caa a22 4500 606196498 CHVBK 20210128100924.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10260-014-0291-6 doi (NATIONALLICENCE)springer-10.1007/s10260-014-0291-6 Adaptive designs with arbitrary dependence structure based on Fisher's combination test [Elektronische Daten] [René Schmidt, Andreas Faldum, Joachim Gerß] Adaptive designs were originally developed for independent and uniformly distributed $$p$$ p -values. However, in general the type I error rate of a given adaptive design depends on the true dependence structure between the stage-wise $$p$$ p -values. Since there are settings, where the $$p$$ p -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 $$p$$ p -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 $$p$$ p -values and an adequate choice of the conditional error function is crucial when adaptive designs are used. Springer-Verlag Berlin Heidelberg, 2014 Adaptive design nationallicence Bauer and Köhne design nationallicence Copula nationallicence Dependent $$p$$ p -values nationallicence Fisher's combination test nationallicence Schmidt René Institute of Biostatistics and Clinical Research, University of Münster, Schmeddingstr. 56, 48149, Münster, Germany aut Faldum Andreas Institute of Biostatistics and Clinical Research, University of Münster, Schmeddingstr. 56, 48149, Münster, Germany aut Gerß Joachim Institute of Biostatistics and Clinical Research, University of Münster, Schmeddingstr. 56, 48149, Münster, Germany aut Statistical Methods & Applications Springer Berlin Heidelberg 24/3(2015-09-01), 427-447 1618-2510 24:3<427 2015 24 10260 https://doi.org/10.1007/s10260-014-0291-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10260-014-0291-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Schmidt René Institute of Biostatistics and Clinical Research, University of Münster, Schmeddingstr. 56, 48149, Münster, Germany aut NATIONALLICENCE 700 1- Faldum Andreas Institute of Biostatistics and Clinical Research, University of Münster, Schmeddingstr. 56, 48149, Münster, Germany aut NATIONALLICENCE 700 1- Gerß Joachim Institute of Biostatistics and Clinical Research, University of Münster, Schmeddingstr. 56, 48149, Münster, Germany aut NATIONALLICENCE 773 0- Statistical Methods & Applications Springer Berlin Heidelberg 24/3(2015-09-01), 427-447 1618-2510 24:3<427 2015 24 10260