Optimal foldover plans for two-level nonregular orthogonal designs

William Li, Dennis K J Lin, Qian K. Ye

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

This article considers optimal foldover plans for nonregular designs. By using the indicator function, we define words with fractional lengths. The extended word-length pattern is then used to select among non-regular foldover designs. Some general properties of foldover designs are obtained using the indicator function. We prove that the full-foldover plan that reverses the signs of all factors is optimal for all-run and 20-run orthogonal designs. The optimal foldover plans for all 16-run (regular and nonregular) orthogonal designs are constructed and tabulated for practical use. Optimal foldover plans for higher-order orthogonal designs can be constructed in a similar manner.

Original languageEnglish (US)
Pages (from-to)347-351
Number of pages5
JournalTechnometrics
Volume45
Issue number4
DOIs
StatePublished - Nov 2003
Externally publishedYes

Fingerprint

Orthogonal Design
Indicator function
Word Length Pattern
Reverse
Fractional
Higher Order
Design

Keywords

  • Extended word length pattern
  • Foldover design
  • Generalized resolution
  • Indicator function
  • Orthogonal design

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Optimal foldover plans for two-level nonregular orthogonal designs. / Li, William; Lin, Dennis K J; Ye, Qian K.

In: Technometrics, Vol. 45, No. 4, 11.2003, p. 347-351.

Research output: Contribution to journalArticle

Li, William ; Lin, Dennis K J ; Ye, Qian K. / Optimal foldover plans for two-level nonregular orthogonal designs. In: Technometrics. 2003 ; Vol. 45, No. 4. pp. 347-351.
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