Optimal orthogonal designs in two blocks for Becker's mixture models in three and four components
Orthogonal block designs for Scheffé's quadratic model in three and four components have been considered by John (Technical Report 8, Centre for Statistical Sciences, University of Texas, Austin, TX, pp. 1-17), Czitrom (Comm. Statist. Theory Methods 17 (1988) 105; Comm. Statist. Theory Methods 18 (1989) 4561; Comm. Statist. Simulation Comput. 21 (1992) 493), Draper et al. (Technometrics 35 (1993) 268), Chan and Sandhu (J. Appl. Statist. 26(1) (1999) 19), and Ghosh and Liu (J. Statist. Plann. Inference 78 (1999) 219). In this paper, we have constructed optimal orthogonal designs in two blocks for Becker's models in three and four components. We have also given conditions for orthogonality.
Year of publication: |
2002
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Authors: | Aggarwal, M. L. ; Sarin, V. ; Singh, Poonam |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 59.2002, 4, p. 385-396
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Publisher: |
Elsevier |
Keywords: | Mixture experiments Process variables Orthogonality Becker's models D-optimality A-optimality E-optimality |
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