The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
P Values for Composite Null Models
Abstract
The problem of investigating compatibility of an assumed model with the data is investigated in the situation when the assumed model has unknown parameters. The most frequently used measures of compatibility are p values, based on statistics T for which large values are deemed to indicate incompatibility of the data and the model. When the null model has unknown parameters, p values are not uniquely defined. The proposals for computing a p value in such a situation include the plug-in and similar p values on the frequentist side, and the predictive and posterior predictive p values on the Bayesian side. We propose two alternatives, the conditional predictive p value and the partial posterior predictive p value, and indicate their advantages from both Bayesian and frequentist perspectives.
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Cites
Gelman, A., Carlin, J. B., Stern, H. S., & Rubin, D. B. (2003) · doi:10.1201/9780429258480 · Cited by 27,276
Berger, J. O., & Delampady, M. (1987) · Statistical Science · doi:10.1214/ss/1177013238 · Cited by 664
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
Gelman, A. (2006) · Bayesian Analysis · doi:10.1214/06-ba117a · Cited by 4,050
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-citationPhilosophy and the practice of Bayesian statistics
Gelman, A., & Shalizi, C. R. (2013) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/j.2044-8317.2011.02037.x · Cited by 825
Combining Field Data and Computer Simulations for Calibration and Prediction
Higdon, D., Kennedy, M., Cavendish, J. C., Cafeo, J. A., & Ryne, R. D. (2004) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827503426693 · Cited by 623
The interplay of Bayesian and frequentist analysis
Bayarri, M. J., & Berger, J. O. (2004) · Statistical Science · doi:10.1214/088342304000000116 · Cited by 525
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Metadata
- Authors
- Bayarri, M. J., & Berger, J. O.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 2000-12
- Volume
- 95
- Issue
- 452
- Pages
- 1127-1142
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2100320591
- Cited by
- 335
- References
- 3
- FWCI
- 11.26
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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