Efficiency bounds for product designs in linear models

被引：0
|
作者：
Schwabe, R
Wong, WK
机构：
[1] Univ Mainz, Fachbereich Math, D-55099 Mainz, Germany
[2] Univ Calif Los Angeles, Dept Biostat, Los Angeles, CA 90095 USA
[3] Univ Technol, Darmstadt, Germany
来源：
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1999年 / 51卷 / 04期
关键词：
A-optimal designs; additive models; continous designs; interaction; k-way layout; marginal models;
D O I：
10.1023/A:1004087314831
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We provide lower efficiency bounds for the best product design for an additive multifactor linear model. The A-optimality criterion is used to demonstrate that our bounds are better than the conventional bounds. Applications to other criteria, such as IMSE (integrated mean squared error) criterion are also indicated. In all the cases, the best product design appears to perform better when there are more levels in each factor but decreases when more factors are included. Explicit efficiency formulas for non-additive models are also constructed.
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页码：723 / 730
页数：8
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