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Survival analysis and regression models

  • Review Article
  • Published:
Journal of Nuclear Cardiology Aims and scope

Summary

Time-to-event outcomes are common in medical research as they offer more information than simply whether or not an event occurred. To handle these outcomes, as well as censored observations where the event was not observed during follow-up, survival analysis methods should be used. Kaplan-Meier estimation can be used to create graphs of the observed survival curves, while the log-rank test can be used to compare curves from different groups. If it is desired to test continuous predictors or to test multiple covariates at once, survival regression models such as the Cox model or the accelerated failure time model (AFT) should be used. The choice of model should depend on whether or not the assumption of the model (proportional hazards for the Cox model, a parametric distribution of the event times for the AFT model) is met. The goal of this paper is to review basic concepts of survival analysis. Discussions relating the Cox model and the AFT model will be provided. The use and interpretation of the survival methods model are illustrated using an artificially simulated dataset.

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Acknowledgments

We would like to thank Dr Edsel Pena and Dr Fadi Hage for their valuable comments and suggestions.

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Correspondence to Inmaculada Aban PhD.

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Funding

Funding provided by NHLBI T32HL079888.

Appendix

Appendix

See Tables 3, 4, 5, 6.

Table 3 Glossary of statistical quantities used in this paper
Table 4 Glossary of statistical abbreviations used in this paper
Table 5 List of commonly used survival distributions
Table 6 SAS Program to simulate and analyze data

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George, B., Seals, S. & Aban, I. Survival analysis and regression models. J. Nucl. Cardiol. 21, 686–694 (2014). https://doi.org/10.1007/s12350-014-9908-2

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  • DOI: https://doi.org/10.1007/s12350-014-9908-2

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