Title: F-squares based optimal designs for reduced cubic canonical models in four components

Authors: Bushra Husain; Sanghmitra Sharma

Addresses: Department of Statistics and Operations Research, Women's College, Aligarh Muslim University, Aligarh, Uttar Pradesh 202002, India ' Department of Statistics and Operations Research, Women's College, Aligarh Muslim University, Aligarh, Uttar Pradesh 202002, India

Abstract: Aggarwal et al. (2008) presented optimal orthogonal designs in two blocks based on F-squares for Darroch and Waller's quadratic mixture model in four components, while for Becker's and K-model, they presented their results in 2013. In this paper, we have constructed D-, A- and E-optimal designs in two blocks based on F-squares for new models called reduced cubic canonical model Forms I and II in four components when two component proportions are at the same level. Several criteria associated with the information matrix and eigenvalues for the designs are examined to infer characteristics in optimality. Conditions required for orthogonality are given for the reduced cubic canonical model Forms I and II.

Keywords: A-optimality; D-optimality; E-optimality; F-squares; mixture experiments; orthogonality; process variables; reduced cubic canonical model.

DOI: 10.1504/IJEDPO.2017.087581

International Journal of Experimental Design and Process Optimisation, 2017 Vol.5 No.3, pp.206 - 221

Received: 28 Apr 2016
Accepted: 25 Mar 2017
Published online: 21 Oct 2017 *

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