Journal of Statistical Theory and Practice

, Volume 7, Issue 4, pp 725–731 | Cite as

A Note on Saturated First-Order Design with Foldover Structure

  • Dennis K. J. LinEmail author
  • Lili Xiao


A first-order saturated design is the smallest design resulting in unbiased estimates for all main effects. It could be misleading in the presence of interaction effects. This article provides a simple class of first-order saturated designs in which specific two-factor interactions are orthogonal to many of the main effects, while keeping rather high design efficiencies.


D-optimal design Foldover Interaction effects Main effect Saturated design 


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  1. Koukouvinos, C., M. Mitrouli, and J. Seberry. 2000. Bounds on the maximum determinant for (1, −1) matrices. Bull. Inst. Combin. Appl., 29, 39–48.MathSciNetzbMATHGoogle Scholar
  2. Li, W., and D. K. Lin. 2003. Optimal foldover two-level fractional factorial designs. Technometrics, 45, 142–149.MathSciNetCrossRefGoogle Scholar
  3. Lin, D. K. 1993. Another look at first-order saturated designs: The p-efficient designs. Technometrics, 35, 284–292.MathSciNetzbMATHGoogle Scholar
  4. Miller, A., and R. Sitter. 2005. Using folded over non-orthogonal designs. Technometrics, 47, 502–513.MathSciNetCrossRefGoogle Scholar

Copyright information

© Grace Scientific Publishing 2013

Authors and Affiliations

  1. 1.Department of StatisticsThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Tsinghua UniversityBeijingChina

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