We propose a response-adaptive design, described in terms of urn model, whose allocation proportion converges to prespecified values. The main asymptotic results concerning the urn designs are presented and discussed. We adopt the urn model to implement the random allocation procedure of an experiment that aims at testing the mean effect of two treatments. We conduct a statistical analysis on the inferential performance of different tests and we show that, given a non adaptive test T0, the response adaptive model constructs a test T that is better than T0, in terms of (a) higher power and (b) fewer subjects assigned to the inferior treatment. A retrospective real case study is presented.
Statistical properties of urn designs in clinical trials / A. Ghiglietti, A.M. Paganoni - In: Proceedings of XLVII Scientific meeting of the Italian Statistical Society / [a cura di] S. Cabras, T. Di Battista, W. Racugno. - [s.l] : Cuec Editrice, 2014 Jun. - ISBN 9788884678744. - pp. 1-8 (( Intervento presentato al 47. convegno Scientific meeting of the Italian Statistical Society tenutosi a Cagliari nel 2014.
Statistical properties of urn designs in clinical trials
A. Ghiglietti;
2014
Abstract
We propose a response-adaptive design, described in terms of urn model, whose allocation proportion converges to prespecified values. The main asymptotic results concerning the urn designs are presented and discussed. We adopt the urn model to implement the random allocation procedure of an experiment that aims at testing the mean effect of two treatments. We conduct a statistical analysis on the inferential performance of different tests and we show that, given a non adaptive test T0, the response adaptive model constructs a test T that is better than T0, in terms of (a) higher power and (b) fewer subjects assigned to the inferior treatment. A retrospective real case study is presented.Pubblicazioni consigliate
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