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अनुकूली भिन्नात्मक गुणनखंड प्रयोग×सेंट्रल कंपोजिट डिज़ाइन×प्रतिक्रिया सतह पद्धति (RSM)×
क्षेत्रप्रयोगात्मक अभिकल्पप्रयोगात्मक अभिकल्पप्रयोगात्मक अभिकल्प
परिवारProcess / pipelineProcess / pipelineHypothesis test
उद्भव वर्ष1950s–1960s (classical FFD); adaptive extensions formalized in 1990s–2000s19511951
प्रवर्तकBox, Hunter, and collaborators (adaptive/sequential extension of classical fractional factorial work)George E. P. Box and K. B. WilsonGeorge E. P. Box & K. B. Wilson
प्रकारExperimental design strategyResponse surface experimental designSecond-order polynomial response surface model
मौलिक स्रोतBox, 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. 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 ↗
उपनामadaptive FFE, sequential fractional factorial design, adaptive screening design, adaptive factor screeningCCD, Box-Wilson design, central composite response surface design, rotatable central composite designRSM, Central Composite Design, Box-Behnken Design, CCD
संबंधित237
सारांशAn adaptive fractional factorial experiment combines the resource-efficiency of fractional factorial designs with a sequential, data-driven strategy for selecting which factors and interactions to investigate next. Rather than committing all experimental runs upfront, the researcher analyses results from an initial fraction and uses those findings to guide subsequent rounds of experimentation — augmenting, folding, or redirecting the design until the active factors and optimal settings are identified with sufficient precision.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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