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

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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Year of publication:	1997
Authors:	Imhof, Lorens
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 35.1997, 4, p. 341-344
Publisher:	Elsevier
Keywords:	Variance function Uniform ordering Exact designs Polynomial regression

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005319199