EXISTENCE AND CONSTRUCTION OF RANDOMIZATION DEFINING CONTRAST SUBSPACES FOR REGULAR FACTORIAL DESIGNS

• 成果类型: Article
• 署名作者: Ranjan, Pritam; Bingham, Derek R.; Dean, Angela M.
• 署名单位: Acadia University; Simon Fraser University; University System of Ohio; Ohio State University
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/08-AOS644
• 发表日期: 2009
• 页码: 3580-3599
• 关键词: minimum-aberration; 2-level experiments; optimal blocking; RESOLUTION

摘要

Regular factorial designs with randomization restrictions are widely used in practice. This paper provides a unified approach to the construction of such designs using randomization defining contrast subspaces for the representation of randomization restrictions. We use finite projective geometry to determine the existence of designs with the required structure and develop a systematic approach for their construction. An attractive feature is that commonly used factorial designs with randomization restrictions are special cases of this general representation. Issues related to the use of these designs for particular factorial experiments are also addressed.