Locally D-optimal designs for multistage models and heteroscedastic polynomial regression models

被引：3

作者：

Fang, Zhide ^{[1
]}

Wiens, Douglas P.

Wu, Zheyang

机构：

[1] Univ New Orleans, Dept Math, New Orleans, LA 70148 USA

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2M7, Canada

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2006年 / 136卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

bioassay; D-optimality; dose response; optimal design;

D O I：

10.1016/j.jspi.2004.11.015

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 consider the construction of locally D-optimal designs for a nonlinear, multistage model in which one observes a binary response variable with expected value P(x; theta) = H(theta(0) + theta(1)x + - - - + theta(k)x(k)). Here H is any twice differentiable distribution function. Our results apply as well to heteroscedastic polynomial regression models, under mild conditions on the efficiency function. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：4059 / 4070

页数：12

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