Autori:
Schmidt, René,
Faldum, Andreas,
Gerss, JoachimTitolo:
Adaptive designs with arbitrary dependence structure based on Fisher's combination testPeriodico:
Statistical methods & applications : Journal of the Italian Statistical SocietyAnno:
2015 - Volume:
24 - Fascicolo:
3 - Pagina iniziale:
427 - Pagina finale:
447Adaptive designs were originally developed for independent and uniformly distributed ......-values. However, in general the type I error rate of a given adaptive design depends on the true dependence structure between the stage-wise ......-values. Since there are settings, where the ......-values of the stages might be dependent with even unknown dependence structure, it is of interest to consider the most adverse dependence structure maximizing the type I error rate of a given adaptive design (worst case). In this paper, we explicitly study the type I error rate in the worst case for adaptive designs without futility stop based on Fisher's combination test. Potential inflation of the type I error rate is studied if the dependence structure between the ......-values of the stages is not taken into account adequately. It turns out that considerable inflation of the type I error rate can occur. This emphasizes that the examination of the true dependence structure between the stage-wise ......-values and an adequate choice of the conditional error function is crucial when adaptive designs are used.
SICI: 1618-2510(2015)24:3<427:ADWADS>2.0.ZU;2-A
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