The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Unified frequentist and Bayesian testing of a precise hypothesis
Open accessAbstract
In this paper, we show that the conditional frequentist method of testing a precise hypothesis can be made virtually equivalent to Bayesian testing. The conditioning strategy proposed by Berger, Brown and Wolpert in 1994, for the simple versus simple case, is generalized to testing a precise null hypothesis versus a composite alternative hypothesis. Using this strategy, both the conditional frequentist and the Bayesian will report the same error probabilities upon rejecting or accepting. This is of considerable interest because it is often perceived that Bayesian and frequentist testing are incompatible in this situation. That they are compatible, when conditional frequentist testing is allowed, is a strong indication that the "wrong" frequentist tests are currently being used for postexperimental assessment of accuracy. The new unified testing procedure is discussed and illustrated in several common testing situations.
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Citations
Cites
Cohen, J. (1994) · American Psychologist · doi:10.1037/0003-066x.49.12.997 · Cited by 4,003
Berger, J. O., & Delampady, M. (1987) · Statistical Science · doi:10.1214/ss/1177013238 · Cited by 664
Self-citationBerger, J. O., & Wolpert, R. L. (1988) · doi:10.1214/lnms/1215466210 · Cited by 616
Self-citationTesting a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
Berger, J. O., & Sellke, T. (1987) · Journal of the American Statistical Association · doi:10.2307/2289131 · Cited by 548
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Cited by
A practical solution to the pervasive problems ofp values
Wagenmakers, E.-J. (2007) · Psychonomic Bulletin & Review · doi:10.3758/bf03194105 · Cited by 2,490
Calibration of ρ Values for Testing Precise Null Hypotheses
Sellke, T., Bayarri, M. J., & Berger, J. O. (2001) · The American Statistician · doi:10.1198/000313001300339950 · Cited by 854
Self-citationvon Toussaint, U. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.943 · Cited by 422
Rejection odds and rejection ratios: A proposal for statistical practice in testing hypotheses
Bayarri, M. J., Benjamin, D. J., Berger, J. O., & Sellke, T. M. (2016) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2015.12.007 · Cited by 126
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Metadata
- Authors
- Berger, J. O., Boukai, B., & Wang, Y.
- Venue
- Statistical Science
- Publisher
- Institute of Mathematical Statistics
- Published
- 1997-09-01
- Volume
- 12
- Issue
- 3
- Pages
- 133-160
- ISSN
- 0883-4237 (ISSN-L)
- OpenAlex
- W1560253801
- Cited by
- 189
- References
- 4
- FWCI
- 7.69
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
