G-Efficient Designs for Quadratic Mixture Models

Abstract

This article introduces a novel method, named JC 1, for obtaining G-efficient mixture design to fit quadratic models. The advantage of JC 1 method over existing algorithms is that it gives G-efficient designs without need of generating all the extreme vertices, edge centroids and constraint plane centroids of the mixture experimental region. The performance of the new method is illustrated and its comparison is given with popularly used algorithms—Snee (1975) algorithm and Welch (1985) ACED algorithm for second-order (quadratic model) designs and it is observed that JC 1 method performs as well as the existing methods or sometimes better than those with additional advantage of large savings in computational efforts.