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Status已发表Published
TitleLower bounds of various criteria in experimental designs
Creator
Date Issued2008
Source PublicationJournal of Statistical Planning and Inference
ISSN0378-3758
Volume138Issue:1Pages:184-195
Abstract

Criterion is essential for measuring the goodness of an experimental design. In this paper, lower bounds of various criteria in experimental designs will be reviewed according to methodology of their construction. The criteria include most well-known ones which are frequently used as benchmarks for orthogonal array, uniform design, supersaturated design and other types of designs. To derive the lower bounds of these criteria, five different approaches are explored. Some new results are given. Throughout the paper, some relationships among different types of lower bounds are also discussed. © 2007 Elsevier B.V. All rights reserved.

KeywordFractional factorial design Lower bound Supersaturated design Uniform design
DOI10.1016/j.jspi.2007.05.013
URLView source
Indexed BySCIE ; CPCI-S
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000253397200018
Scopus ID2-s2.0-34548831077
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/1761
CollectionFaculty of Science and Technology
Corresponding AuthorFang, Kaitai
Affiliation
1.Department of Mathematics, Hong Kong Baptist University, Hong Kong, Hong Kong
2.Department of Mathematics, Suzhou University, Suzhou, 215006, China
3.BNU-HKBU United International College, Zhuhai, China
First Author AffilicationBeijing Normal-Hong Kong Baptist University
Corresponding Author AffilicationBeijing Normal-Hong Kong Baptist University
Recommended Citation
GB/T 7714
Fang, Kaitai,Tang, Yu,Yin, Jianxing. Lower bounds of various criteria in experimental designs[J]. Journal of Statistical Planning and Inference, 2008, 138(1): 184-195.
APA Fang, Kaitai, Tang, Yu, & Yin, Jianxing. (2008). Lower bounds of various criteria in experimental designs. Journal of Statistical Planning and Inference, 138(1), 184-195.
MLA Fang, Kaitai,et al."Lower bounds of various criteria in experimental designs". Journal of Statistical Planning and Inference 138.1(2008): 184-195.
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