Optimal orthogonal block designs for four-mixture components in two blocks based on F-squares for Becker's models and K-model |
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| Authors: | M. L. Aggarwal Poonam Singh Vandana Sarin Bushra Husain |
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| Affiliation: | 1. Department of Mathematical Sciences , The University of Memphis , Memphis , TN , 38152 , USA maggarwl@memphis.edu;3. Department of Statistics , University of Delhi , Delhi , 1100 07 , India;4. Department of Statistics , Kirorimal College, University of Delhi , Delhi , 1100 07 , India;5. Department of Statistics and O.R. , Women's College, Aligarh Muslim University , Aligarh , 202002 , U.P. , India |
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| Abstract: | ![]()
Orthogonal block designs in mixture experiments have been extensively studied by various authors. Aggarwal et al. [M.L. Aggarwal, P. Singh, V. Sarin, and B. Husain, Mixture designs in orthogonal blocks using F-squares, METRON – Int. J. Statist. LXVII(2) (2009), pp. 105–128] considered the case of components assuming the same volume fractions and obtained mixture designs in orthogonal blocks using F-squares. In this paper, we have used the class of designs presented by Aggarwal et al. and have obtained D-, A- and E-optimal orthogonal block designs for four components in two blocks for Becker's mixture models and K-model, respectively. Orthogonality conditions for the considered models are also given. |
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| Keywords: | mixture experiments orthogonal blocking Becker's models K-model F-squares D-optimality A-optimality E-optimality |
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