Other advocates of the Likelihood Principle have argued that while Stein’s purported counterexample illustrates a conflict between the Likelihood Principle and frequentist reasoning, the problem lies with the frequentist reasoning rather than with the Likelihood Principle. I argue here that the example does not even illustrate a conflict between the Likelihood Principle and frequentist reasoning. The result Stein has establishes does not indicate a conflict between the Likelihood Principle and reasoning that is correct from any defensible frequentist perspective. It is superficially similar to a result that would indicate such a conflict, but that result does not follow from Stein’s argument.
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