Constructing optimal four-level designs via Gray map code

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

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 5, No 3, 573-587

Abstract: Abstract Recent research indicates that optimal designs can be constructed based on coding theory. This paper explores the use of Gray map code to construct optimal four-level designs. A general construction of four-level designs is described and some theoretic results are obtained. Many four-level designs constructed by the method often possess nice properties, such as less aberration and lower discrepancy. Moreover, the method is useful to construct those of four-level designs with large size.

Keywords: Gray map; Aberration; Uniformity; Lee discrepancy (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-018-0685-9

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