On a property of orthogonal arrays and optimal blocking of fractional factorial plans |
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Authors: | Ashish Das Aloke Dey Chand K Midha |
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Institution: | (1) Indian Statistical Institute, New Delhi 110 016, India, IN;(2) Department of Statistics, The University of Akron, Akron, OH 44325-1913, USA, US |
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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.
Acknowledgements. The authors wish to thank the referees for making several useful comments on a previous version. |
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Keywords: | AMS subject classification: 62K15 |
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