R-optimal two-level supersaturated designs. Issue 2 (4th March 2021)

• Record Type: Journal Article
• Authors: Chatterjee, Kashinath; Ou, Zujun; Qin, Hong
• Is Part Of: Statistics. Volume 55:Issue 2(2021)
• Page Start: 458
• Page End: 473
• Publication Date: 2021-03-04
• Subjects: Supersaturated design -- R-optimality criterion -- E(s2)-optimality criterion -- minimax criterion; 62K15 -- 62K05 -- 62K99; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2021.1909029
• Languages: English
• ISSNs: 0233-1888

Abstract

Abstract : At the primary stage of most of scientific investigations, supersaturated designs (SSDs) are extremely cost-effective to scientists and engineers. Booth and Cox [Booth KHV, Cox DR. Some systematic supersaturated designs. Technometrics. 1962;4:489–495] proposed E ( s 2 ) as a criterion for comparing several SSDs. It is to be remarked that E ( s 2 ) fails to compare many of competing SSDs. To overcome this drawback of the measure proposed by Booth and Cox [Booth KHV, Cox DR. Some systematic supersaturated designs. Technometrics. 1962;4:489–495], here we propose R -optimality as a measure for comparing SSDs. Moreover, the proposed measure unifies the existing measures for column balanced SSDs.