Construction of sliced space-filling designs based on balanced sliced orthogonal arrays
Construction of sliced space-filling designs based on balanced sliced orthogonal arrays
复制标题
DOI：
10.5705/ss.2013.239
复制
发表时间：
2014
影响因子：
1.4
通讯作者：
Mingyao Ai;Bochuan Jiang;Kang Li
中科院分区：
文献类型：
--
作者：
Mingyao Ai;Bochuan Jiang;Kang Li
拉丁超立方设计已广泛应用于具有定量因素的计算机实验中。当计算机实验中同时存在定性和定量因素时，有人提出了切片空间填充设计来处理此类实验。在本文中，我们提出了一个通用框架，用于构建具有更灵活设计参数的切片空间填充设计，其中整个设计和每个切片不仅在单变量边际上实现最大分层，而且在二维或多维边际上也实现分层。与其他设计相比，新构建的设计具有更好的空间填充特性或具有更多列。这种构建基于一类新的切片正交阵列，称为平衡切片正交阵列，其中每个切片是平衡的，并且在某些水平折叠后成为正交阵列。我们开发了几种在不同水平折叠投影下构建这种平衡切片正交阵列的方法。还给出了一些示例。
Latin hypercube designs have been widely used in computer experiments with quantitative factors. When there are both qualitative and quantitative fac- tors in computer experiments, sliced space-filling designs have been proposed to deal with such experiments. In this article, we propose a general framework for constructing sliced space-filling designs for more flexible parameters of designs in which the whole design and each slice not only achieve maximum stratification in univariate margins, but also achieve stratification in two- or more-dimensional margins. Compared with other designs, the new constructed designs have better space-filling property or have more columns. The construction is based on a new class of sliced orthogonal arrays, called balanced sliced orthogonal arrays, in which each slice is balanced and becomes an orthogonal array after some level-collapsing. Several approaches to constructing such balanced sliced orthogonal arrays under dierent level-collapsing projections are developed. Some examples are given to