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A new construction of quantitative screening designs

机译:定量筛选设计的新结构

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This paper provides a new methodology to construct quantitative screening designs. Some examples of 3-level designs are presented to illustrate the method. The theoretical properties of the derived designs are also explored. An advantage of the presented designs is that they exist in cases where the classical screening designs cannot exist. The above method leads to the construction of many new large orthogonal designs with nice properties. Turyn-type sequences of lengths n, n, n, n-1 and orthogonal designs are used to achieve the desirable structure. This approach also leads to the construction of new quadruples of directed sequences of lengths 2n-1, 2n-1, n, n and type (3n - 1, 3n - 1) with zero non-periodic autocorrelation function (zero NPAF).
机译:本文提供了一种构建定量筛选设计的新方法。给出了3级设计的一些示例以说明该方法。还探讨了衍生设计的理论特性。所提出的设计的优点是它们存在于经典筛选设计不存在的情况下。上述方法导致许多具有良好特性的新的大型正交设计的构建。长度为n,n,n,n-1的Turyn型序列和正交设计用于获得所需的结构。这种方法还导致构造新的四倍有向序列,其长度为2n-1、2n-1,n,n和类型(3n-1、3n-1),具有零非周期自相关函数(零NPAF)。

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