An Improvement in the Lack-of-Fit Optimality of the (Absolutely) Continuous Uniform Design in Respect of Exact Designs

  • Wolfgang Bischoff
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


Designs which have equal numbers of observations taken over a finite set of uniformly spaced points are most popular in practice. For optimum properties of such exact uniform designs, however, reference is often made to the lack of fit (LOF)-optimality of the corresponding absolutely continuous uniform design which is considered as the asymptotic design for the exact uniform designs. It is shown that LOF-optimality in its original form has no relation to exact uniform designs. Subsequently we give conditions under which an interpretation for exact uniform designs is possible.


Model Check Linear Regression Model Regression Function Design Point Uniform Design 
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The author thanks an unknown referee for her/his careful reading of the first draft and for her/his suggestions.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Catholic University Eichstätt-IngolstadtEichstättGermany

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