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June 1997 Optimal discrimination designs for multifactor experiments
Holger Dette, Ingo Röder
Ann. Statist. 25(3): 1161-1175 (June 1997). DOI: 10.1214/aos/1069362742

Abstract

In this paper efficient designs are determined when Anderson's procedure is applied in order to identify the degree of a multivariate polynomial regression model. It is shown that the optimal designs are very closely related to model robust designs which maximize a weighted p-mean of D-efficiencies. As a consequence we obtain designs with high efficiency for model discrimination and for the statistical analysis in the identified model.

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Holger Dette. Ingo Röder. "Optimal discrimination designs for multifactor experiments." Ann. Statist. 25 (3) 1161 - 1175, June 1997. https://doi.org/10.1214/aos/1069362742

Information

Published: June 1997
First available in Project Euclid: 20 November 2003

zbMATH: 0888.62077
MathSciNet: MR1447745
Digital Object Identifier: 10.1214/aos/1069362742

Subjects:
Primary: 62K05
Secondary: 62G10

Rights: Copyright © 1997 Institute of Mathematical Statistics

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Vol.25 • No. 3 • June 1997
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