Blocked nonregular two-level factorial designs

Shao Wei Cheng, William Li, Kenny Q. Ye

Research output: Contribution to specialist publicationArticle

35 Scopus citations

Abstract

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)
Pages269-279
Number of pages11
Volume46
No3
Specialist publicationTechnometrics
DOIs
StatePublished - Aug 1 2004

Keywords

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

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