SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY

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SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY

SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY

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doi:10.1016/S0252-9602(17)30015-2

Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (2): 477-487.doi: 10.1016/S0252-9602(17)30015-2

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Na ZOU¹, Hong QIN²

1. The School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China;
2. aculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

Received:2015-11-13 Revised:2016-09-06 Online:2017-04-25 Published:2017-04-25
Contact: Hong QIN,E-mail:qinhong@mail.ccnu.edu.cn E-mail:qinhong@mail.ccnu.edu.cn
Supported by:
N. Zou's research is supported by NSFC (11271147, 11301546, and 11401596); H. Qin is supported by NSFC (11271147 and 11471136) and the Financially supported by self-determined research funds of CCNU from the colleges basic research and operation of MOE (CCNU16A02012).

Abstract:

Doubling is a simple but powerful method of constructing two-level fractional factorial designs with high resolution. This article studies uniformity in terms of Lee discrepancy of double designs. We give some linkages between the uniformity of double design and the aberration case of the original one under different criteria. Furthermore, some analytic linkages between the generalized wordlength pattern of double design and that of the original one are firstly provided here, which extend the existing findings. The lower bound of Lee discrepancy for double designs is also given.

Key words: Double, Lee discrepancy, uniformity

Na ZOU, Hong QIN. SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY[J].Acta mathematica scientia,Series B, 2017, 37(2): 477-487.

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