A-optimal designs for mixture central polynomial model with qualitative factors

被引：3

作者：

Zhu, Zhibin ^{[1
]}

Li, Guanghui ^{[1
]}

Zhang, Chongqi ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Econ & Stat, Guangzhou 510006, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2019年 / 48卷 / 10期

关键词：

A-optimal design; mixture central polynomial; qualitative factor; 62K05; 62K99;

D O I：

10.1080/03610926.2018.1472783

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：

Mixture central polynomial models with qualitative factors are widely applied in many fields of research. In this paper, a method of finding A-optimal design for two degree mixture central polynomial model with qualitative factors will be proposed. The variance function will be given for getting the support points of the design. The A-optimality is confirmed by the equivalence theorem. In addition, this method also works effectively with higher degree models.

引用

页码：2345 / 2355

页数：11

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