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May 2010 The Future of Indirect Evidence
Bradley Efron
Statist. Sci. 25(2): 145-157 (May 2010). DOI: 10.1214/09-STS308


Familiar statistical tests and estimates are obtained by the direct observation of cases of interest: a clinical trial of a new drug, for instance, will compare the drug’s effects on a relevant set of patients and controls. Sometimes, though, indirect evidence may be temptingly available, perhaps the results of previous trials on closely related drugs. Very roughly speaking, the difference between direct and indirect statistical evidence marks the boundary between frequentist and Bayesian thinking. Twentieth-century statistical practice focused heavily on direct evidence, on the grounds of superior objectivity. Now, however, new scientific devices such as microarrays routinely produce enormous data sets involving thousands of related situations, where indirect evidence seems too important to ignore. Empirical Bayes methodology offers an attractive direct/indirect compromise. There is already some evidence of a shift toward a less rigid standard of statistical objectivity that allows better use of indirect evidence. This article is basically the text of a recent talk featuring some examples from current practice, with a little bit of futuristic speculation.


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Bradley Efron. "The Future of Indirect Evidence." Statist. Sci. 25 (2) 145 - 157, May 2010.


Published: May 2010
First available in Project Euclid: 19 November 2010

zbMATH: 1328.62043
MathSciNet: MR2789983
Digital Object Identifier: 10.1214/09-STS308

Rights: Copyright © 2010 Institute of Mathematical Statistics


Vol.25 • No. 2 • May 2010
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