Blocked nonregular two-level factorial designs

Shao Wei Cheng, William Li, Qian K. Ye

Research output: Contribution to journalArticle

34 Citations (Scopus)

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)
Pages (from-to)269-279
Number of pages11
JournalTechnometrics
Volume46
Issue number3
DOIs
StatePublished - Aug 2004
Externally publishedYes

Fingerprint

Factorial Design
Word Length Pattern
Minimum Aberration
Orthogonal Array
Aliasing
Confounding
Aberrations
Polynomial
Design
Polynomials

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Blocked nonregular two-level factorial designs. / Cheng, Shao Wei; Li, William; Ye, Qian K.

In: Technometrics, Vol. 46, No. 3, 08.2004, p. 269-279.

Research output: Contribution to journalArticle

Cheng, Shao Wei ; Li, William ; Ye, Qian K. / Blocked nonregular two-level factorial designs. In: Technometrics. 2004 ; Vol. 46, No. 3. pp. 269-279.
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