数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (2): 477-487.doi: 10.1016/S0252-9602(17)30015-2

• 论文 • 上一篇    下一篇

SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY

邹娜1, 覃红2   

  1. 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
  • 收稿日期:2015-11-13 修回日期:2016-09-06 出版日期:2017-04-25 发布日期:2017-04-25
  • 通讯作者: Hong QIN,E-mail:qinhong@mail.ccnu.edu.cn E-mail:qinhong@mail.ccnu.edu.cn
  • 作者简介:Na ZOU,E-mail:zounamail@126.com
  • 基金资助:

    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).

SOME PROPERTIES OF DOUBLE DESIGNS IN TERMS OF LEE DISCREPANCY

Na ZOU1, Hong QIN2   

  1. 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).

摘要:

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.

关键词: Double, Lee discrepancy, uniformity

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