New E(S2)-Optimal Supersaturated Designs Constructed From Incomplete Block Designs
New E(S2)-Optimal Supersaturated Designs Constructed From Incomplete Block Designs
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DOI：
10.1198/004017007000000452
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发表时间：
2008-02
期刊：
影响因子：
2.5
通讯作者：
Nam-Ky Nguyen;Ching-Shui Cheng
中科院分区：
文献类型：
--
作者：
Nam-Ky Nguyen;Ching-Shui Cheng
我们提出了一种从不完全块设计构造两级过饱和设计（ssd）的方法。给出了E（s2）的下界，它也涵盖了奇数运行大小的情况。这个边界是由由平衡的不完全块设计构造的ssd实现的。我们研究了当不存在平衡不完全块设计时，可以由规则图形设计构造的ssd。通过计算机搜索，找到5≤n≤50，n≤m≤2n的ssd，这些ssd可以由规则的图形设计构造，其中m为因子数，n为运行大小。许多来自常规图形设计的ssd是最佳的。根据其他最优性标准，列出了最佳E(s2)-最优ssd。对饱和设计的施工也给出了一些注意事项。
We present a method for constructing two-level supersaturated designs (SSDs) from incomplete block designs. A lower bound of E(s2) that also covers the case of odd run sizes is given. This bound is attained by SSDs constructed from balanced incomplete block designs. We study SSDs that can be constructed from regular graph designs when balanced incomplete block designs do not exist. A computer search is conducted to find SSDs with 5 ≤ n ≤ 50 and n ≤ m ≤ 2n that can be constructed from regular graph designs, where m is the number of factors and n is the run size. Many SSDs derived from regular graph designs are optimal. The best E(s2)-optimal SSDs with respect to additional optimality criteria are tabulated. Some notes on the construction of saturated designs also are given.