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

Ching Shui Cheng*, Pi Wen Tsai

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

17 引文 斯高帕斯(Scopus)

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.

原文英語
頁(從 - 到)83-93
頁數11
期刊Biometrika
96
發行號1
DOIs
出版狀態已發佈 - 2009 三月

ASJC Scopus subject areas

  • 統計與概率
  • 數學(全部)
  • 農業與生物科學(雜項)
  • 農業與生物科學 (全部)
  • 統計、概率和不確定性
  • 應用數學

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