The medical test paradox Can redesigning Bayes rule help?

The medical test paradox Can redesigning Bayes rule help?

As mentioned in the on-screen note at the end, while the terms « Bayes Factor » and « Likelihood Ratio » refer to the same ratio in this setting, where Bayes rule is used on the probability of an event with only two possible outcomes (you either have the disease or you don’t), they do take on divergent meanings in more general contexts. Namely, if you have a continuous parameter you are trying to estimate, the two terms reflect two alternate approaches you can use in comparing hypotheses. In fact, some people take the phrase « Bayes factor » to _specifically_ refer to its use in this more continuous context.