Status | 已发表Published |
Title | Detecting non-isomorphic orthogonal design |
Creator | |
Date Issued | 2022-12-01 |
Source Publication | Journal of Statistical Planning and Inference
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ISSN | 0378-3758 |
Volume | 221Pages:299-312 |
Abstract | We propose a new criterion "Entropy based on projection Hamming distance pattern", denoted as S(D), to evaluate and detect combinatorially non-isomorphic orthogonal designs. It is defined by the entropy based on the distribution of all Hamming distance patterns of projections, that provides a new perspective to evaluate orthogonal designs. Hamming distance pattern is incorporated in this new criterion since it has many connections with other criteria in the literature, such as the generalized word-length pattern and uniformity measures. To compare the detection performances, we adopt three orthogonal designs with different sizes, 18-run, 27-run and 32-run. Some non-isomorphic classes of 27-run and 32-run orthogonal designs are misclassified by S(D). Hence we adopt the projection Average Squared Correlation distribution as an amendment in the detection algorithm to improve the effectiveness. |
Keyword | Entropy Hamming distance pattern Isomorphism Orthogonal design Projection average squared correlation distribution |
DOI | 10.1016/j.jspi.2022.05.003 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:000876941400004 |
Scopus ID | 2-s2.0-85131757058 |
Citation statistics | |
Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/9793 |
Collection | Faculty of Science and Technology |
Corresponding Author | Fang, Kaitai |
Affiliation | 1.Division of Science and Technology,BNU-HKBU United International College,Zhuhai,Jintong Road 2000,519000,China 2.Department of Biostatistics,University of North Carolina at Chapel Hill,United States 3.Department of Biostatistics,Bioinformatics and Biomathematics,Georgetown University,United States 4.The Key Lab of Random Complex Structures and Data Analysis,The Chinese Academy of Sciences,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,Tang, Yihan,Zhang, Jiahuaet al. Detecting non-isomorphic orthogonal design[J]. Journal of Statistical Planning and Inference, 2022, 221: 299-312. |
APA | Lin, Yuxuan, Tang, Yihan, Zhang, Jiahua, & Fang, Kaitai. (2022). Detecting non-isomorphic orthogonal design. Journal of Statistical Planning and Inference, 221, 299-312. |
MLA | Lin, Yuxuan,et al."Detecting non-isomorphic orthogonal design". Journal of Statistical Planning and Inference 221(2022): 299-312. |
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