Hypothesis Testing, “Dutch Book” Arguments, and Risk

Philosophy of Science 82 (5):917-929 (2015)

Daniel Malinsky
Carnegie Mellon University
“Dutch Book” arguments and references to gambling theorems are typical in the debate between Bayesians and scientists committed to “classical” statistical methods. These arguments have rarely convinced non-Bayesian scientists to abandon certain conventional practices, partially because many scientists feel that gambling theorems have little relevance to their research activities. In other words, scientists “don’t bet.” This article examines one attempt, by Schervish, Seidenfeld, and Kadane, to progress beyond such apparent stalemates by connecting “Dutch Book”–type mathematical results with principles actually endorsed by practicing experimentalists
Keywords Hypothesis testing  Dutch Book argument  Bayesianism  Frequentism  Risk
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DOI 10.1086/683341
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References found in this work BETA

Theory and Evidence.Clark Glymour - 1980 - Philosophy of Science 48 (3):498-500.
Truth and Probability.F. Ramsey - 1926 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. Routledge. pp. 52-94.
Scotching Dutch Books?Alan Hajek - 2005 - Philosophical Perspectives 19 (1):139-151.
Subjective Probability: Criticisms, Reflections, and Problems. [REVIEW]H. Kyburg - 1978 - Journal of Philosophical Logic 7 (1):157 - 180.

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Stopping rules as experimental design.Samuel C. Fletcher - 2019 - European Journal for Philosophy of Science 9 (2):1-20.

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