Designs of experiments in a polynomial regression when there is uncertainty about the degree

Authors
Dette, H
Citation
H. Dette, Designs of experiments in a polynomial regression when there is uncertainty about the degree, Z ANG MA ME, 79, 1999, pp. S63-S66
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
79
Year of publication
1999
Supplement
1
Pages
S63 - S66
Database
ISI
SICI code
0044-2267(1999)79:<S63:DOEIAP>2.0.ZU;2-F
Abstract
If an experimenter wants to determine the degree of a polynomial regression on the basis of a sample of observations, Anderson (1962) showed that the following method is optimal. Starting with the highest (specified) degree t he procedure is to test in sequence whether the coefficients are 0. In this paper optimal designs for Anderson's procedure are described explicitly. T he optimal design maximizes the minimum power of a given set of alternative s.