Three and Four Component R-, A- and D-optimal Allocations for an Additive Quadratic Mixture Model

Bushra  Husain; Fariha   Aslam

Authors

Bushra Husain Women’s College, Department of Statistics and O.R., Aligarh Muslim University, Aligarh, Uttar Pradesh, India
Fariha Aslam Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

Keywords:

Mixture experiments, optimal designs, R-optimal design, A-optimal design, D-optimal design

Abstract

Optimal mixture experiments are a powerful tool for systematically exploring and optimizing the composition of mixtures. In this paper, we have presented a new additive quadratic mixture model and have obtained R-, A- and D-optimal allocations for three and four component mixtures. The obtained designs have been checked for optimality using the equivalence theorem.

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