Miscellanea Nearly orthogonal arrays mappable into fully orthogonal arrays

• 成果类型: Article
• 署名作者: Mukerjee, Rahul; Sun, Fasheng; Tang, Boxin
• 署名单位: Indian Institute of Management (IIM System); Indian Institute of Management Calcutta; Northeast Normal University - China; Simon Fraser University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asu042
• 发表日期: 2014
• 页码: 957963
• 关键词: construction; designs

摘要

We develop a method for construction of arrays which are nearly orthogonal, in the sense that each column is orthogonal to a large proportion of the other columns, and which are convertible to fully orthogonal arrays via a mapping of the symbols in each column to a possibly smaller set of symbols. These arrays can be useful in computer experiments as designs which accommodate a large number of factors and enjoy attractive space-filling properties. Our construction allows both the mappable nearly orthogonal array and the consequent fully orthogonal array to be either symmetric or asymmetric. Resolvable orthogonal arrays play a key role in the construction.