Introduction to Bayesian Analysis

http://www.mimuw.edu.pl/~pokar/StatystykaSemMgr/WalshBayesIntro.pdf

"Bayesian statistics is concerned with generating the posterior distribution of the unknown parameters given both the data and some prior density for these parameters. Bayesian statistics creates a much more complete picture of the uncertainty in the estimation of the unknown parameters."

The article's main usefulness lies in suggestions on how to improve the Bayesian process. The author's first suggestion is to remove the effect of non-critical (or at least non interesting) parameters from the overall findings. They label these non-critical parameters as "nuisance" parameters.

Second, the authors recognize the lack of hypothesis testing in the scholarly works of their peers. They underhandedly advocate for such studies to be done.