文献类型：期刊文献

英文题名：Uniformity in Double Designs

作者：Lei, Yi-ju[1];Qin, Hong[2]

第一作者：雷轶菊

通讯作者：Qin, H[1]

机构：[1]Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China;[2]Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China

第一机构：新乡学院数学与信息科学学院

通讯机构：[1]corresponding author), Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.

年份：2014

卷号：30

期号：3

起止页码：773-780

外文期刊名：ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

收录：;Scopus(收录号：2-s2.0-84911493987);WOS:【SCI-EXPANDED(收录号:WOS:000341462800020)】；

基金：Supported by the National Natural Science Foundation of China (11271147) and SRFDP (20090144110002).

语种：英文

外文关键词：double design; generalized wordlength pattern; uniform design; uniformity pattern

摘要：In constructing two-level fractional factorial designs, the so-called doubling method has been employed. In this paper, we study the problem of uniformity in double designs. The centered L-2-discrepancy is employed as a measure of uniformity. We derive results connecting the centered L-2-discrepancy value of D(X) and generalized wordlength pattern of X, which show the uniformity relationship between D(X) and X. In addition, we also obtain lower bounds of centered L-2-discrepancy value of D(X), which can be used to assess uniformity of D(X).