A -Optimal Designs for Third-Degree Kronecker Model Mixture Experiments

Abstract

The goal of every experimenter is to obtain a design that gives maximum information. Similarly, the performance of a design is measured by the amount of information it contains. This study investigates A -optimal designs in the Third- Degree Kronecker model. Based on the completeness result, the considerations are restricted to weighted centroid designs. First, the coefficient matrix and the associated parameter subsystem of interest using the unit vectors and a characterization of the feasible weighted centroid design for a maximal parameter subsystem is obtained. The parameter subspace of interest in this study is non-maximal parameter subsystem which is subspace of the full parameter space. Optimal designs of mixture experiments are derived by employing the Kronecker model approach and applying the various optimality criteria.