Monitoring futility and efficacy in phase II trials with Bayesian posterior distributions—A calibration approach
Abstract
A multistage single arm phase II trial with binary endpoint is considered. Bayesian posterior probabilities are used to monitor futility in interim analyses and efficacy in the final analysis. For a beta‐binomial model, decision rules based on Bayesian posterior probabilities are converted to “traditional” decision rules in terms of number of responders among patients observed so far. Analytical derivations are given for the probability of stopping for futility and for the probability to declare efficacy. A workflow is presented on how to select the parameters specifying the Bayesian design, and the operating characteristics of the design are investigated. It is outlined how the presented approach can be transferred to statistical models other than the beta‐binomial model.
Citing Literature
Number of times cited according to CrossRef: 5
- Cornelis M. van Tilburg, Ruth Witt, Melanie Heiss, Kristian W. Pajtler, Christoph Plass, Isabel Poschke, Michael Platten, Inga Harting, Oliver Sedlaczek, Angelika Freitag, David Meyrath, Lenka Taylor, Gnana Prakash Balasubramanian, Natalie Jäger, Elke Pfaff, Barbara C. Jones, Till Milde, Stefan M. Pfister, David T. W. Jones, Annette Kopp-Schneider, Olaf Witt, INFORM2 NivEnt: The first trial of the INFORM2 biomarker driven phase I/II trial series: the combination of nivolumab and entinostat in children and adolescents with refractory high-risk malignancies, BMC Cancer, 10.1186/s12885-020-07008-8, 20, 1, (2020).
- Annette Kopp‐Schneider, Silvia Calderazzo, Manuel Wiesenfarth, Power gains by using external information in clinical trials are typically not possible when requiring strict type I error control, Biometrical Journal, 10.1002/bimj.201800395, 62, 2, (361-374), (2019).
- Artashes Tadevosyan, Marek A. Mikulski, Anne Baber Wallis, Linda Rubenstein, Satenik Abrahamyan, Lusine Arestakesyan, Marina Hovsepyan, Steve J. Reynolds, Laurence J. Fuortes, Open fire ovens and effects of in‐home lavash bread baking on carbon monoxide exposure and carboxyhemoglobin levels among women in rural Armenia, Indoor Air, 10.1111/ina.12623, 30, 2, (361-369), (2019).
- Patricia C. Oliveira, Pia Parolin, Fabian Borghetti, Can germination explain the distribution of tree species in a savanna wetland?, Austral Ecology, 10.1111/aec.12811, 44, 8, (1373-1383), (2019).
- Anaclara Guido, Daniela Hoss, Valério D. Pillar, Competitive effects and responses of the invasive grass Eragrostis plana in Río de la Plata grasslands, Austral Ecology, 10.1111/aec.12822, 44, 8, (1478-1486), (2019).




