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Research Article Open access CC BY 3.0

D-optimal Exact Design: Weighted Variance Approach and a Continuous Search Technique

Otaru O. Paul, Enegesele Dennis

Physical Science International Journal · pp. 1065–1072 · Published 18 Jun 2014

10.9734/PSIJ/2014/9141

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.  

Weighted variance D-optimum gradient vector and variance function

References (3)

  1. 1 The Sequential Generation of $D$-Optimum Experimental Designs [DOI]
  2. 2 The construction of exact D-optimum experimental designs with application to blocking response surface designs [DOI]
  3. 3 A HILL-CLIMBING COMBINATORIAL ALGORITHM FOR CONSTRUCTING N-POINT D-OPTIMAL EXACT DESIGNS [DOI]

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