Optimal foldover plans for two-level nonregular orthogonal designs

William Li, Dennis K.J. Lin, Kenny Q. Ye

Research output: Contribution to specialist publicationArticle

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)
Pages347-351
Number of pages5
Volume45
No4
Specialist publicationTechnometrics
DOIs
StatePublished - Nov 1 2003

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

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

Cite this

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

In: Technometrics, Vol. 45, No. 4, 01.11.2003, p. 347-351.

Research output: Contribution to specialist publicationArticle

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