I am considering reframing my paper-in-progress “Why I Am Not a Likelihoodist” around the following argument:
- The output of a likelihoodist method is a characterization of data as evidence.
- The only good use for a characterization of data as evidence is as an input for a justified inference or decision procedure.
- An inference or decision procedure is justified only if it at least approximates a reasonable frequentist or Bayesian procedure.
- Therefore, the only good use for the output of a likelihoodist method is as an input for an inference or decision procedure that at least approximates a reasonable Bayesian or frequentist procedure. [Read more…]