Title: Optimal orthogonal designs in two blocks based on F-squares for mixture inverse model in four components

Authors: Bushra Husain; Sanghmitra Sharma

Addresses: Department of Statistics and O.R., Women's College, Aligarh Muslim University-Aligarh, Uttar Pradesh 202002, India ' Department of Statistics and O.R., Women's College, Aligarh Muslim University-Aligarh, Uttar Pradesh 202002, India

Abstract: Orthogonal block designs for Scheffés quadratic model in three and four components have been considered by John (1984), Czitrom (1988, 1989), Draper et al. (1993), Chan and Sandhu (1999), and Ghosh and Liu (1999). Singh (2003) considered optimal orthogonal designs in two blocks for Darroch and Waller's quadratic mixture model in three and four components. Aggarwal et al. (2009) have studied mixture designs in orthogonal blocks using F-squares. A mixtures model with inverse terms was presented by Draper and St. John (1977). In this paper, we have constructed optimal orthogonal designs in two blocks based on F-squares for a mixture inverse model in four components with two component proportions at the same level. Conditions required for orthogonality are also given.

Keywords: mixture experiments; process variables; orthogonality; mixture inverse modelling; F-squares; D-optimality; A-optimality; E-optimality; optimal design; orthogonal block designs.

DOI: 10.1504/IJEDPO.2015.072794

International Journal of Experimental Design and Process Optimisation, 2015 Vol.4 No.3/4, pp.206 - 215

Received: 28 Feb 2015
Accepted: 24 Mar 2015

Published online: 03 Nov 2015 *

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