The major virtues and vices of Bayesian, frequentist, and likelihoodist approaches to statistical inference.# Introduction
My goal in this post and the previous one is to provide a short, self-contained introduction to likelihoodist, Bayesian, and frequentist methods that is readily available online and accessible to someone with no special training who wants to know what all the fuss is about.
In the previous post, I gave a motivating example that illustrates the enormous costs of the failure of philosophers, statisticians, and scientists to reach consensus on a reasonable, workable approach to statistical inference. I then used a fictitious variant on that example to illustrate how likelihoodist, Bayesian, and frequentist methods work in a simple case. In this post, I discuss a stranger case that better illustrates how likelihoodist, Bayesian, and frequentist methods come apart. [Read more…]