Bayesian Optimal Designs for Testing Interaction Effects in a Quadratic Mixture Model with Three Components

By : Manisha Pal, N. K. Mandal

Page No: 76-92

Abstract
Scheffé ([12],1958) introduced models of different degrees to represent the response function in a mixture experiment. He also introduced designs for the estimation of the model parameters. Later, several authors discussed the problem of finding optimum designs, especially for quadratic and cubic models. In this paper, we consider the problem of designing an optimal experiment for the purpose of performing one or more hypothesis tests in a quadratic mixture model with three components. We use the Bayesian decision theoretic approach for the purpose.

Authors :
N. K. Mandal
Former Professor, Department of Statistics, University of Calcutta

Manisha Pal
Department of Statistics, University of Calcutta
 

DOI: DOI-https://doi.org/10.32381/IAPQRT.2021.45.01-02.6