Construction of uniform designs for mixture experiments with complex constraints. Issue 8 (17th April 2016)

• Record Type: Journal Article
• Authors: Liu, Yan; Liu, Min-Qian
• Is Part Of: Communications in statistics. Volume 45:Issue 8(2016)
• Page Start: 2172
• Page End: 2180
• Publication Date: 2016-04-17
• Subjects: Central composite discrepancy -- Mixture experiment -- QR decomposition -- Switching algorithm -- Uniform design.; Primary 62K15 -- Secondary 62K99; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2013.875576
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: Mixture experiments have attracted increasingly attention due to their great practical value in production and living, while uniform designs over irregular experimental regions have become a hot topic in the area of experimental designs in the past two decades. Noting that the experimental region of a mixture experiment with q components under some constraints is in fact a ( q − 1)-dimensional geometry, this article proposes a new method for searching nearly uniform designs for mixture experiments with any complex constraints. Two examples with some tables and figures are given to illustrate this method.