Details of Research Outputs

Status已发表Published
TitleThe main effect confounding pattern for saturated orthogonal designs
Creator
Date Issued2019-10-01
Source PublicationMetrika
ISSN0026-1335
Volume82Issue:7Pages:843-861
Abstract

In this paper, we propose a criterion “the main effect confounding pattern (MECP)” for comparing projection designs based on saturated symmetric orthogonal designs. Some studies for L(3 ) , L(3 ) and L(4 ) are given. They show that the new criterion MECP is mostly consistent with the criteria: the generalized word-length pattern and the discrepancies CD and MD. Moreover, the MECP can provide more information about statistical performance in the classification for projection designs than the other criteria. Hence, designs with the best projection MECP may perform better in the view of confounding. The MECP provides a way to find the best main effect arrangement for the experimenter. We also prove that all the geometrically equivalent L(f) designs have the same WD/CD/MD discrepancy values.

KeywordCentered L2-discrepancy Generalized word-length pattern Isomorphism Main effect confounding pattern Mixture discrepancy Orthogonal design
DOI10.1007/s00184-019-00713-w
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000497441600005
Scopus ID2-s2.0-85064152695
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/1168
CollectionFaculty of Science and Technology
Corresponding AuthorLin, Yuxuan
Affiliation
1.Division of Science and Technology, BNU-HKBU United International College, Zhuhai, 519085, China
2.The Key Lab of Random Complex Structures and Data Analysis, The Chinese Academy of Sciences, Beijing, China
First Author AffilicationBeijing Normal-Hong Kong Baptist University
Corresponding Author AffilicationBeijing Normal-Hong Kong Baptist University
Recommended Citation
GB/T 7714
Lin, Yuxuan,Fang, Kaitai. The main effect confounding pattern for saturated orthogonal designs[J]. Metrika, 2019, 82(7): 843-861.
APA Lin, Yuxuan, & Fang, Kaitai. (2019). The main effect confounding pattern for saturated orthogonal designs. Metrika, 82(7), 843-861.
MLA Lin, Yuxuan,et al."The main effect confounding pattern for saturated orthogonal designs". Metrika 82.7(2019): 843-861.
Files in This Item: Download All
File Name/Size DocType Version Access License
Lin-2019-The main ef(322KB)Journal articlePublished draftOpen AccessCC BY-NC-SAView Download
Related Services
Usage statistics
Google Scholar
Similar articles in Google Scholar
[Lin, Yuxuan]'s Articles
[Fang, Kaitai]'s Articles
Baidu academic
Similar articles in Baidu academic
[Lin, Yuxuan]'s Articles
[Fang, Kaitai]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Lin, Yuxuan]'s Articles
[Fang, Kaitai]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: Lin-2019-The main effect confounding pattern f.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.