Orthogonal arrays robust to nonnegligible two-factor interactions

• 成果类型: Article
• 署名作者: Tang, BX
• 署名单位: Simon Fraser University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/93.1.137
• 发表日期: 2006
• 页码: 137146
• 关键词: resolution-iii; designs; iv

摘要

Regular fractional factorial designs with clear two-factor interactions provide a useful class of designs that are robust to nonnegligible two-factor interactions. In this paper, the concept of clear two-factor interactions is generalised to orthogonal arrays. The new concept leads to a much wider class of designs robust to nonnegligible two-factor interactions. We study the existence and construction of such designs. The designs we construct have a structure that render themselves particularly attractive in the robust parameter design setting. We also discuss an interesting connection between designs with clear two-factor interactions and mixed orthogonal arrays.