Bayesian Analysis

Coherence and calibration: comments on subjectivity and "objectivity'' in Bayesian analysis (comment on articles by Berger and by Goldstein)

David Draper

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In this contribution to the discussion of "The case for objective Bayesian analysis" by James Berger and "Subjective Bayesian analysis: principles and practice" by Michael Goldstein, I argue that (a) all Bayesian work is inherently subjective and needs to be guided simultaneously by considerations of both coherence and calibration, and (b) "objective" (diffuse) prior distributions are sometimes, but not always, useful in attaining good calibrative performance---it depends (as usual) on your judgment about how knowns (e.g., past observables) and unknowns (e.g., future observables) are related.

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Bayesian Anal. Volume 1, Number 3 (2006), 423-428.

First available in Project Euclid: 22 June 2012

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Meta-analysis out-of-sample predictive calibration


Draper, David. Coherence and calibration: comments on subjectivity and "objectivity'' in Bayesian analysis (comment on articles by Berger and by Goldstein). Bayesian Anal. 1 (2006), no. 3, 423--428. doi:10.1214/06-BA116B.

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  • Boole, G. 1854. An Investigation Into the Laws of Thought. London: MacMillan.
  • Browne, W. and D. Draper. 2006. A comparison of Bayesian and likelihood-based methods for fitting multilevel models (with discussion). Bayesian Analysis this issue.
  • GREATgroup. 1992. Feasibility, safety, and efficacy of domiciliary thrombolysis by general practitioners: Grampian Region Early Anistreplase Trial. British Medical Journal 305: 548–553.
  • Leonhardt, D. 2001. Adding art to the rigor of statistical science. The New York Times ( 28 April 2001.
  • Morrison, L., P. R. Verbeek, A. McDonald, B. Sawadsky, and D. Cook. 2000. Mortality and prehospital thrombolysis for acute myocardial infarction: a meta-analysis. Journal of the American Medical Association 283: 2686–2692.
  • Pocock, S. and D. Spiegelhalter. 1992. Domiciliary thrombolysis by general practitioners. British Medical Journal 305: 1015.
  • Venn, J. 1888. The Logic of Chance. 3rd ed. London: MacMillan.

See also

  • Related item: James Berger. The case for objective Bayesian analysis. Bayesian Anal., Vol. 1, Iss. 3 (2006), 385-402.
  • Related item: Michael Goldstein. Subjective Bayesian Analysis: Principles and Practice. Bayesian Anal., Vol. 1, Iss. 3 (2006), 403-420.