The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
R-squared for Bayesian Regression Models
Open accessAbstract
The usual definition of R2 (variance of the predicted values divided by the variance of the data) has a problem for Bayesian fits, as the numerator can be larger than the denominator. We propose an alternative definition similar to one that has appeared in the survival analysis literature: the variance of the predicted values divided by the variance of predicted values plus the expected variance of the errors.
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Cites
R: A Language and Environment for Statistical Computing
R Core Team (2025) · doi:10.32614/r.manuals · Cited by 352,181
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Self-citationUnderstanding predictive information criteria for Bayesian models
Gelman, A., Hwang, J., & Vehtari, A. (2014) · Statistics and Computing · doi:10.1007/s11222-013-9416-2 · Cited by 2,104
Self-citationTjur, T. (2009) · The American Statistician · doi:10.1198/tast.2009.08210 · Cited by 911
Measuring explained variation in linear mixed effects models
Xu, R. (2003) · Statistics in Medicine · doi:10.1002/sim.1572 · Cited by 541
Bayesian Measures of Explained Variance and Pooling in Multilevel (Hierarchical) Models
Gelman, A., & Pardoe, I. (2006) · Technometrics · doi:10.1198/004017005000000517 · Cited by 342
Self-citationMeasures of Dependence for Censored Survival Data
Kent, J. T., & O’Quigley, J. (1988) · Biometrika · doi:10.1093/biomet/75.3.525 · Cited by 158
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Properties ofR2 statistics for logistic regression
Hu, B., Palta, M., & Shao, J. (2005) · Statistics in Medicine · doi:10.1002/sim.2300 · Cited by 61
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The world’s growing municipal solid waste: trends and impacts
Chen, D. M.-C., Bodirsky, B. L., Krueger, T., Mishra, A., & Popp, A. (2020) · Environmental Research Letters · doi:10.1088/1748-9326/ab8659 · Cited by 524
rstanarm: Bayesian Applied Regression Modeling via Stan
Gabry, J., & Goodrich, B. (2016) · CRAN: Contributed Packages · doi:10.32614/cran.package.rstanarm · Cited by 503
Self-citationOchnik, D., Rogowska, A. M., Kuśnierz, C., Jakubiak, M., Schütz, A., Held, M. J., Arzenšek, A., Benatov, J., Berger, R., Korchagina, E. V., et al. (2021) · Scientific Reports · doi:10.1038/s41598-021-97697-3 · Cited by 220
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Metadata
- Authors
- Gelman, A., Goodrich, B., Gabry, J., & Vehtari, A.
- Venue
- The American Statistician
- Publisher
- Informa UK Limited
- Published
- 2019-05-13
- Volume
- 73
- Issue
- 3
- Pages
- 307-309
- ISSN
- 0003-1305 (ISSN-L)
- 1537-2731
- OpenAlex
- W2904925972
- Cited by
- 912
- References
- 9
- FWCI
- 53.61
- Type
- journal article
- Language
- en
- Open access
- green
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