A general rotation method for orthogonal Latin hypercubes. (21st April 2017)

• Record Type: Journal Article
• Authors: Sun, Fasheng; Tang, Boxin
• Is Part Of: Biometrika. Volume 104:Number 2(2017)
• Page Start: 465
• Page End: 472
• Publication Date: 2017-04-21
• Subjects: Computer experiment -- Orthogonal array -- Space-filling design; Biometry -- Periodicals; 570.1519505
• DOI: 10.1093/biomet/asx022
• Languages: English
• ISSNs: 0006-3444

Abstract

Summary : Orthogonal Latin hypercubes provide a class of useful designs for computer experiments. Among the available methods for constructing such designs, the method of rotation is particularly prominent due to its theoretical appeal as well as its space-filling properties. This paper presents a general method of rotation for constructing orthogonal Latin hypercubes, making the rotation idea applicable to many more situations than the original method allows. In addition to general theoretical results, many new orthogonal Latin hypercubes are obtained and tabulated.