Abstract.
It is shown that fractional factorial plans represented by orthogonal arrays of strength three are universally optimal under a model that includes the mean, all main effects and all two-factor interactions between a specified factor and each of the other factors. Thus, such plans exhibit a kind of model robustness in being universally optimal under two different models. Procedures for obtaining universally optimal block designs for fractional factorial plans represented by orthogonal arrays are also discussed.
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Acknowledgements. The authors wish to thank the referees for making several useful comments on a previous version.
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Das, A., Dey, A. & Midha, C. On a property of orthogonal arrays and optimal blocking of fractional factorial plans. Metrika 57, 127–135 (2003). https://doi.org/10.1007/s001840200204
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DOI: https://doi.org/10.1007/s001840200204