%0 Journal Article
%T Frequentist and Bayesian Sample Size Determination for Single-Arm Clinical Trials Based on a Binary Response Variable: A Shiny App to Implement Exact Methods
%A Susanna Gentile
%A Valeria Sambucini
%J Open Journal of Statistics
%P 90-105
%@ 2161-7198
%D 2024
%I Scientific Research Publishing
%R 10.4236/ojs.2024.141004
%X Sample size determination typically relies on </span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">a </span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">power
analysis based on a frequentist conditional approach. This latter can be seen
as a particular case of the two-priors approach</span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">,</span></span></span><span><span><span style=\"font-family:&quot;\"> </span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">which</span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"> 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 provid</span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">ing</span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"> a
user-friendly, interactive tool to apply these criteria. The app also provides
specific tools to elicit the analysis and the design</span></span></span><span><span><span style=\"font-family:&quot;\"> </span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">prior
distributions, which are the core of the two-priors approach.
%K Binomial Proportion
%K Frequentist and Bayesian Power Functions
%K Exact Sample Size Determination
%K Shiny App
%K Two-Priors Approach
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=131508