Status | 已发表Published |
Title | The main effect confounding pattern for saturated orthogonal designs |
Creator | |
Date Issued | 2019-10-01 |
Source Publication | Metrika
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ISSN | 0026-1335 |
Volume | 82Issue: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. |
Keyword | Centered L2-discrepancy Generalized word-length pattern Isomorphism Main effect confounding pattern Mixture discrepancy Orthogonal design |
DOI | 10.1007/s00184-019-00713-w |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:000497441600005 |
Scopus ID | 2-s2.0-85064152695 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/1168 |
Collection | Faculty of Science and Technology |
Corresponding Author | Lin, 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 Affilication | Beijing Normal-Hong Kong Baptist University |
Corresponding Author Affilication | Beijing 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. |
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Lin-2019-The main ef(322KB) | Journal article | Published draft | Open Access | CC BY-NC-SA | View Download |
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