A note on R-optimal designs for multi-factor models

被引：11
|
作者：
Liu, Xin [1 ]
Yue, Rong-Xian [2 ,3 ]
Chatterjee, Kashinath [4 ]
机构：
[1] Donghua Univ, Coll Sci, Shanghai 201600, Peoples R China
[2] Shanghai Normal Univ, Coll Math & Sci, Shanghai 200234, Peoples R China
[3] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
[4] Visva Bharati Univ, Dept Stat, Santini Ketan, W Bengal, India
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2014年 / 146卷
关键词：
Multi-factor; R-optimal designs; Complete interaction; HETEROSCEDASTIC ERRORS; REGRESSION; DISCRIMINATION;
D O I：
10.1016/j.jspi.2013.10.006
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：
This paper considers the R-optimal design problem for multi-factor regression models. It is shown that the product-type designs are optimal for the Kronecker product type models with complete interactions. For the general intra-class models, the optimal designs can be obtained by a mixture of the optimum designs for the conditional models. There examples are presented for illustration. (C) 2013 Elsevier B.V. All rights reserved.
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页码：139 / 144
页数：6
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