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On the robustness of balanced fractional 2m factorial designs of resolution 2l+1 in the presence of outliers

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Summary

By use of the algebraic structure, we obtain a simplified expression for the outlier-insensitivity factor for balanced fractional 2m factorial (2m-BFF) designs of resolution 2l+1 derived from simple arrays (S-arrays), whose measure has been introduced by Ghosh and Kipnegeno (1985,J. Statist. Plann. Inference,11, 119–129). It is defined by use of the measure suggested by Box and Draper (1975,Biometrika, 62 (2), 347–352). As examples, we study the sensitivity ofA-optimal 2m-BFF designs of resolution VII (i.e.,l=3) given by Shirakura (1976,Ann. Statist.,4, 515–531; 1977,Hiroshima Math. J.,7, 217–285). We observe that these designs are robust in the sense that they have low sensitivities.

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Authors and Affiliations

  1. Hiroshima University, Hiroshima, Japan

    Masahide Kuwada

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  1. Masahide Kuwada
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Research supported in part by Grant 59530012 (C) and 60530014 (C), Japan.

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Kuwada, M. On the robustness of balanced fractional 2m factorial designs of resolution 2l+1 in the presence of outliers. Ann Inst Stat Math 39, 649–659 (1987). https://doi.org/10.1007/BF02491497

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  • DOI: https://doi.org/10.1007/BF02491497

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