Survival Analysis & Cox Regression

Cox Proportional Hazard Regression

  • Cox regression or the proportional hazard survival regression allows assessing whether survival is influenced by one or more covariate variables. The covariates (also called predictors) can be categorical (such as the kind of treatment a patient received) or continuous (such as the patient's age, weight, or the dosage of a drug).
  • With situation where there are more than two covariates to be considered, the cox regression is a widely adopted model for assessing the effect of covariates on the survival curve.
The Analysis Output

Cox Regression of Time to Recurrence of Gallstones on the Presence of Three Covariates (Stones Diameter, Months to Dissolution, and Gallstone Types)*

Cox Proportional Hazard Regression

* Source of data: Bland, M. (2000). An Introduction to Medical Statistics, 3rd Edition, Oxford University press.

Cox Regression Chart

  • This is a graphical representation of survival curve from the Cox regression model.

The Survival Curve Generated From Cox Regression Model of Time to Recurrence of Gallstones on the Presence of Two Covariates*

Cox Regression Chart

* Source of data: Bland, M. (2000). An Introduction to Medical Statistics, 3rd Edition, Oxford University press.