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Nearly A- and E-Optimal Orthogonally Blocked Designs for Scheffe's Quadratic Mixture Model with Three Components
Author(s):
1. Taha Hasan: Department of Statistics, Quaid-i-Azam University, Islamabad, PAKISTAN
2. Muhammad Farid Khan: Department of Mathematics, Quaid-i-Azam University, Islamabad, PAKISTAN
Abstract:
Prescott et al. (Technometrics 78: 268-276, 1993) proposed D-optimal orthogonally blocked designs in two blocks for Scheffé’s quadratic mixture model with four components. Chan and Sandhu (J.Appl.Statist.26 (1):19-34, 1999) discussed the properties of D-, A- and E-optimal designs for Scheffe’s quadratic mixture model in three components. Prescott (Comm.Stat.Theory Methods, 27(10):2259-2580, 1998) introduced nearly D-optimal orthogonally blocked designs for Scheffé’s quadratic mixture model in three and four components. In this paper, we propose nearly A- and Eoptimal orthogonally blocked designs in two blocks for Scheffé’s quadratic mixture model, in three components. The robustness of nearly optimal orthogonally blocked designs, with respect to D-, A and E-optimality criteria, is checked.
Page(s): 101-106
DOI: DOI not available
Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 48, Issue: 2, Year: 2011
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