Samurai Sudoku-Based Space-Filling Designs for Data Pooling
Samurai Sudoku-Based Space-Filling Designs for Data Pooling
复制标题
基于武士数独的数据池空间填充设计
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Qing Liu
中科院分区：
文献类型：
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作者：
Xu Xu;Peter Z. G. Qian;Qing Liu
汇集来自多个来源的数据在当今世界中发挥着越来越重要的作用。通过使用流行的数独游戏，我们提出了一种新的设计类型，称为武士数独为基础的空间填充设计来解决这个问题。这样的设计是基于正交数组的拉丁超立方体设计，具有以下吸引人的性质：（i）完整设计在单变量和双变量裕度上都实现了均匀性;（ii）它可以被分成具有重叠的子设计组，使得每个子设计在单变量和双变量裕度上都实现了均匀性;以及（iii）每个重叠在单变量和双变量裕度上都实现了均匀性。给出的例子来说明所提出的设计的属性，并证明使用所提出的设计从多个来源汇集数据的优点。[2013年8月收到。2015年7月修订）。
Pooling data from multiple sources plays an increasingly vital role in today’s world. By using a popular Sudoku game, we propose a new type of design, called a Samurai Sudoku-based space-filling design to address this issue. Such a design is an orthogonal array-based Latin hypercube design with the following attractive properties: (i) the complete design achieves uniformity in both univariate and bivariate margins; (ii) it can be divided into groups of subdesigns with overlaps such that each subdesign achieves uniformity in both univariate and bivariate margins; and (iii) each of the overlaps achieves uniformity in both univariate and bivariate margins. Examples are given to illustrate the properties of the proposed design, and to demonstrate the advantages of using the proposed design for pooling data from multiple sources. [Received August 2013. Revised July 2015.]