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D-optimally Lack-of-Fit-Test-efficient Designs and Related Simple Designs

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Bischoff, Wolfgang:
D-optimally Lack-of-Fit-Test-efficient Designs and Related Simple Designs.
In: Austrian Journal of Statistics. 37 (2008) 3&4. - S. 245-253.
ISSN 1026-597X

Volltext

Link zum Volltext (externe URL): http://www.stat.tugraz.at/AJS/ausg083+4/08302Bisch...

Kurzfassung/Abstract

In practice it is often more popular to use a uniform than an optimal design for estimating the unknown parameters of a linear regression model. The reason is that the model can be checked by a uniform design but it cannot be checked by an optimal design in many cases. On the other hand, however, for important regression models a uniform design is not very efficient to estimate the unknown parameters. Therefore Bischoff and Miller proposed in a series of papers a compromise. It is suggested there to look for designs that are optimal with respect to a specific criterion in the class of designs that are efficient for lack-of-fit-tests. In this paper we consider the D-criterion and polynomial regression models. For polynomial regression models with degree larger than two D-optimally lack-of-fit-test-efficient designs are difficult to determine. Therefore, in this paper we determine easily to calculate and for estimating the parameters highly efficient designs that are additionally lack-of-fit-test–efficient.

Weitere Angaben

Publikationsform:Artikel
Schlagwörter:Polynomial Regression Model, Parameter Estimation, D-Criterion.
Institutionen der Universität:Mathematisch-Geographische Fakultät > Mathematik > Lehrstuhl für Mathematik - Statistik und Stochastik
Peer-Review-Journal:Ja
Titel an der KU entstanden:Ja
Eingestellt am:22. Jul 2009 16:13
Letzte Änderung:01. Jan 2010 21:25
URL zu dieser Anzeige:http://edoc.ku-eichstaett.de/973/