Optimal two-level regular fractional factorial block and split-plot designs

• 成果类型: Article
• 署名作者: Cheng, Ching-Shui; Tsai, Pi-Wen
• 署名单位: University of California System; University of California Berkeley; National Taiwan Normal University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asn066
• 发表日期: 2009
• 页码: 8393
• 关键词: minimum-aberration; schemes

摘要

We propose a general and unified approach to the selection of regular fractional factorial designs, which can be applied to experiments that are unblocked, blocked or have a split-plot structure. Our criterion is derived as a good surrogate for the model-robustness criterion of information capacity. In the case of random block effects, it takes the ratio of intra- and interblock variances into account. In most of the cases we have examined, there exist designs that are optimal for all values of that ratio. Examples of optimal designs that depend on the ratio are provided. We also demonstrate that our criterion can further discriminate designs that cannot be distinguished by the existing minimum-aberration criteria.