Bayesian Concentration Ratio and Dissonance

We propose two new classes of Bayesian measure to investigate conflict among data sets from multiple studies. The first (“concentration ratio”) is used quantify the amount information provided by a single set through comparison prior and its posterior distribution, or according their corresponding distributions. second class (“dissonance”) quantifies extent contradiction between sets. Both are based on volumes highest density regions. They well calibrated, supported simulation, computational algorithms for calculation. illustrate these in three real applications: benchmark dose toxicology study, missing study related health effects pollution, pediatric cancer leveraging adult data.