How to briefly interpret/report the Bayes factor in papers
We recently used JASP to calculate the Bayes factor for a couple of experiments in a study that is now under revision. Thank you for this very helpful and intuitive software!
One of our Reviewers now suggests that we misinterpreted the Bayes factor. To be honest, we are a bit confused/uncertain on how to reply. Although the comment does make sense to us, we did inspire our phrasing on an earlier paper using the JASP Bayes factor and were wondering if we could consult your expertise on this?
Specifically, we mentioned:
"The BF01 was 11.499, suggesting that these data are 11.499 more likely to be observed under the null hypothesis."
The reviewer commented:
"According to my understanding, the Bayes factors tell the relative odds that the (in this case) null hypothesis is correct relative to the alternative hypothesis, given these data. Namely, it is not the probability of the data (given the hypothesis) which is what null hypothesis testing tell us, but the probability of the hypothesis given the data."