Optimum Designs for Optimum Mixtures in Multiresponse Experiments

Abstract

Optimal designs for estimating the parameters and also the optimum factor combinations in multiresponse experiments have been considered by various authors. However, till date, in mixture experiments optimum designs have been studied only in the single response case. In this article, attempt has been made to investigate optimum designs for estimating optimum mixing proportions in a multiresponse mixture experiment.

Keywords:

• Invariance
• Linear optimality criteria
• Mixture experiment
• Multiple responses
• Optimal design
• Weighted centroid design

Mathematics Subject Classification (2000)::

• 62K99
• 62J05

Acknowledgments

The authors express their heartfelt thanks to the anonymous referee for his/her valuable suggestions, which greatly improved the presentation of the article.