Construction of maineffects plans orthogonal through the block factor based on level permutation
Construction of maineffects plans orthogonal through the block factor based on level permutation
复制标题
基于水平排列的块因子正交主效应计划构建
DOI：
10.1016/j.jkss.2015.02.002
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发表时间：
2015
影响因子：
0.6
通讯作者：
黄性芳
中科院分区：
文献类型：
--
作者：
陈雪平;林金官;黄性芳
在本文中，我们首先证明了通过区组因子正交的主效应计划的正交性（Bagchi，2010）在水平置换下保持不变。然而，因子的水平排列会改变其几何结构和统计性质。因此，均匀性用于进一步区分主效应计划。通过区组因子正交（POTB）。本文提出了一种改进的优化算法，proposed.to搜索均匀或近似均匀的POTB，得到了许多新的具有较低偏差的最优POTB。
In this paper, We first demonstrate that the orthogonal property of main effects plans.orthogonal through the block factor (Bagchi, 2010) remains unchanged under level.permutation. However, level permutation of factors could alter their geometrical structures.and statistical properties. Hence uniformity is used to further distinguish main effects plans.orthogonal through the block factor (POTB). A modified optimization algorithm is proposed.to search uniform or nearly uniform POTBs and many new optimal POTBs with lowerdiscrepancy.are obtained.