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Orthogonal blocking of response surface split-plot designs

Author

Listed:
  • Li Wang
  • Scott Kowalski
  • G. Geoffrey Vining

Abstract

When all experimental runs cannot be performed under homogeneous conditions, blocking can be used to increase the power for testing the treatment effects. Orthogonal blocking provides the same estimator of the polynomial effects as the one that would be obtained by ignoring the blocks. In many real-life design scenarios, there is at least one factor that is hard to change, leading to a split-plot structure. This paper shows that for a balanced ordinary least square-generalized least square equivalent split-plot design, orthogonal blocking can be achieved. Orthogonally blocked split-plot central composite designs are constructed and a catalog is provided.

Suggested Citation

  • Li Wang & Scott Kowalski & G. Geoffrey Vining, 2009. "Orthogonal blocking of response surface split-plot designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(3), pages 303-321.
    • Handle: RePEc:taf:japsta:v:36:y:2009:i:3:p:303-321
    DOI: 10.1080/02664760802444002
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