D-Optimal Designs for Third-Degree Kronecker Model Mixture Experiments with an Application to Artificial Sweetener Experiment

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Date

2014

Authors

Kinyanyui, Josphat
Kungu, Peter
Ronoh, Benard
Korir, Betty
rutto, Mike
Koske, Joseph
Kerich, Gregory

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Volume Title

Publisher

IOSR Journal of Mathematics

Abstract

This study investigates some optimal designs in the third degree Kronecker model mixture experiments for non-maximal subsystem of parameters, where Kiefer’s functions serve as optimality criteria. 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. Once the coefficient matrix is obtained, the information matrices associated with the parameter subsystem of interest are generated for the corresponding factors. We apply the optimality criteria to evaluate the designs.

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Keywords

Mixture experiments, Kronecker product, Optimal designs, Weighted centroid designs, Optimality criteria, Moment and information matrices, Efficiency

Citation

IOSR Journal of Mathematics (IOSR-JM), Volume 10, Issue 6 Ver. II (Nov - Dec. 2014), PP 32-41

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