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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...


Optimal Design of Experiments for Liquid–Liquid Equilibria Characterization via...

Duarte, Belmiro P. M.; Atkinson, Anthony C.; Granjo, José F. O.; Oliveira, Nuno M. C.

Liquid–liquid equilibria (LLE) characterization is a task requiring considerable work and appreciable financial resources. Notable savings in time and effort can be achieved when the experimental plans use the methods of the optimal design of experiments that maximize the information obtained. To achieve this goal, a systematic optimization formulation based on Semidefinite Programming is proposed for finding o...


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