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Optimum Designs for Parameter Estimation in Linear Mixture Models with Synergistic Effects |
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| Authors: | Manisha Pal Nripes K Mandal M L Aggarwal |
| Institution: | 1. Department of Statistics , Calcutta University , Calcutta , India manishapal2@gmail.com;3. Department of Statistics , Calcutta University , Calcutta , India;4. Department of Mathematical Sciences , University of Memphis , Memphis , Tennessee , USA |
| Abstract: | In this article, we derive optimum designs for parameter estimation in a mixture experiment when the response function is linear in the mixing components with some synergistic effects. The D- and A-optimality criteria have been used for the purpose. The Equivalence Theorem has been used to check for the optimality of the proposed designs. |
| Keywords: | A-optimality Becker's models D-optimality Equivalence theorem Linear models with synergistic effects Mixture experiment |