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Approaches to sample size calculation for clinical trials in rare diseases
Authors:Frank Miller  Sarah Zohar  Nigel Stallard  Jason Madan  Martin Posch  Siew Wan Hee  Michael Pearce  Mårten Vågerö  Simon Day
Institution:1. Department of Statistics, Stockholm University, Stockholm, Sweden;2. INSERM, U1138, Team 22, Centre de Recherche des Cordeliers, Université Paris 5, Université Paris 6, Paris, France;3. Statistics and Epidemiology, Division of Health Sciences, Warwick Medical School, University of Warwick, Coventry, UK;4. Clinical Trials Unit, Warwick Medical School, University of Warwick, Coventry, UK;5. Section for Medical Statistics, Center for Medical Statistics, Informatics, and Intelligent Systems, Medical University of Vienna, Vienna, Austria;6. Complexity Science, University of Warwick, Coventry, UK;7. Swedish Orphan Biovitrum, Stockholm, Sweden;8. Clinical Trials Consulting and Training Limited, Buckingham, UK
Abstract:We discuss 3 alternative approaches to sample size calculation: traditional sample size calculation based on power to show a statistically significant effect, sample size calculation based on assurance, and sample size based on a decision‐theoretic approach. These approaches are compared head‐to‐head for clinical trial situations in rare diseases. Specifically, we consider 3 case studies of rare diseases (Lyell disease, adult‐onset Still disease, and cystic fibrosis) with the aim to plan the sample size for an upcoming clinical trial. We outline in detail the reasonable choice of parameters for these approaches for each of the 3 case studies and calculate sample sizes. We stress that the influence of the input parameters needs to be investigated in all approaches and recommend investigating different sample size approaches before deciding finally on the trial size. Highly influencing for the sample size are choice of treatment effect parameter in all approaches and the parameter for the additional cost of the new treatment in the decision‐theoretic approach. These should therefore be discussed extensively.
Keywords:assurance  clinical trial  decision theory  rare disease  sample size calculation
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