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Hypothesis testing is a central statistical method in psychological researchand the cognitive sciences. While the problems of null hypothesis significancetesting (NHST) have been debated widely, few attractive alternatives exist. Inthis paper, we provide a tutorial on the Full Bayesian Significance Test (FBST)and the e-value, which is a fully Bayesian alternative to traditionalsignificance tests which rely on p-values. The FBST is an advancedmethodological procedure which can be applied to several areas. In thistutorial, we showcase with two examples of widely used statistical methods inpsychological research how the FBST can be used in practice, provideresearchers with explicit guidelines on how to conduct it and make availableR-code to reproduce all results. The FBST is an innovative method which hasclearly demonstrated to perform better than frequentist significance testing.However, to our best knowledge, it has not been used so far in thepsychological sciences and should be of wide interest to a broad range ofresearchers in psychology and the cognitive sciences.

The Full Bayesian Significance Test and the e-value -- Foundations, theory and application in the cognitive sciences