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Construction of mixed-level supersaturated split-plot designs

Author

Listed:
  • K. Chatterjee

    (Visva-Bharati University)

  • C. Koukouvinos

    (National Technical University of Athens)

Abstract

This paper considers the construction of mixed-level supersaturated split-plot designs (SSSPDs) which are very useful in screening situations where the number of factors is larger than the number of available observations and several of these factors have levels that they are hard to change. As a benchmark of obtaining optimal SSSPDs, lower bounds to our proposed designs are established. Illustrative examples are presented supporting our constructed designs.

Suggested Citation

  • K. Chatterjee & C. Koukouvinos, 2021. "Construction of mixed-level supersaturated split-plot designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(7), pages 949-967, October.
    • Handle: RePEc:spr:metrik:v:84:y:2021:i:7:d:10.1007_s00184-020-00792-0
    DOI: 10.1007/s00184-020-00792-0
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    References listed on IDEAS

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    1. Georgiou, S. & Koukouvinos, C. & Mantas, P., 2003. "Construction methods for three-level supersaturated designs based on weighing matrices," Statistics & Probability Letters, Elsevier, vol. 63(4), pages 339-352, July.
    2. Are Aastveit & Trygve Almøy & Iwona Mejza & Stanislaw Mejza, 2009. "Individual control treatment in split-plot experiments," Statistical Papers, Springer, vol. 50(4), pages 697-710, August.
    3. D. R. Bingham & E. D. Schoen & R. R. Sitter, 2004. "Designing fractional factorial split‐plot experiments with few whole‐plot factors," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(2), pages 325-339, April.
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