Informed Bayesian T-Tests

Understand

Across the empirical sciences, few statistical procedures rival the popularity of the frequentist t-test.

• In contrast, the Bayesian versions of the t-test have languished in obscurity.
• In recent years, however, the theoretical and practical advantages of the Bayesian t-test have become increasingly apparent and various Bayesian t-tests have been proposed, both objective ones (based on general desiderata) and subjective ones (based on expert knowledge).
• Here we propose a flexible t-prior for standardized effect size that allows computation of the Bayes factor by evaluating a single numerical integral.