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A counterexample in experimental design showing that the G-criterion function is not necessarily strictly decreasing

  • Design
  • Mathematics


It is shown that, in the case of polynomial regression, there exist experimental designs x, y such that y is not better than x in the sense of the G-criterion although it is uniformly better than x. Furthermore, a simple proof of Jung's theorem on G-optimal exact designs for straight-line regression is given.

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