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Exact D-optimal designs for polynomial regression without intercept

✍ Scribed by Fu-Chuen Chang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
86 KB
Volume
44
Category
Article
ISSN
0167-7152

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✦ Synopsis

For the regression model f k (x) = (x; x 2 ; : : : ; x k ) T on [a; 1]; -16a ‘ 1, the exact n-point D-optimal designs are proved to be ones that put mass as equally as possible among the support points of the approximate D-optimal design for f k (x) if n¿k; a = -1 and k = 2; 4, if n¿k; a¿(2 -√ 10)=6 and k = 2, and if n¿2k; -0:08769916a6( √ 5 -1)=2 √ 5 and k = 3. For the other cases, the properties of exact D-optimal designs are discussed on the basis of an intensive numerical study.

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