Advanced search
Publication Cover
Communications in Statistics - Simulation and Computation Volume 52, 2023 - Issue 1
Submit an article Journal homepage
152
Views
4
CrossRef citations to date
0
Altmetric
Articles

New non-isomorphic detection methods for orthogonal designs

Xiao Kea College of Big Data and Internet, Shenzhen Technology University, Shenzhen, People’s Republic of China;b Department of Mathematics, Hong Kong Baptist University, Kowloon Tsai, Hong Kong SAR, People’s Republic of ChinaCorrespondence[email protected]
View further author information
,
Kai-Tai Fangc Division of Science and Technology, BNU-HKBU United International College, Zhuhai, People’s Republic of China;d The Key Lab of Random Complex Structures and Data Analysis, The Chinese Academy of Sciences, Beijing, People’s Republic of ChinaView further author information
,
A.M. Elsawahc Division of Science and Technology, BNU-HKBU United International College, Zhuhai, People’s Republic of China;e Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptView further author information
&
Yuxuan Linc Division of Science and Technology, BNU-HKBU United International College, Zhuhai, People’s Republic of ChinaView further author information
Pages 27-42 | Received 23 Mar 2020, Accepted 27 Oct 2020, Published online: 01 Dec 2020

References

  • Cheng, S. W., and K. Q. Ye. 2004. Geometric isomorphism and minimum aberration for factorial designs with quantitative factors. The Annals of Statistics 32 (5):2168–85.
  • Clark, J. B., and A. M. Dean. 2001. Equivalence of fractional factorial designs. Statistica Sinica 11 (2):537–47.
  • Elsawah, A. M., X. Ke, and K. T. Fang. 2019. New recommended designs for screening either qualitative or quantitative factors. Statistical Papers. Advance online publication. doi:10.1007/s00362-019-01089-9.
  • Evangelaras, H., C. Koukouvinos, and E. Lappas. 2006. An efficient algorithm for the identification of isomorphic orthogonal arrays. Journal of Discrete Mathematical Sciences and Cryptography 9 (1):125–32.
  • Evangelaras, H., C. Koukouvinos, and E. Lappas. 2007. 18-run nonisomorphic three level orthogonal arrays. Metrika 66 (1):31–37.
  • Fang, K. T., X. Ke, and A. M. Elsawah. 2017. Construction of uniform designs via an adjusted threshold accepting algorithm. Journal of Complexity 43:28–37.
  • Fang, K. T., and A. J. Zhang. 2004. Minimum aberration majorization in non-isomorphic saturated designs. Journal of Statistical Planning and Inference 126 (1):337–46.
  • Hall Jr., M. 1961. Hadamard matrix of order 16. Jet Propulsion Laboratory Research: Summary 1:21–26.
  • Hickernell, F. J. 1998a. A generalized discrepancy and quadrature error bound. Mathematics of Computation of the American Mathematical Society 67 (221):299–322.
  • Hickernell, F. J. 1998b. Lattice rules: How well do they measure up? In Random and quasi-random point sets, number 106–16. Berlin: Springer.
  • Lam, C., and V. D. Tonchev. 1996. Classification of affine resolvable 2-(27, 9, 4) designs. Journal of Statistical Planning and Inference 56 (2):187–202.
  • Ma, C. X., K. T. Fang, and D. K. J. Lin. 2001. On the isomorphism of fractional factorial designs. Journal of Complexity 17 (1):86–97.
  • Roman, S. 1992. Coding and information theory. New York: Springer.
  • Schoen, E. D., P. T. Eendebak, and M. V. M. Nguyen. 2009. Complete enumeration of pure-level and mixed-level orthogonal arrays. Journal of Combinatorial Designs 18 (2):123–40.
  • Tang, Y., H. Q. Xu, and D. K. J. Lin. 2012. Uniform fractional factorial designs. The Annals of Statistics 40 (2):891–907.
  • Zhou, Y. D., K. T. Fang, and J. H. Ning. 2013. Mixture discrepancy for quasi-random point sets. Journal of Complexity 29 (3–4):283–301.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.