Bayesian inference in two‐arm trials using relative belief ratios |
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Authors: | Saman Muthukumarana Michael Evans |
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Institution: | 1. Department of Statistics, University of Manitoba, Winnipeg, Canada;2. Department of Statistics, University of Toronto, Toronto, Canada |
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Abstract: | Various methodologies proposed for some inference problems associated with two‐arm trails are known to suffer from difficulties, as documented in Senn (2001). We propose an alternative Bayesian approach to these problems that deals with these difficulties through providing an explicit measure of statistical evidence and the strength of this evidence. Bayesian methods are often criticized for their intrinsic subjectivity. We show how these concerns can be dealt with through assessing the bias induced by a prior model checking and checking for prior‐data conflict. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | relative belief ratios measuring statistical evidence bias induced from a prior model checking checking for prior‐data conflict equivalence noninferiority |
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