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Criterion-robust optimal product designs for discrimination between nested response surface models

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Abstract

Consider the problem of discriminating between two rival response surface models and estimating parameters in the identified model. To construct designs serving for both model discrimination and parameter estimation, the M γ-optimality criterion, which puts weight γ (0≤γ≤1) for model discrimination and 1 − γ for parameter estimation, is adopted. The corresponding M γ-optimal product design is explicitly derived in terms of canonical moments. With the application of the maximin principle on the M γ-efficiency of any M γ'-optimal product design, a criterion-robust optimal product design is proposed.

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Authors and Affiliations

  1. Department of Statistics, National Taipei University, Taipei, 23741, Taiwan

    Min-Hsiao Tsai

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  1. Min-Hsiao Tsai
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Correspondence to Min-Hsiao Tsai.

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Tsai, MH. Criterion-robust optimal product designs for discrimination between nested response surface models. Metrika 70, 355–367 (2009). https://doi.org/10.1007/s00184-008-0196-1

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  • DOI: https://doi.org/10.1007/s00184-008-0196-1

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