The DOI matches its Crossref record; 4 of the 5 references it cites were found in a registry or an index.
Partial residuals for the proportional hazards regression model
Abstract
Residuals are defined for the proportional hazards regression model introduced by Cox (1972). These residuals can be plotted against time to test the proportional hazards assumption. Histograms of these residuals can be used to examine fit and detect outlying covariate values.
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In the citing paper
“The reliability of THIN for research purposes has been validated against experimental and other observational evidence.41,42”
From Mortality gap for people with bipolar disorder and schizophrenia: UK-based cohort study 2000–2014 (2017) · cites this paper as [41]
In the citing paper
“The proportional hazards assumption was tested by examination of Schoenfeld residuals [17] in comparable Cox models and through Cox -Snell semi-log plots.”
Citations
Cites
The Statistical Analysis of Failure Time Data.
Aitkin, M. A., Kalbfleisch, J. D., & Prentice, R. L. (1981) · Biometrics · doi:10.2307/2530581 · Cited by 9,875
A General Definition of Residuals
Cox, D. R., & Snell, E. J. (1968) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1968.tb00724.x · Cited by 1,324
Chi-squared goodness-of-fit tests for the proportional hazards regression model
Schoenfeld, D. (1980) · Biometrika · doi:10.1093/biomet/67.1.145 · Cited by 493
Self-citationProportional Hazard Regression Models and the Analysis of Censored Survival Data
Kay, R. (1977) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.2307/2346962 · Cited by 279
Cited by
Sorted by citations
Items 1,001–1,003 of 1,003
Murray, R. P., Barnes, G. E., & Ekuma, O. (2005) · Addictive Behaviors · doi:10.1016/j.addbeh.2004.06.017 · Cited by 11
Harrell, F., Jr. (1996) · doi:10.1002/(sici)1097-0258(19960229)15:4
Detecting and describing heterogeneity in meta-analysis
Hardy, R. J., & Thompson, S. G. (1998) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19980430)17:8
Metadata
- Authors
- SCHOENFELD, D.
- Affiliations
- Harvard University (US)
- Corresponding author
- SCHOENFELD, DAVID
- ORCID
- SCHOENFELD, DAVID
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1982
- Volume
- 69
- Issue
- 1
- Pages
- 239-241
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W1977247044
- Cited by
- 3,111
- References
- 5
- Citations by year
- 2026: 217 · 2025: 164 · 2024: 222 · 2023: 179 · 2022: 205 · 2021: 203 · 2020: 162 · 2019: 156 · 2018: 130 · 2017: 133 · 2016: 111 · 2015: 121 · 2014: 117 · 2013: 126 · 2012: 88
- FWCI
- 4.01
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- proportional hazards model, Cox proportional hazards model, residual plots, proportional hazards assumption, model fit assessment
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