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Планирование эксперимента для смесей×Полный факторный экспериментальный план×
ОбластьПланирование экспериментаПланирование эксперимента
СемействоHypothesis testHypothesis test
Год появления19581926
Автор методаHenry SchefféR. A. Fisher
ТипConstrained mixture experimentParametric factorial experiment
Основополагающий источникScheffé, H. (1958). Experiments with Mixtures. Journal of the Royal Statistical Society, Series B, 20(2), 344–360. DOI ↗Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130
Другие названияmixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture designfactorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k)
Связанные45
СводкаMixture 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.A full factorial design is a parametric experimental method in which every combination of factor levels is tested simultaneously, enabling the estimation of all main effects and all interaction effects in a single study. Rooted in R. A. Fisher's foundational work on designed experiments (1926) and systematically developed by Box, Hunter, and Hunter (2005) and Montgomery (2017), the 2^k form tests k two-level factors across 2^k experimental runs and is the benchmark against which all other factorial designs are measured.
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ScholarGateСравнение методов: Mixture Design · Full Factorial Design. Получено 2026-06-18 из https://scholargate.app/ru/compare