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Factorial designs robust against the presence of an aberration

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  • Biswas, A.
  • Das, P.
  • Mandal, N.K.

Abstract

In this paper, designs, insensitive to the presence of an outlier for estimating a complete set of orthonormal treatment contrasts representing the factorial effects, are obtained for both complete and fractional factorial designs. Fractional factorials incorporated in blocks are also considered in this study. In case of blocked complete factorials, semi-regular group divisible designs and for fractional factorials, universally optimal plans are found to be robust.

Suggested Citation

  • Biswas, A. & Das, P. & Mandal, N.K., 2017. "Factorial designs robust against the presence of an aberration," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 326-334.
    • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:326-334
    DOI: 10.1016/j.spl.2017.06.005
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    References listed on IDEAS

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    1. J. A. John, 1978. "Outliers in Factorial Experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(2), pages 111-119, June.
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