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On the interpretation of the hazard ratio in Cox regression

(2020) BIOMETRICAL JOURNAL. 62(3). p.742-750
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Abstract
We argue that the term "relative risk" should not be used as a synonym for "hazard ratio" and encourage to use the probabilistic index as an alternative effect measure for Cox regression. The probabilistic index is the probability that the event time of an exposed or treated subject exceeds the event time of an unexposed or untreated subject conditional on the other covariates. It arises as a well known and simple transformation of the hazard ratio and nicely reveals the interpretational limitations. We demonstrate how the probabilistic index can be obtained using the R-package Publish.
Keywords
Cox regression model, hazard ratio, probabilistic index, relative risk, survival analysis, PROBABILISTIC INDEX, SURVIVAL, MODELS, RISKS

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Citation

Please use this url to cite or link to this publication:

MLA
De Neve, Jan, and Thomas A. Gerds. “On the Interpretation of the Hazard Ratio in Cox Regression.” BIOMETRICAL JOURNAL, vol. 62, no. 3, 2020, pp. 742–50, doi:10.1002/bimj.201800255.
APA
De Neve, J., & Gerds, T. A. (2020). On the interpretation of the hazard ratio in Cox regression. BIOMETRICAL JOURNAL, 62(3), 742–750. https://doi.org/10.1002/bimj.201800255
Chicago author-date
De Neve, Jan, and Thomas A. Gerds. 2020. “On the Interpretation of the Hazard Ratio in Cox Regression.” BIOMETRICAL JOURNAL 62 (3): 742–50. https://doi.org/10.1002/bimj.201800255.
Chicago author-date (all authors)
De Neve, Jan, and Thomas A. Gerds. 2020. “On the Interpretation of the Hazard Ratio in Cox Regression.” BIOMETRICAL JOURNAL 62 (3): 742–750. doi:10.1002/bimj.201800255.
Vancouver
1.
De Neve J, Gerds TA. On the interpretation of the hazard ratio in Cox regression. BIOMETRICAL JOURNAL. 2020;62(3):742–50.
IEEE
[1]
J. De Neve and T. A. Gerds, “On the interpretation of the hazard ratio in Cox regression,” BIOMETRICAL JOURNAL, vol. 62, no. 3, pp. 742–750, 2020.
@article{8584657,
  abstract     = {We argue that the term "relative risk" should not be used as a synonym for "hazard ratio" and encourage to use the probabilistic index as an alternative effect measure for Cox regression. The probabilistic index is the probability that the event time of an exposed or treated subject exceeds the event time of an unexposed or untreated subject conditional on the other covariates. It arises as a well known and simple transformation of the hazard ratio and nicely reveals the interpretational limitations. We demonstrate how the probabilistic index can be obtained using the R-package Publish.},
  author       = {De Neve, Jan and Gerds, Thomas A.},
  issn         = {0323-3847},
  journal      = {BIOMETRICAL JOURNAL},
  keywords     = {Cox regression model,hazard ratio,probabilistic index,relative risk,survival analysis,PROBABILISTIC INDEX,SURVIVAL,MODELS,RISKS},
  language     = {eng},
  number       = {3},
  pages        = {742--750},
  title        = {On the interpretation of the hazard ratio in Cox regression},
  url          = {http://dx.doi.org/10.1002/bimj.201800255},
  volume       = {62},
  year         = {2020},
}

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