Uniform fractional factorial designs
Uniform fractional factorial designs
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DOI：
10.1214/12-aos987
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发表时间：
2012-04
影响因子：
4.5
通讯作者：
Yu Tang;Hongquan Xu;D. Lin
中科院分区：
文献类型：
--
作者：
Yu Tang;Hongquan Xu;D. Lin
最小畸变标准经常用于选择具有名义因素的分数阶乘设计。但是，对于具有定量因素的设计，因素的水平置换可能会改变其几何结构和统计特性。在本文中，均匀性用于进一步区分分数阶乘设计，除了最小畸变标准。我们表明，最小畸变设计平均差异很低。提出了一种有效的构建最小像差设计的方法，并获得了27和81次运行的最佳设计。这些设计具有良好的均匀性，可有效研究定量因素。
The minimum aberration criterion has been frequently used in the selection of fractional factorial designs with nominal factors. For designs with quantitative factors, however, level permutation of factors could alter their geometrical structures and statistical properties. In this paper uniformity is used to further distinguish fractional factorial designs, besides the minimum aberration criterion. We show that minimum aberration designs have low discrepancies on average. An efficient method for constructing uniform minimum aberration designs is proposed and optimal designs with 27 and 81 runs are obtained for practical use. These designs have good uniformity and are effective for studying quantitative factors.