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https://doi.org/10.1214/13-BA809

has been cited by the following article:

• TITLE: Frequentist and Bayesian Sample Size Determination for Single-Arm Clinical Trials Based on a Binary Response Variable: A Shiny App to Implement Exact Methods

  AUTHORS: Susanna Gentile, Valeria Sambucini

  KEYWORDS: Binomial Proportion, Frequentist and Bayesian Power Functions, Exact Sample Size Determination, Shiny App, Two-Priors Approach

  JOURNAL NAME: Open Journal of Statistics, Vol.14 No.1, February 29, 2024

  ABSTRACT: Sample size determination typically relies on a power analysis based on a frequentist conditional approach. This latter can be seen as a particular case of the two-priors approach, which allows to build four distinct power functions to select the optimal sample size. We revise this approach when the focus is on testing a single binomial proportion. We consider exact methods and introduce a conservative criterion to account for the typical non-monotonic behavior of the power functions, when dealing with discrete data. The main purpose of this paper is to present a Shiny App providing a user-friendly, interactive tool to apply these criteria. The app also provides specific tools to elicit the analysis and the design prior distributions, which are the core of the two-priors approach.