Construction of 2IIIm-(m-k) designs with the maximum number of clear two-factor interactions

被引：0

作者：

Yang, Gui-Jun ^{[1
]}

机构：

[1] Tianjin Univ Finance & Econ, Dept Stat, Tianjin 300222, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2007年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

resolution; minimum aberration; clear two-factor interaction;

D O I：

10.1007/s10255-006-0354-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is useful to know the maximum number of clear two-factor interactions in a 2(III)(m-(m-k)) design. This paper provides a method to construct a 2(III)(m-(m-k)) design with the maximum number of clear two-factor interactions. And it is proved that the resulting designs have more clear two-factor interactions than those constructed by Tang et al.([6]). Moreover, the designs constructed are shown to have concise grid representations.

引用

页码：107 / 112

页数：6

共 34 条

[1] Construction of 2Ⅲ~(m-(m-k)) Designs with the Maximum Number of Clear Two-factor Interactions
Gui-Jun Yang Department of Statistics
ActaMathematicaeApplicataeSinica, 2007, (01) : 107 - 112
[2] Grid representations for 2IVm-(m-k) join designs containing maximum number of clear two-factor interactions
Yang, Guijun
Butler, Neil A.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (05) : 1472 - 1478
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赵胜利
张润楚
Acta Mathematica Scientia, 2008, (04) : 949 - 954
[4] BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2n-(n-k) DESIGNS
Zhao Shengli
Zhang Runchu
ACTA MATHEMATICA SCIENTIA, 2008, 28 (04) : 949 - 954
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Yang, GJ
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SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (11): : 1479 - 1487
[6] Bounds on the maximum number of clear two-factor interactions for 2m-p designs of resolution III and IV
Tang, BX
Ma, FS
Ingram, D
Wang, H
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2002, 30 (01): : 127 - 136
[7] A note on the lower bounds on maximum number of clear two-factor interactions for 2IVm-p designs
Yang, Gui-Jun
Liu, Min-Qian
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (05) : 849 - 860
[8] Weak minimum aberration and maximum number of clear two-factor interactions in 2IVm-p designs
YANG Guijun
Department of Statistics
Science China Mathematics, 2005, (11) : 1479 - 1487
[9] Sn-m designs containing clear main effects or clear two-factor interactions
Ai, MY
Zhang, RC
STATISTICS & PROBABILITY LETTERS, 2004, 69 (02) : 151 - 160
[10] Robust designs through partially clear two-factor interactions
Lekivetz, Ryan
Tang, Boxin
BIOMETRIKA, 2011, 98 (03) : 733 - 739

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