For example, Johnson (2013) presents a pretty compelling case that (for t-tests at least) the p<.05 threshold corresponds roughly to a Bayes factor of somewhere between 3:1 and 5:1 in favour of the al...For example, Johnson (2013) presents a pretty compelling case that (for t-tests at least) the p<.05 threshold corresponds roughly to a Bayes factor of somewhere between 3:1 and 5:1 in favour of the alternative. Let’s suppose that the null hypothesis is true about half the time (i.e., the prior probability of H 0 is 0.5), and we use those numbers to work out the posterior probability of the null hypothesis given that it has been rejected at p<.05.
For example, Johnson (2013) presents a pretty compelling case that (for t-tests at least) the p<.05 threshold corresponds roughly to a Bayes factor of somewhere between 3:1 and 5:1 in favour of the al...For example, Johnson (2013) presents a pretty compelling case that (for t-tests at least) the p<.05 threshold corresponds roughly to a Bayes factor of somewhere between 3:1 and 5:1 in favour of the alternative. Let’s suppose that the null hypothesis is true about half the time (i.e., the prior probability of H 0 is 0.5), and we use those numbers to work out the posterior probability of the null hypothesis given that it has been rejected at p<.05.
