Experiments with Mixtures: A Generalization of the Simplex-Lattice Design

Summary A theory is developed for experiments with mixtures of n “major” components with proportions ci (i = 1,2,..., n), where each component is itself a mixture of several other components with proportions xij(i=1,2,…,n;j=1,2,…,ni). The purpose of this theory is the empirical prediction of the response to any mixture of the n “major” components when the response depends only on the proportions ci and xij, but not on the total amount of the mixture.