Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle"
Michael Evans
TL;DR
This paper critically examines Birnbaum's argument for the Strong Likelihood Principle, analyzing its validity, relevance, and the objections raised by Mayo, and clarifies misconceptions about the proof's implications.
Contribution
It provides a detailed discussion of Birnbaum's result, addressing objections and clarifying the proof's significance in statistical reasoning.
Findings
Birnbaum's argument has nuanced validity issues.
Mayo's objections highlight important interpretative challenges.
The proof does not establish the Strong Likelihood Principle as commonly believed.
Abstract
We discuss Birnbaum's result, its relevance to statistical reasoning, Mayo's objections and the result in [Electron. J. Statist. 7 (2013) 2645-2655] that the proof of this result doesn't establish what is commonly believed. [arXiv:1302.7021]
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