On the E-optimality of complete designs under an interference model

被引：12

作者：

Filipiak, Katarzyna ^{[1
]}

Rozanski, Rafal ^{[2
]}

Sawikowska, Aneta ^{[3
]}

Wojtera-Tyrakowska, Dominika ^{[3
]}

机构：

[1] Acad Agr Poznan, Dept Math & Stat Methods, PL-60637 Poznan, Poland

[2] State Vocat Sch Higher Educ, Inst Management, PL-66400 Gorzow Wielkopolski, Poland

[3] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

STATISTICS & PROBABILITY LETTERS | 2008年 / 78卷 / 15期

关键词：

D O I：

10.1016/j.spl.2008.02.038

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 the experiments in which the response to a treatment can be affected by other treatments, the interference model with neighbor effects is usually applied. It is known, that circular neighbor balanced designs (CNBDs) are universally optimal under this model. However, such designs cannot exist for each combination of design parameters. If in the class of block designs with a given number of blocks there exists CNBD, then such a design cannot exist in the class with one block less or more. The aim of this paper is to identify the E-optimal complete block designs under the interference model with neighbor effects over such classes of designs. The results are based on algebraic properties of the information matrix. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2470 / 2477

页数：8

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