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D-optimal designs for polynomial regression models through origin

✍ Scribed by Zhide Fang

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 119 KB
Volume: 57
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(02)00085-8

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✦ Synopsis

In this article we consider D-optimal designs for polynomial regression models with low-degree terms being missed, by applying the theory of canonical moments. It turns out that the optimal design places equal weight on each of the zeros of some Jacobi polynomial when the number of unknown parameters in the model is even. The procedure and examples of ÿnding the optimal supports and weights are given when the number of unknown parameters in the model is odd.

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