Uniformity pattern of mixed two- and three-level factorials under average projection mixture discrepancy. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Wang, Kang; Qin, Hong; Ou, Zujun
• Is Part Of: Statistics. Volume 56:Issue 1(2022)
• Page Start: 121
• Page End: 133
• Publication Date: 2022-01-02
• Subjects: Average projection mixture discrepancy -- generalized minimum aberration -- lower bound -- mixture discrepancy -- uniformity pattern; 62K15 -- 62K05 -- 62K99; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2022.2028149
• Languages: English
• ISSNs: 0233-1888

Abstract

Abstract : The issue of the projection uniformity of mixed two- and three-level factorials measured by mixture discrepancy is investigated in this paper. The average projection mixture discrepancy is defined to measure the uniformity for low-dimensions projection designs. Moreover, the relationship between uniformity pattern and generalized minimum aberration is established. Two numerical examples are provided to illustrate the theoretical results.