Optimal design with many blocking factors

• 成果类型: Article
• 署名作者: Morgan, JP; Bailey, RA
• 署名单位: Old Dominion University; University of London; Queen Mary University London
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1016218230
• 发表日期: 2000
• 页码: 553-577
• 关键词: row-column designs; asymmetrical orthogonal arrays; nested rows; gerechte designs; CONSTRUCTION; sizes

摘要

Designs for sets of experimental units with many blocking factors are studied. It is shown that if the set of blocking factors satisfies a certain simple condition then the information matrix for the design has a simple form. In consequence, a design is optimal if it is optimal with respect to one particular blocking factor and regular with respect to all the rest, in a sense which is made precise in the paper. This encompasses several previous results for optimal designs with more than one blocking factor, and applications to many other situations are given.