D- and G- Optimal Axial Slope Designs for Four Ingredient Mixture

Njoroge Elizabeth Wambui^1, , Koske Joseph² and Mutiso John²

¹Dpartment of Physical Sciences, Chuka University, P.O. Box 109-60400, Chuka, Kenya

²Department of Mathematics, Physics and Computing, Moi University, P.O. Box 3900, Eldoret, Kenya

Cite this paper:
Njoroge Elizabeth Wambui, Koske Joseph and Mutiso John. D- and G- Optimal Axial Slope Designs for Four Ingredient Mixture. Applied Mathematics and Physics. 2020; 8(1):20-25. doi: 10.12691/amp-8-1-4

Abstract

This paper aims at investigating and comparing the D- and G-optimal criteria for non-pure blends slope designs. The study used a parameter subsystem of interest based on the second-degree Kronecker model to obtain the H-invariant information matrices for both Equally Weighted Simplex Centroid Axial Design and Un-equally Weighted Simplex Centroid Axial Design. The D- and G- optimal values worked out revealed that the centroid achieved the best D- and G-optimality values and that the best D-efficient and G-efficient design points were with 105.71% and 99.76% respectively. The latter design was more D-efficient while former design was more G-efficient.

Keywords:
axial design subsystem H-invariant centroid D-optimal G-optimal efficiency

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