مقایسهٔ روشها
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| طراحی آزمایش آمیخته× | طراحی باکس-بنهن× | |
|---|---|---|
| حوزه | طراحی آزمایش | طراحی آزمایش |
| خانواده≠ | Hypothesis test | Process / pipeline |
| سال پیدایش≠ | 1958 | 1960 |
| پدیدآور≠ | Henry Scheffé | George E. P. Box and Donald W. Behnken |
| نوع≠ | Constrained mixture experiment | Response surface design (incomplete three-level factorial) |
| منبع بنیادین≠ | Scheffé, 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 ↗ |
| نامهای دیگر≠ | mixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture design | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design |
| مرتبط≠ | 4 | 3 |
| خلاصه≠ | Mixture 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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