Construction of four-level and mixed-level designs with zero Lee discrepancy

Liuping Hu, Zujun Ou and Hongyi Li ()
Additional contact information
Liuping Hu: Jishou University
Zujun Ou: Jishou University
Hongyi Li: Jishou University

Metrika: International Journal for Theoretical and Applied Statistics, 2020, vol. 83, issue 1, No 6, 129-139

Abstract: Abstract The uniformity criterion under Lee discrepancy favors designs with the smallest Lee discrepancy value. Based on quaternary codes, the present paper explores the construction of four-level and mixed two- and four-level fractional factorial designs with zero Lee discrepancy. A general construction method is provided, and our theoretic results show that designs with zero Lee discrepancy can be obtained from two-level full factorial designs. When measuring uniformity by Lee discrepancy, designs with a value of zero apparently are optimal. In particular, an additional lower bound on Lee discrepancy is not required.

Keywords: Gray map; Quaternary codes; Lee discrepancy; Uniformity (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00184-019-00720-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:83:y:2020:i:1:d:10.1007_s00184-019-00720-x

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/184/PS2

DOI: 10.1007/s00184-019-00720-x

Access Statistics for this article

Metrika: International Journal for Theoretical and Applied Statistics is currently edited by U. Kamps and Norbert Henze

More articles in Metrika: International Journal for Theoretical and Applied Statistics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().