A New Proof of the Likelihood Principle


Authors
Greg Gandenberger
University of Pittsburgh
Abstract
I present a new proof of the likelihood principle that avoids two responses to a well-known proof due to Birnbaum. I also respond to arguments that Birnbaum’s proof is fallacious, which if correct could be adapted to this new proof. On the other hand, I urge caution in interpreting proofs of the likelihood principle as arguments against the use of frequentist statistical methods. 1 Introduction2 The New Proof3 How the New Proof Addresses Proposals to Restrict Birnbaum’s Premises4 A Response to Arguments that the Proofs Are Fallacious5 Conclusion
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DOI 10.1093/bjps/axt039
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References found in this work BETA

Error and the Growth of Experimental Knowledge.Deborah Mayo - 1996 - International Studies in the Philosophy of Science 15 (1):455-459.
Error and the Growth of Experimental Knowledge.Deborah Mayo - 1997 - British Journal for the Philosophy of Science 48 (3):455-459.
On the Foundations of Statistical Inference.Allan Birnbaum - 1962 - Journal of the American Statistical Association 57 (298):269--306.

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Citations of this work BETA

Statistical Inference and the Replication Crisis.Lincoln J. Colling & Dénes Szűcs - forthcoming - Review of Philosophy and Psychology.
Counting Experiments.Jonathan Livengood - 2017 - Philosophical Studies 176 (1):175-195.

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