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Some optimal criteria of model-robustness for two-level non-regular fractional factorial designs

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Abstract

We present some optimal criteria to evaluate model-robustness of non-regular two-level fractional factorial designs. Our method is based on minimizing the sum of squares of all the off-diagonal elements in the information matrix, and considering expectation under appropriate distribution functions for unknown contamination of the interaction effects. By considering uniform distributions on the symmetric support, our criteria can be expressed as linear combinations of B s (d) characteristic, which is used to characterize the generalized minimum aberration. We give some empirical studies for 12-run non-regular designs to evaluate our method.

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Authors and Affiliations

  1. Graduate School of Science and Engineering, Kagoshima University, 1-21-35 Korimoto, Kagoshima, 890-0065, Japan

    Satoshi Aoki

  2. Japan Science and Technology Agency, CREST, Sanbancho, Chiyoda-ku, Tokyo, 102-0075, Japan

    Satoshi Aoki

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  1. Satoshi Aoki
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Correspondence to Satoshi Aoki.

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Aoki, S. Some optimal criteria of model-robustness for two-level non-regular fractional factorial designs. Ann Inst Stat Math 62, 699–716 (2010). https://doi.org/10.1007/s10463-010-0292-7

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  • DOI: https://doi.org/10.1007/s10463-010-0292-7

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