Design selection and classification for Hadamard matrices using generalized minimum aberration criteria
Design selection and classification for Hadamard matrices using generalized minimum aberration criteria
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DOI：
10.1198/004017002317375127
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发表时间：
2002-05-01
期刊：
影响因子：
2.5
通讯作者：
Tang, BX
中科院分区：
文献类型：
--
作者：
Deng, LY;Tang, BX
Deng和Tang（1999）以及Tang和Deng（1999）提出并证明了一般两水平分数因子设计的广义最小像差的两个标准。这些标准是使用一组称为J特征的值来定义的。在这篇文章中，我们研究了在设计选择中标准的实际应用。具体来说，我们考虑了基于Hadamard矩阵的设计分类和排序问题。为了方便计算，提出了J特性的理论结果。将广义像差与效率和估计能力的准则联系起来，进一步研究了设计选择问题。我们的研究表明，广义像差在这些熟悉的标准下表现得相当好。
Deng and Tang (1999) and Tang and Deng (1999) proposed and justified two criteria of generalized minimum aberration for general two-level fractional factorial designs. The criteria are defined using a set of values called J characteristics. In this article, we examine the practical use of the criteria in design selection. Specifically, we consider the problem of classifying and ranking designs that are based on Hadamard matrices. A theoretical result on J characteristics is developed to facilitate the computation. The issue of design selection is further studied by linking generalized aberration with the criteria of efficiency and estimation capacity. Our studies reveal that generalized aberration performs quite well under these familiar criteria.