Abstract
In this article, the problem of constructing efficient discrimination designs in a Fourier regression model is considered. We propose designs which maximize the power of the F-test, which discriminates between the two highest order models, subject to the constraints that the tests that discriminate between lower order models have at least some given relative power. A complete solution is presented in terms of the canonical moments of the optimal designs, and for the special case of equal constraints even more specific formulae are available.
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Biedermann, S., Dette, H. & Hoffmann, P. Constrained optimal discrimination designs for Fourier regression models. Ann Inst Stat Math 61, 143–157 (2009). https://doi.org/10.1007/s10463-007-0133-5
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DOI: https://doi.org/10.1007/s10463-007-0133-5