方法对比

	混合实验设计	全因子实验设计
领域	实验设计	实验设计
方法族	Hypothesis test	Hypothesis test
起源年份	1958	1926
提出者	Henry Scheffé	R. A. Fisher
类型	Constrained mixture experiment	Parametric factorial experiment
开创性文献	Scheffé, H. (1958). Experiments with Mixtures. Journal of the Royal Statistical Society, Series B, 20(2), 344–360.	Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130
别名	mixture experiment, simplex-lattice design, simplex-centroid design, Scheffé mixture design	factorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k)
相关	4	5
摘要	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.	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.