A Tutorial on Bayesian Hypothesis Testing of Correlation Coefficients Using the BFpack-Module in JASP

Correlation coefficients play a central role in scientific research to quantify the (linear) association between certain key variables of interest. Currently, hypothesis testing of correlation coefficients, such as whether a correlation equals zero or whether two correlations are equal, is mainly done using classical p values, despite their known limitations. An important cause of this problem is the limited availability of statistical software that supports alternative, Bayesian testing procedures. To address this shortcoming, the current tutorial paper showcases how to perform Bayesian hypothesis tests on correlation coefficients using the new BFpack module in the free and open-source software program JASP. The module supports Bayesian tests of various types of correlations such as product-moment correlations, polyserial correlations, or tetrachoric correlations, among others. Moreover, both dependent and independent correlations can be tested to be zero or tested against each other. This tutorial aims to get researchers acquainted with this new flexible testing paradigm which avoids the limitations of classical methods, and to make the methodology widely available to the re- search community.