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Construction of supersaturated split-plot designs

Author

Listed:
  • K. Chatterjee

    (Visva-Bharati University)

  • C. Koukouvinos

    (National Technical University of Athens)

  • K. Mylona

    (King’s College London
    University Carlos III de Madrid)

Abstract

We propose a combinatorial construction method for setting up informative experiments with both restricted randomisation and a large number of factors. The supersaturated split-plot designs 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. The construction method is based on compound orthogonal arrays. We evaluate the constructed designs using an optimality criterion and we provide a lower bound for this criterion.

Suggested Citation

  • K. Chatterjee & C. Koukouvinos & K. Mylona, 2020. "Construction of supersaturated split-plot designs," Statistical Papers, Springer, vol. 61(5), pages 2203-2219, October.
    • Handle: RePEc:spr:stpapr:v:61:y:2020:i:5:d:10.1007_s00362-018-1028-7
    DOI: 10.1007/s00362-018-1028-7
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    References listed on IDEAS

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    1. 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.
    2. 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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