Optimal additions to and deletions from two-level orthogonal arrays

• 成果类型: Article
• 署名作者: Butler, Neil A.; Ramos, Victorino M.
• 署名单位: University of Nottingham; Colegio de Postgraduados - Mexico
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• 发表日期: 2007
• 页码: 51-61
• 关键词: construction

摘要

Consider the problem of selecting a two-level factorial design. It is well known that two-level orthogonal arrays of strength 4 or more with e extra runs have various optimality properties including generalized Cheng (type 1) optimality when e=1, restricted Cheng (type 1) optimality when e=2 and E-optimality when 3 <= e <= 5. More general Schur optimality results are derived for more general values of e within the more restricted class of augmented two-level orthogonal arrays. Similar results are derived for the class of orthogonal arrays with deletions. Examples are used to illustrate the results and in many cases the designs are confirmed to be optimal across all two-level designs.