D-optimum designs in multi-factor models with heteroscedastic errors

被引：19

作者：

Rodríguez, C ^{[1
]}

Ortiz, I ^{[1
]}

机构：

[1] Univ Almeria, Fac Ciencias Expt, Dept Stat & Appl Math, Almeria, Spain

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2005年 / 128卷 / 02期

关键词：

D-optimum designs; efficiency function; information matrices; Kronecker product models; additive models; product designs;

D O I：

10.1016/j.jspi.2003.12.013

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 construction of D-optimum designs for Kronecker product and additive regression models when the errors are heteroscedastic. Sufficient conditions are given so that D-optimum designs for the multi-factor models can be built from D-optimum designs for their sub-models with a single factor. A robustness study is included to investigate how design efficiencies change when the efficiency functions are miss-specified. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：623 / 631

页数：9

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