Optimal discrimination designs for multifactor experiments

• 成果类型: Article
• 署名作者: Dette, H; Röder, I
• 署名单位: Ruhr University Bochum; Leipzig University
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1997
• 页码: 1161-1175
• 关键词: ds-optimal designs; POLYNOMIAL REGRESSION

摘要

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.