Title: Optimum design for an incomplete second degree mixture model

Authors: Nripes K. Mandal; Manisha Pal

Addresses: Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata, 700 019, India ' Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata, 700 019, India

Abstract: Mixture experiments form an important part of research in areas like pharmaceutical, biometrics, agriculture, etc. Optimum mixture designs have been derived by many authors for mixture models due to Scheffé (1958) and others. In most of these models, there is no discrimination among the components. However, in practice, the situation may be quite different. In this paper, we have considered a situation where some but not all of the interaction terms are present. Optimum designs have been determined for the estimation of parameters of a second degree model. Finally, optimum designs for prediction have also been considered.

Keywords: mixture design; incomplete model; D- and A-optimality criteria; optimum design.

DOI: 10.1504/IJEDPO.2019.097480

International Journal of Experimental Design and Process Optimisation, 2019 Vol.6 No.1, pp.1 - 12

Received: 26 Jul 2018
Accepted: 16 Oct 2018
Published online: 23 Jan 2019 *

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