Optimum designs for parameter estimation in mixture experiments with group synergism

Manisha Pal and Nripes Kumar Mandal

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 9, 2001-2014

Abstract: Mixture models were first introduced in canonical form of different degrees to represent the response function in a mixture experiment, and designs for the same were suggested. Later, several researchers derived optimum designs for the estimation of parameters and subset of parameters of the models. In this article, a study is carried out to find the D- and A-optimum designs for estimating the parameters of the quadratic mixture model, when the components of the mixture can be divided into two groups such that within a group there is synergism among the components, while the components between groups do not exhibit any synergism.

Date: 2021
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DOI: 10.1080/03610926.2019.1657455

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