Optimality and efficiency of circular neighbor balanced designs for correlated observations

被引：29

作者：

Filipiak, K ^{[1
]}

Markiewicz, A ^{[1
]}

机构：

[1] Agri Univ Poznan, Dept Math & Stat Methods, PL-60637 Poznan, Poland

来源：

METRIKA | 2005年 / 61卷 / 01期

关键词：

optimal experimental designs; interference model; circular neighbor balanced designs at distances 1 and 2; circular autoregressive process;

D O I：

10.1007/s001840400321

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：

The purpose of this paper is to apply the Kunert and Martin's (2000b) method for finding optimal designs into the case of dependence. Using this method we study optimality of circular neighbor balanced designs at distances 1 and 2 under the one-dimensional interference model with errors correlated according to a circular autoregressive process. We determine the efficiency of binary designs for specified values of correlation coefficient, for which these designs are not optimal.

引用

页码：17 / 27

页数：11

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