New results on optimal conditional error functions for adaptive two-stage designs

Unblinded interim analyses in clinical trials with adaptive designs are gaining increasing popularity. Here, the type I error rate is controlled by defining an appropriate conditional error function. Since various approaches to the selection of the conditional error function exist, the question of a...

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Hauptverfasser: Pilz, Maximilian (VerfasserIn) , Kieser, Meinhard (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2024
In: Journal of applied statistics
Year: 2024, Jahrgang: 51, Heft: 15, Pages: 3178-3194
ISSN:1360-0532
DOI:10.1080/02664763.2024.2342424
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1080/02664763.2024.2342424
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Verfasserangaben:Maximilian Pilz, Meinhard Kieser

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520 |a Unblinded interim analyses in clinical trials with adaptive designs are gaining increasing popularity. Here, the type I error rate is controlled by defining an appropriate conditional error function. Since various approaches to the selection of the conditional error function exist, the question of an optimal choice arises. In this article, we extend existing work on optimal conditional error functions by two results. Firstly, we prove that techniques from variational calculus can be applied to derive existing optimal conditional error functions. Secondly, we answer the question of optimizing the conditional error function of an optimal promising zone design and investigate the efficiency gain. 
650 4 |a Adaptive design 
650 4 |a clinical trial 
650 4 |a conditional error function 
650 4 |a optimal design 
650 4 |a variational calculus 
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