D-optimal Exact Design: Weighted Variance Approach and a Continuous Search Technique
Otaru O. Paul *
Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
Enegesele Dennis
Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
*Author to whom correspondence should be addressed.
Abstract
In design of experiment, researchers have formulated various methods for obtaining D-optimal design. The aim of this study therefore is to obtain an N-point exact D-optimal design for a feasibleregion defined on a polynomial model. The weighted variance approach and a continuous search technique were used to obtain a D-optimum measure. The illustrative example buttresses the effectiveness of the method. The minimum variance was obtained in the first iteration and needs no further improvement.
Keywords: Weighted variance, D-optimum, gradient vector and variance function