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arXiv · 1303.6529

Random generation of optimal saturated designs

Roberto Fontana
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Abstract

Efficient algorithms for searching for optimal saturated designs are widely available. They maximize a given efficiency measure (such as D-optimality) and provide an optimum design. Nevertheless, they do not guarantee a \emph{global} optimal design. Indeed, they start from an initial random design and find a local optimal design. If the initial design is changed the optimum found will, in general, be different. A natural question arises. Should we stop at the design found or should we run the algorithm again in search of a better design? This paper uses very recent methods and software for discovery probability to support the decision to continue or stop the sampling. A software tool written in SAS has been developed.

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Roberto Fontana. 2013-03-26. Random generation of optimal saturated designs. https://arxiv.org/abs/1303.6529

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