ON OPTIMALITY AND CONSTRUCTION OF CIRCULAR REPEATED-MEASUREMENTS DESIGNS

被引：17

作者：

Bailey, R. A. ^{[1
,2
,6
]}

Cameron, Peter J. ^{[1
,2
,6
]}

Filipiak, Katarzyna ^{[3
]}

Kunert, Joachim ^{[4
]}

Markiewicz, Augustyn ^{[5
]}

机构：

[1] Univ St Andrews, Sch Math & Stat, St Andrews, Fife, Scotland

[2] Univ London, London, England

[3] Poznan Univ Tech, Inst Math, Poznan, Poland

[4] TU Dortmund Univ, Dept Stat, Dortmund, Germany

[5] Poznan Univ Life Sci, Dept Math & Stat Methods, Poznan, Poland

[6] Queen Mary Univ London, Sch Math Sci, London, England

来源：

STATISTICA SINICA | 2017年 / 27卷 / 01期

关键词：

Circular weakly balanced design; repeated-measurements design; uniform design; universal optimality; NEIGHBOR-BALANCED DESIGNS; UNIVERSAL OPTIMALITY; INTERFERENCE MODEL; CROSSOVER DESIGNS; MATRICES;

D O I：

10.5705/ss.202015.0045

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 aim of this paper is to characterize and construct universally optimal designs among the class of circular repeated-measurements designs when the parameters do not permit balance for carry-over effects. It is shown that some circular weakly neighbour balanced designs defined by Filipiak and Markiewicz (2012) are universally optimal repeated-measurements designs. These results extend the work of Magda (1980), Kunert (1984b), and Filipiak and Markiewicz (2012).

引用

页码：1 / 22

页数：22

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