Open Conference Systems, 50th Scientific meeting of the Italian Statistical Society

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Multipurpose optimal designs for hypothesis testing in normal response trials
Marco Novelli, Maroussa Zagoraiou

Last modified: 2018-05-18


This work deals with the problem of designing multiarm clinical trials for comparing treatments in order to achieve a compromise between the power of the classical Wald test of homogeneity of the treatment effects and ethical demands. In [5] the authors derived the target allocation maximizing the non-centrality parameter of Wald test for normal responses under a suitable ethical constraint reflecting the treatment effects. Starting from these results, in this paper we provide some important properties of this constrained optimal allocation, like e.g. its DA admissibility and its efficiency with respect to ethical and inferential criteria, taking into account estimation precision as well. Comparisons with some allocation proportions proposed in the literature are also presented.


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