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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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“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]
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“The proportional hazards assumption was tested by examination of Schoenfeld residuals [17] in comparable Cox models and through Cox -Snell semi-log plots.”
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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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