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Graphical prior elicitation in univariate models
Authors:Christopher J. Casement  David J. Kahle
Affiliation:1. Department of Statistical Science, Baylor University, Waco, Texascasementc@gmail.com;3. Department of Statistical Science, Baylor University, Waco, Texas
Abstract:ABSTRACT

Standard prior elicitation procedures require experts to explicitly quantify their beliefs about parameters in the form of multiple summaries. In this article, we draw on recent advances in the statistical graphics and information visualization communities to propose a novel elicitation scheme that implicitly learns an expert’s opinions through their sequential selection of graphics of carefully constructed hypothetical future samples. While the scheme can be applied to a broad array of models, we use it to construct procedures for elicitation in data models commonly used in practice: Bernoulli, Poisson, and Normal. We also provide open-source, web-based Shiny implementations of the procedures.
Keywords:Bayesian statistics  Graphical inference  Prior elicitation  Shiny
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