Optimal designs for experiments with mixtures: a survey

Abstract

Abstract This is a survey article on known results about analytic solutions and numerical solutions of optimal designs for various regression models for experiments with mixtures. The regression models include polynomial models, models containing homogeneous functions, models containing inverse terms and ratios, log contrast models, models with quantitative variables, and mod els containing the amount of mixture, Optimality criteria considered include D-, A-, E-,φp- and Iλ-Optimalities. Uniform design and uniform optimal design for mixture components, and efficiencies of the {q,2} simplex-controid design are briefly discussed. Keywords: Mixture modelmixture designsimplex designmixture experimentoptimal designoptimal allocationuniform design