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D-optimal designs for weighted polynomial regression

✍ Scribed by Zhide Fang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
214 KB
Volume
63
Category
Article
ISSN
0167-7152

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✦ Synopsis

By utilizing the equivalence theorem and Descartes's rule of signs, we construct D-optimal designs for a weighted polynomial regression model of degree k, with speciΓΏc weight function w(x) = 1=(a 2 -x 2 ) , on the compact interval [ -1; 1]. The main result shows that in most cases, the number of support points of the D-optimal design is k + 1, while in other cases, the D-optimal design has k + 2 support points.

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