Optimal designs for dual response polynomial regression models

被引：15

作者：

Chang, FC

Huang, MNL

Lin, DKJ

Yang, HC

机构：

[1] Penn State Univ, University Pk, PA 16802 USA

[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung, Taiwan

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2001年 / 93卷 / 1-2期

关键词：

correlated observations; dual response model; equivalence theorem; polynomial regression;

D O I：

10.1016/S0378-3758(00)00162-2

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：

In this paper, the D- and D-s-optimal design problems in linear regression models with a one-dimensional control variable and a k-dimensional response variable are considered. The response variables are correlated with a known covariance matrix. Some of the D- and D-s-optimal designs with polynomial models for k=2 are found explicitly. It is noted that the number of support points for the D- and D-s-optimal designs highly depend on the correlation between the two response variables except on some special cases. (C) 2001 Elsevier Science B.V. All rights reserved. MSG: 62K05.

引用

页码：309 / 322

页数：14

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