Abstract
T-optimum designs for discriminating between two nested polynomial regression models in one variable that differ in the presence or absence of the two highest order terms are studied as a function of the values of the parameters of the true model. For the value of the parameters corresponding to the absence of the next-highest order term, the optimum designs are not unique and can contain an additional support point. A numerical exploration of the non-uniqueness reveals a connection with Ds-optimality for models which do contain the next highest term. Brief comments are given on the analysis of data from such designs
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Acknowledgements
I am most grateful to a referee who suggested exploring the properties of designs for discriminating between the pairs of models (8) and so led me to the results reported in §4.
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Atkinson, A.C. (2010). The Non-Uniqueness of Some Designs for Discriminating Between Two Polynomial Models in One Variable. In: Giovagnoli, A., Atkinson, A., Torsney, B., May, C. (eds) mODa 9 – Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2410-0_2
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DOI: https://doi.org/10.1007/978-3-7908-2410-0_2
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