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क्षेत्रप्रयोगात्मक अभिकल्पप्रयोगात्मक अभिकल्प
परिवारHypothesis testProcess / pipeline
उद्भव वर्ष19581960
प्रवर्तकHenry SchefféGeorge E. P. Box and Donald W. Behnken
प्रकारConstrained mixture experimentResponse surface design (incomplete three-level factorial)
मौलिक स्रोतScheffé, H. (1958). Experiments with Mixtures. Journal of the Royal Statistical Society, Series B, 20(2), 344–360. DOI ↗Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI ↗
उपनामmixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture designBBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design
संबंधित43
सारांशMixture experiment design is a class of constrained experimental design in which the factors are the proportions of components in a blend, subject to the constraint that all proportions sum to one. The framework was formalised by Henry Scheffé in 1958 and covers simplex-lattice, simplex-centroid, and D-optimal mixture designs widely used in pharmaceutical formulation, food science, and materials research.The Box-Behnken design (BBD) is an efficient response surface methodology design that fits a full second-order polynomial model using three levels of each factor. Introduced by Box and Behnken in 1960, it places experimental points at the midpoints of the edges of a hypercube and at the center, avoiding the corner points where all factors are simultaneously at their extreme levels. This structure makes BBD particularly attractive when extreme-level combinations are physically impossible, costly, or unsafe to test.
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