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Original Articles

D-Optimum Designs for Optimum Mixture in a Quadratic Log Contrast Model

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Pages 253-264 | Received 21 Jul 2010, Accepted 24 Apr 2011, Published online: 07 Oct 2011
 

Abstract

Optimal designs for estimating the optimum mixing proportions in a quadratic mixture model was first investigated by Pal and Mandal (2006). In this article, similar investigation is carried out when mean response in a mixture experiment is described by a quadratic log contrast model. It is found that in a symmetric subspace of the finite dimensional simplex, there exists a D-optimal design that puts weights at the centroid of the sub-space and the vertices of the experimental domain. The optimality is checked by numerical computation using Equivalence Theorem.

Mathematics Subject Classification:

Acknowledgment

The authors thank the referee for his/her fruitful comments, which immensely helped to improve the presentation of the article.

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