Null hypothesis significance testing (NHST)




Box: How to derive the Bayes factor.









Box: The marginal likelihood.






Summary




Prior and posterior model probabilities

Conditional on the two specific models being tested ($\mathcal{H}_0$ and $\mathcal{H}_1$), below is a breakdown of how the prior probabilities, the Bayes factor, and the posterior probabilities relate to each other:


Posterior distribution of $\delta$ under $\mathcal{H}_1$



Bayes factor — Interpretation 1



Bayes factor — Interpretation 2











Below is a list of important things to keep in mind when interpreting the Bayes factor.



Explanation


Interpretation