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Discrete discrepancy in factorial designs

Hong Qin () and Kai-Tai Fang ()

Metrika: International Journal for Theoretical and Applied Statistics, 2004, vol. 60, issue 1, 59-72

Abstract: Discrepancy measure can be utilized as a uniformity measure for comparing factorial designs. A so-called discrete discrepancy has been used to evaluate the uniformity of factorials. In this paper we give linkages among uniformity measured by the discrete discrepancy, generalized minimum aberration, minimum moment aberration and uniformity measured by the centered L 2 -discrepancy/the wrap-around L 2 -discrepancy. These close linkages provide a significant justification for the discrete discrepancy used to measure uniformity of factorial designs. Copyright Springer-Verlag 2004

Keywords: Discrete discrepancy; Factorial design; Generalized minimum aberration; Minimum moment aberration; Uniformity; 62K15; 62K10 (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s001840300296

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