manufacturing.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手法を比較: Robust Fractional Factorial Design · Central Composite Design · Response Surface Methodology. 2026-06-19に以下より取得 https://scholargate.app/ja/compare