The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Testing Precise Hypotheses
Open accessAbstract
Testing of precise (point or small interval) hypotheses is reviewed, with special emphasis placed on exploring the dramatic conflict between conditional measures (Bayes factors and posterior probabilities) and the classical P-value (or observed significance level). This conflict is highlighted by finding lower bounds on the conditional measures over wide classes of priors, in normal and binomial situations, lower bounds, which are much larger than the P-value; this leads to the recommendation of several alternatives to P-values. Results are also given concerning the validity of approximating an interval null by a point null. The overall discussion features critical examination of issues such as the probability of objective testing and the possibility of testing from confidence sets.
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“The posterior probability of 'no effect' can be viewed as an approximation to the posterior probability of the effect being 'small,' namely, P lparenOSCASB vertSHT β vertSHT < ε rparenOSCASB , provided that ε is at most about onehalf of a standard error (Berger and Delampady, 1987).”
From Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors (1999) · cites this paper as Berger and Delampady, 1987
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“In fact, p -values arguably overstate the evidence for an effect even when there is no model uncertainty (Edwards, Lindman and Savage, 1963; Berger and Delampady, 1987; Berger and Sellke, 1987).”
From Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors (1999) · cites this paper as Berger and Delampady, 1987
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Cites
Statistical Decision Theory and Bayesian Analysis
Berger, J. O. (1985) · Springer Series in Statistics · doi:10.1007/978-1-4757-4286-2 · Cited by 7,722
Self-citationApplied Statistical Decision Theory
Lindley, D. V., Raiffa, H., & Schlaifer, R. (1962) · Econometrica · doi:10.2307/1909900 · Cited by 2,183
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Sargan, J. D., & Zellner, A. (1974) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2344559 · Cited by 1,938
Bayesian statistical inference for psychological research.
Edwards, W., Lindman, H., & Savage, L. J. (1963) · Psychological Review · doi:10.1037/h0044139 · Cited by 1,734
Specification Searches: Ad Hoc Inference with Non-Experimental Data.
Richard, J.-F., & Leamer, E. E. (1981) · Economica · doi:10.2307/2553491 · Cited by 1,127
Lindley, D. V. (1957) · Biometrika · doi:10.1093/biomet/44.1-2.187 · Cited by 994
Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence
Berger, J. O., & Sellke, T. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478397 · Cited by 985
Self-citationProbability and the Weighing of Evidence.
M., P. A., & Good, I. J. (1950) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2981046 · Cited by 753
Berger, J. O., & Wolpert, R. L. (1988) · doi:10.1214/lnms/1215466210 · Cited by 616
Self-citationThe Estimation of Probabilities: An Essay on Modern Bayesian Methods
Sparks, J. N., & Good, I. J. (1967) · American Educational Research Journal · doi:10.2307/1162122 · Cited by 533
Research works printed but not linked: 8
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- DEMPSTER, A. P. (1973). The direct use of likelihood for significance testing. In Proc. of the Conference on Foundational Questions in Statistical Inference (O. Barndorff-Nielsen et al., eds.) 335–352. Dept. Theoretical Statistics, Univ. Aarhus.
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- DIcKEY, J. M. (1980). Approximate coherence for regression model inference— with a new analysis of Fisher's Broadback Wheatfield example. In Bayesian Analysis in Econometrics and Statistics: Essays in Honor of Harold Jeffreys (A. Zellner, ed.) 333-354. North-Holland, Amsterdam.
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Cited by
Sorted by citations
Kass, R. E., & Raftery, A. E. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476572 · Cited by 12,558
Bayesian model selection in social research
Raftery, A. E. (1995) · Sociological Methodology · doi:10.2307/271063 · Cited by 6,823
The ASA Statement on p -Values: Context, Process, and Purpose
Wasserstein, R. L., & Lazar, N. A. (2016) · The American Statistician · doi:10.1080/00031305.2016.1154108 · Cited by 6,306
Hoeting, J. A., Madigan, D., Raftery, A. E., & Volinsky, C. T. (1999) · Statistical Science · doi:10.1214/ss/1009212519 · Cited by 4,118
A practical solution to the pervasive problems ofp values
Wagenmakers, E.-J. (2007) · Psychonomic Bulletin & Review · doi:10.3758/bf03194105 · Cited by 2,490
Metadata
- Authors
- Berger, J. O., & Delampady, M.
- Venue
- Statistical Science
- Publisher
- Institute of Mathematical Statistics
- Published
- 1987-08-01
- Volume
- 2
- Issue
- 3
- Pages
- 317-335
- ISSN
- 0883-4237 (ISSN-L)
- 2168-8745
- OpenAlex
- W2128585330
- Cited by
- 664
- References
- 35
- Citations by year
- 2025: 6 · 2024: 11 · 2023: 14 · 2022: 20 · 2021: 29 · 2020: 24 · 2019: 29 · 2018: 26 · 2017: 22 · 2016: 32 · 2015: 23 · 2014: 21 · 2013: 23 · 2012: 22
- FWCI
- 10.67
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Statistical Science (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Keywords
- point null hypothesis, p-values, Bayes factor, posterior probability, normal distribution, binomial distribution, objective testing, confidence regions
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