关于构建层级数相邻的嵌套正交数组

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Stat Pub Date : 2024-03-25 DOI:10.1002/sta4.666

Shanqi Pang, Yan Zhu

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引用次数: 0

摘要

嵌套正交阵列（NOAs）为设计由两个实验组成的实验装置提供了一种选择，即把昂贵的高精度实验嵌套在一个更大且相对便宜的低精度实验中。构建具有相邻级数的 NOAs 是一个具有挑战性的问题。在本文中，我们提出了几种构建此类无损检测器的方法，并获得了几类此类新的对称无损检测器，其中较大的阵列具有最小运行规模。这些方法还可扩展到构建两层以上的 NOA。此外，通过在这些对称无损检测器中添加一些列，我们可以构造出许多新的非对称无损检测器。本文给出了一些示例。

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On the construction of nested orthogonal arrays with the adjacent numbers of levels

Nested orthogonal arrays (NOAs) provide an option for designing an experimental setup consisting of two experiments, with the expensive higher‐precision experiment nested within a larger and relatively inexpensive lower‐precision experiment. Construction of NOAs with the adjacent numbers of levels is a challenging problem. In this paper, we present several methods for constructing such NOAs and obtain some classes of such new symmetric NOAs in which the larger arrays have minimum run size. These methods are also extended to construction of NOAs with more than two layers. Furthermore, by adding some columns to these symmetric NOAs, we can construct a lot of new asymmetric NOAs. Illustrative examples are given.

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来源期刊

Stat Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： Stat is an innovative electronic journal for the rapid publication of novel and topical research results, publishing compact articles of the highest quality in all areas of statistical endeavour. Its purpose is to provide a means of rapid sharing of important new theoretical, methodological and applied research. Stat is a joint venture between the International Statistical Institute and Wiley-Blackwell. Stat is characterised by: • Speed - a high-quality review process that aims to reach a decision within 20 days of submission. • Concision - a maximum article length of 10 pages of text, not including references. • Supporting materials - inclusion of electronic supporting materials including graphs, video, software, data and images. • Scope - addresses all areas of statistics and interdisciplinary areas. Stat is a scientific journal for the international community of statisticians and researchers and practitioners in allied quantitative disciplines.