ON THE YEH-BRADLEY CONJECTURE ON LINEAR TREND-FREE BLOCK-DESIGNS

• 成果类型: Article
• 署名作者: CHAI, FS; MAJUMDAR, D
• 署名单位: University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1176349411
• 发表日期: 1993
• 页码: 2087-2097
• 关键词: construction

摘要

Yeh and Bradley conjectured that every binary connected block design with blocks of size k and a constant replication number r for each treatment can be converted to a linear trend-free design by permuting the positions of treatments within blocks if and only if r(k + 1) = 0 (mod 2). This conjecture is studied. Results include: (i) the conjecture is true whenever the block size is even and (ii) the conjecture is true for BIB designs.