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Exact experimental designs are presented that minimize the maximum variance of the best linear unbiased estimator of a quadratic regression function on an interval. The main result confirms a conjecture of Constantine, Lim and Studden, which is based on earlier computations of Gaffke and Krafft (Constantine et al. [1987. Admissible and optimal exact designs for polynomial regression. J. Statist. Plann...
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