Discussion of “On the Birnbaum argument for the strong likelihood principle”. (English) Zbl 1332.62018
Summary: D. Mayo [ibid. 29, No. 2, 227–239 (2014; Zbl 1332.62025)] claims to have refuted A. Birnbaum’s argument in [J. Am. Stat. Assoc. 57, 269–306, 307–326 (1962; Zbl 0107.36505)] that the Likelihood Principle is a logical consequence of the Sufficiency and Conditionality Principles. However, this claim fails because her interpretation of the Conditionality Principle is different from Birnbaum’s. Birnbaum’s proof cannot be so readily dismissed.
MSC:
| 62A01 | Foundations and philosophical topics in statistics |
| 62D05 | Sampling theory, sample surveys |
| 62B05 | Sufficient statistics and fields |
Keywords:
conditionality principle; Birnbaum’s theorem; likelihood principle; sufficiency principle; weak conditionality principleReferences:
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