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Run orders and quantitative factors in asymmetrical designs

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  • A. El Mossadeq
  • A. Koblinsky

Abstract

Results on run orders leading to trend‐free symmetrical factorial designs are extended to the asymmetrical case, using the character theory of abelian groups. The tools developed apply equally to the construction of designs for quantitative treatment factors with eight or more regularly spaced levels. Abelian group theory can also be used to find minimum‐cost run orders for asymmetrical designs, with a cost based on the number of changes of levels between successive runs.

Suggested Citation

  • A. El Mossadeq & A. Koblinsky, 1992. "Run orders and quantitative factors in asymmetrical designs," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 8(4), pages 259-281, December.
    • Handle: RePEc:wly:apsmda:v:8:y:1992:i:4:p:259-281
    DOI: 10.1002/asm.3150080403
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