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Optimum Designs for a Multiresponse Regression Model

✍ Scribed by Lorens Imhof

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
164 KB
Volume
72
Category
Article
ISSN
0047-259X

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✦ Synopsis

Exact n-point designs are given which are D-optimum for a simple multiresponse model, where the individual response variables can be represented by first-order and second-order models. The present results complement recent findings by Krafft and Schaefer, who obtained D-optimum n-point designs for several values of n. Furthermore, a conjecture on G-optimum n-point designs is given and the conjecture is proved for the simplest non-trivial case, that is, for n=4.

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## Abstract We consider the construction of designs for exponential regression. The response function is an only approximately known function of a specified exponential function. As well, we allow for variance heterogeneity. We find minimax designs and corresponding optimal regression weights in th