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Factorial and response surface designs robust to missing observations

Author

Listed:
  • da Silva, Marcelo A.
  • Gilmour, Steven G.
  • Trinca, Luzia A.

Abstract

Compound optimum design criteria which allow pure error degrees of freedom may produce designs that break down when even a single run is missing, if the number of experimental units is small. The inclusion, in the compound criteria, of a measure of leverage uniformity is proposed in order to produce designs that are more robust to missing observations. By appropriately choosing the weights of each part of the criterion, robust designs are obtained that are also highly efficient in terms of other properties. Applications to various experimental setups show the advantages of the new methods.

Suggested Citation

  • da Silva, Marcelo A. & Gilmour, Steven G. & Trinca, Luzia A., 2017. "Factorial and response surface designs robust to missing observations," Computational Statistics & Data Analysis, Elsevier, vol. 113(C), pages 261-272.
    • Handle: RePEc:eee:csdana:v:113:y:2017:i:c:p:261-272
    DOI: 10.1016/j.csda.2016.05.023
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    References listed on IDEAS

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    1. Steven G. Gilmour & Luzia A. Trinca, 2012. "Optimum design of experiments for statistical inference," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 61(3), pages 345-401, May.
    2. Steven G. Gilmour, 2006. "Response Surface Designs for Experiments in Bioprocessing," Biometrics, The International Biometric Society, vol. 62(2), pages 323-331, June.
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