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Дробный факторный план, построенный с помощью оптимизации×Методология поверхности отклика (RSM)×
ОбластьПланирование экспериментаПланирование эксперимента
СемействоProcess / pipelineHypothesis test
Год появления1960s–1980s (D-optimality: Kiefer & Wolfowitz 1959; coordinate-exchange: Meyer & Nachtsheim 1995)1951
Автор методаA. C. Atkinson, A. N. Donev (optimality criteria); V. V. Federov (exchange algorithms)George E. P. Box & K. B. Wilson
ТипOptimal experimental design / computer-generated DOESecond-order polynomial response surface model
Основополагающий источникAtkinson, A. C., Donev, A. N., & Tobias, R. D. (2007). Optimum Experimental Designs, with SAS. Oxford University Press. ISBN: 978-0199296606Box, 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 ↗
Другие названияoptimal fractional factorial design, algorithmically optimized FFD, computer-aided fractional factorial design, D-optimal fractional factorial designRSM, Central Composite Design, Box-Behnken Design, CCD
Связанные47
СводкаOptimization-assisted fractional factorial design (OA-FFD) combines classical fractional factorial screening with algorithmic optimality criteria — such as D-, I-, or A-optimality — to construct experiment matrices that maximize statistical efficiency. Instead of relying solely on standard orthogonal-array tables, a computer algorithm selects the best subset of runs from a candidate set, enabling experimenters to handle irregular factor constraints, mixed factor types, and custom run sizes that standard tables cannot accommodate.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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ScholarGateСравнение методов: Optimization-assisted fractional factorial design · Response Surface Methodology. Получено 2026-06-18 из https://scholargate.app/ru/compare