Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1145-1152.

• Articles •     Next Articles

Minimum Moment Aberration Majorization in Non-isomorphic Asymmetrical Saturated Designs

  

  1. 1.College of Mathematics, Sichuan University, Sichuan Chengdu 610064|2.Division of Science and Technology, BNU-HKBU United International College, Guangdong Zhuhai 519085
  • Received:2007-07-20 Revised:2008-11-08 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10571127)、北京师范大学香港浸会大学联合国际学院统计与智能计算研究所资助

Abstract:

For distinguishing non-isomorphic orthogonal saturated designs, Fang and Zhang[2]proposed the minimum aberration majorization approach
to distinguish non-isomorphic symmetrical orthogonal saturated designs. However, their method can not distinguish the asymmetrical cases.
In this paper, the authors consider the criterion of minimum moment aberration majorization (MMAM) and extend the results in [2]. On the basis of  this criterion, a new algorithm is given to detect the non-isomorphism of both symmetrical and asymmetrical designs. Examples show the
MMAM approach is useful for distinguishing non-isomorphic saturated designs.

Key words: Asymmetrical, Non-isomorphism, Projection moment vector distribution, Saturated design

CLC Number: 

  • 62K15
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