文献类型：期刊文献

中文题名：Uniformity in Double Designs

英文题名：Uniformity in Double Designs

作者：Yi-ju LEI[1];Hong QIN[2]

第一作者：Yi-ju LEI

机构：[1]Department of Mathematics,Xinxiang University;[2]Faculty of Mathematics and Statistics,Central China Normal University

第一机构：新乡学院数学与信息科学学院

年份：2014

期号：3

起止页码：773-780

中文期刊名：应用数学学报：英文版

收录：CSTPCD;;Scopus;CSCD:【CSCD2013_2014】；PubMed;

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

语种：英文

中文关键词：均匀设计;均匀性;偏差值;因子设计

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 L2-discrepancy is employed as a measure of uniformity.We derive results connecting the centered L2-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 L2-discrepancy value of D(X),which can be used to assess uniformity of D(X).
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 L2-discrepancy is employed as a measure of uniformity. We derive results connecting the centered L2-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 L2-discrepancy value of D（X）, which can be used to assess uniformity of D（X）.