A0632
Title: Results on large strong orthogonal arrays of strength three
Authors: Chenlu Shi - New Jersey Institute of Technology (United States) [presenting]
Ye Tian - Beijing University of Posts and Telecommunications (China)
Hongquan Xu - University of California Los Angeles (United States)
Abstract: Strong orthogonal arrays are widely recognized as effective space-filling designs for computer experiments. Among them, those of strength three are particularly useful since strong orthogonal arrays of strength four or higher may be too expansive for some investigations. While conventional arrays of strength three are common, arrays having better space-filling properties are often more desirable. Although such arrays with small numbers of factors have been thoroughly investigated, those with better space-filling properties for larger sizes remain relatively unexplored. A characterization and construction method is developed for large-sized arrays with better space-filling properties, and numerical studies are also conducted to illustrate the usefulness of arrays produced by the method in computer experiments. Additionally, theoretical and computational design results are presented that facilitate the implementation of the construction method.
