Indicator functions and the algebra of the linear-quadratic parameterization

• 成果类型: Article
• 署名作者: Sabbaghi, Arman; Dasgupta, Tirthankar; Wu, C. F. Jeff
• 署名单位: Harvard University; University System of Georgia; Georgia Institute of Technology
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/ast070
• 发表日期: 2014
• 页码: 351363
• 关键词: fractional factorial-designs

摘要

Indicator functions are constructed under the linear-quadratic parameterization for contrasts, and applied to the study of partial aliasing properties for three-level fractional factorial designs. An algebraic operation is introduced for the calculation of indicator function coefficients. This operation connects design construction methods to the analysis under the linear-quadratic system, and helps establish simple conditions for the estimability of interactions.