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Optimal design of experiments for hypothesis testing on ordered treatments via ...

Duarte, Belmiro P. M.; Atkinson, Anthony C.; Singh, Satya P.; Reis, Marco S.

We find experimental plans for hypothesis testing when a prior ordering of experimental groups or treatments is expected. Despite the practical interest of the topic, namely in dose finding, algorithms for systematically calculating good plans are still elusive. Here, we consider the intersection-union principle for constructing optimal experimental designs for testing hypotheses about ordered treatments. We pr...


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