We are All Bayesian, Everyone is Not a Bayesian
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Medical research makes intensive use of statistics in order to support its claims. In this paper we make explicit an epistemological tension between the conduct of clinical trials and their interpretation: statistical evidence is sometimes discarded on the basis of an (often) underlined Bayesian reasoning. We suggest that acknowledging the potentiality of Bayesian statistics might contribute to clarify and improve comprehension of medical research. Nevertheless, despite Bayesianism may provide a better account for scientific inference with respect to the standard frequentist approach, Bayesian statistics is rarely adopted in clinical research. The main reason lies in the supposed subjective elements characterizing this perspective. Hence, we discuss this objection presenting the so-called Reference analysis, a formal method which has been developed in the context of objective Bayesian statistics in order to define priors which have a minimal or null impact on posterior probabilities. Furthermore, according to this method only available data are relevant sources of information, so that it resists the most common criticisms against Bayesianism.
KeywordsEvidence Clinical trials Scientific inference Frequentism Bayesian statistics Reference analysis
A. Oldofredi is grateful to the Swiss National Science Foundation for financial support (Grant No. 105212-175971).
- Astin JA, Harkness E, Ernst E (2001) Distant healing. Ann Intern Med 132(6):903–910Google Scholar
- Bernardo JM (2003) Bayesian statistics. In: Viertl R (ed) Probability and statistics. Encyclopedia of life support systems (EOLSS). UNESCO, OxfordGoogle Scholar
- Bernardo JM, Ramon JM (1998) An introduction to Bayesian reference analysis: inference of the ratio of multinomial parameters. J R Stat Soc Ser D 45:1–35Google Scholar
- Efron B (1986) Why isn’t everyone a Bayesian? Am Stat 40(1):1–5Google Scholar
- Emslie G, Rush A, Weinberg W, Kowatch R, Hughes C, Camody T, Rintelmann J (1997) A double-blind, randomized, placebo-controlled trial of fluoxetine in children and adolescents with depression. JAMA Psychiatry 54(11):1037–1037Google Scholar
- Jeffreys H (1961) Theory of Probability, 3rd edn. Oxford University Press, OxfordGoogle Scholar
- Sprenger I (2017) The objectivity of subjective Bayesianism, pp 1 – 27. http://philsci-archive.pitt.edu
- Stegenga J (2011) Is meta-analysis the platinum standard for evidence? Stud Hist Philos Sci C 42(4):497–507Google Scholar
- Syversveen AR (1998) Non-informative Bayesian priors. Interpretation and problems with construction and applications. Preprint Stat 3:1–11Google Scholar