Blocked nonregular two-level factorial designs

Shao Wei Cheng, William Li, Kenny Q. Ye

Research output: Contribution to specialist publicationArticle

36 Scopus citations


This article discusses the optimal blocking criteria for nonregular two-level designs. We extend the optimal blocking criteria of Cheng and Wu to nonregular designs by adapting the G- and G 2-minimum aberration criteria discussed by Tang and Deng. To define word-length pattern for nonregular designs, we extend the notion of "word" to nonregular designs through a polynomial representation of factorial designs. We define treatment resolution and block resolution for evaluating the degrees of aliasing and confounding. We propose four new criteria, which we use to search for optimal blocking schemes of 12-run, 16-run, and 20-run two-level orthogonal arrays.

Original languageEnglish (US)
Number of pages11
Specialist publicationTechnometrics
StatePublished - Aug 2004
Externally publishedYes


  • Aliasing: Confounding
  • Defining contrast subgroup
  • Indicator function
  • Orthogonal arrays
  • Resolution
  • Word-length pattern

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics


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