## A Bayesian formulation of exploratory data analysis and goodness-of-fit testing (2003)

Citations: | 16 - 8 self |

### BibTeX

@MISC{Gelman03abayesian,

author = {Andrew Gelman},

title = {A Bayesian formulation of exploratory data analysis and goodness-of-fit testing},

year = {2003}

}

### OpenURL

### Abstract

Exploratory data analysis (EDA) and Bayesian inference (or, more generally, complex statistical modeling)|which are generally considered as unrelated statistical paradigms|can be particularly eective in combination. In this paper, we present a Bayesian framework for EDA based on posterior predictive checks. We explain how posterior predictive simulations can be used to create reference distributions for EDA graphs, and how this approach resolves some theoretical problems in Bayesian data analysis. We show how the generalization of Bayesian inference to include replicated data y and replicated parameters follows a long tradition of generalizations in Bayesian theory.