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Criterion-robust optimal product designs for discrimination between nested response surface models
Authors:Min-Hsiao Tsai
Affiliation:1.Department of Statistics,National Taipei University,Taipei,Taiwan
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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