A CODE ARITHMETIC APPROACH FOR QUATERNARY CODE DESIGNS AND ITS APPLICATION TO (1/64)TH-FRACTIONS

• 成果类型: Article
• 署名作者: Phoa, Frederick K. H.
• 署名单位: Academia Sinica - Taiwan
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/12-AOS1069
• 发表日期: 2012
• 页码: 3161-3175
• 关键词: factorial-designs; one-8th

摘要

The study of good nonregular fractional factorial designs has received significant attention over the last two decades. Recent research indicates that designs constructed from quaternary codes (QC) are very promising in this regard. The present paper aims at exploring the fundamental structure and developing a theory to characterize the wordlengths and aliasing indexes for a general (1/4)(p)th-fraction QC design. Then the theory is applied to (1/64)th-fraction QC designs. Examples are given, indicating that there exist some QC designs that have better design properties, and are thus more cost-efficient, than the regular fractional factorial designs of the same size. In addition, a result about the periodic structure of (1/64)th-fraction QC designs regarding resolution is stated.