A Bayesian procedure for testing the independence. Accurate data analysis. Comparison of frequentist and bayesian decision using Heatmaps.

J. Padilla Fernández-Vega, B. González Pérez, L. Sanz San Miguel

We develop a Bayesian procedure to test the independence of two factors in r × s contingency tables. The approximation is based on calculating the posterior probability of the null hypothesis using a mixed prior distribution. Using simulated and real data, we compare the decisions reached by the Bayesian and frequentist approaches using the posterior probability and the usual p −value. This comparison has been developed through heatmap between the different values of the posterior probability and the p- value. To do this, data analysis is performed over r × s tables with a fixed sample size.

Palabras clave: Independence contingency table posterior probability p-value heatmap

E. Moreno Bas, F. J. Girón González-Torre

A. Berihuete Macías, J. Olivares, L. M. Sarro, H. Bouy, E. Moraux

R. Blanquero, E. Carrizosa, P. Ramirez Cobo, R. Sillero-Denamiel