For our last example in the chapter, we will be performing a sort-of Bayesian analogue to the two-sample t-test using the same data and problem from the corresponding example in the previous chapter-testing whether the means of the gas mileage for automatic and manual cars are significantly different.

There is another popular Bayesian alternative to NHST, which uses something called

*Bayes factors*to compare the likelihood of the null and alternative hypotheses.As before, let's specify the model using non-informative flat priors, as shown in the following code:

the.model <- " model { # each group will have a separate mu # and standard deviation for(j in 1:2){ mu[j] ~ dunif(0, 60) # prior stddev[j] ~ ...