当前位置:
X-MOL 学术
›
Science China Mathematics
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Optimal foldover plans of three-level designs with minimum wrap-around L 2-discrepancy
Science China Mathematics Pub Date : 2014-12-05 , DOI: 10.1007/s11425-014-4936-6 ZuJun Ou , Hong Qin , Xu Cai
Science China Mathematics Pub Date : 2014-12-05 , DOI: 10.1007/s11425-014-4936-6 ZuJun Ou , Hong Qin , Xu Cai
The objective of this paper is to study the issue of employing the uniformity criterion measured by the wrap-around L2-discrepancy to assess the optimal foldover plans for three-level designs. For three-level fractional factorials as the original designs, the general foldover plan and combined design under a foldover plan are defined, some theoretical properties of the defined foldover plans are obtained, a tight lower bound of the wrap-around L2-discrepancy of combined designs under a general foldover plan is also obtained, which can be used as a benchmark for searching optimal foldover plans. For illustration of the usage of our theoretical results, a catalog of optimal foldover plans for uniform initial designs with s three-level factors is tabulated, where 2 ⩽ s ⩽ 11.
中文翻译:
三层设计的最佳折叠方案,具有最小的环绕L 2偏差
本文的目的是研究采用通过环绕L2差异测量的均匀性标准来评估三层设计的最佳折叠方案的问题。对于三级分数阶乘因子作为原始设计,定义了总体折叠计划和折叠计划下的组合设计,获得了定义的折叠计划的一些理论性质,组合的环绕L2离散性的下界严格还获得了一般折叠计划下的设计,可以用作搜索最佳折叠计划的基准。为了说明我们的理论结果的用法,列出了具有s三层因子的统一初始设计的最佳折叠方案目录,其中2 s s⩽11。
更新日期:2014-12-05
中文翻译:
![](https://scdn.x-mol.com/jcss/images/paperTranslation.png)
三层设计的最佳折叠方案,具有最小的环绕L 2偏差
本文的目的是研究采用通过环绕L2差异测量的均匀性标准来评估三层设计的最佳折叠方案的问题。对于三级分数阶乘因子作为原始设计,定义了总体折叠计划和折叠计划下的组合设计,获得了定义的折叠计划的一些理论性质,组合的环绕L2离散性的下界严格还获得了一般折叠计划下的设计,可以用作搜索最佳折叠计划的基准。为了说明我们的理论结果的用法,列出了具有s三层因子的统一初始设计的最佳折叠方案目录,其中2 s s⩽11。