Experiments with Mixtures: A Review

Abstract

A review of the literature concerning experiments with mixtures is presented. Beginning with the work of Scheffe in 1958, the review covers approximately twenty papers in near chronological order, the last appearing in October 1971. Although priority in the treatment of designs for mixtures is claimed by Quenouille [27], and while others may argue that the work of Claringbold [6] was the impetus for Scheffé's research, the choice of starting with Scheffé is made because most of the authors of the reviewed papers recognized Scheffé as the person most instrumental in pioneering the work which has appeared over the past fourteen years.

KEY WORDS:

• Mixture Components
• Simplex-Lattice
• Response Contours
• Canonical Polynomial
• Pseudocomponent
• Simplex-Centroid
• Process Variables
• Region of Maximum Interest
• Response Surface
• Convex Polyhedron
• Multiple-Lattice
• Ellipsoidal Region
• Homogeneous Model