Predictive survival model with time-dependent prognostic factors: development of computer-aided SAS Macro program

J Eval Clin Pract. 2005 Apr;11(2):181-93. doi: 10.1111/j.1365-2753.2005.00519.x.

Abstract

Aims and objectives: Computer program for the prediction of survival with respect to time-dependent proportional hazards regression model has been rarely addressed. We therefore developed a SAS Macro program for time-dependent Cox regression predictive model for empirical survival data associated with time-dependent covariates.

Method: Time-dependent proportional hazards regression model and partial likelihood in association with time-varying predictors were explicitly delineated. Baseline hazard using Andersen's method was incorporated into proportional hazards regression model to predict the dynamic change of cumulative survival in respect of time-varying predictors. Two SAS Macro programs for time-dependent predictive survival model and model validation using receiver operative characteristics were written with SAS IML language.

Results: The computer program was applied to data on clinical surveillance of small hepatocellular carcinoma (HCC) treated by percutaneous ethanol injection (PEI) or transcatheter arterial embolization (TAE) with time-varying predictors such as alpha-feto protein (AFP) and other biological markers.

Conclusion: The program is very useful for real-time prediction of cumulative survival on the basis of time-dependent covariates.

MeSH terms

  • Carcinoma, Hepatocellular / diagnosis
  • Carcinoma, Hepatocellular / drug therapy
  • Carcinoma, Hepatocellular / mortality
  • Diagnosis, Computer-Assisted*
  • Humans
  • Liver Neoplasms / diagnosis
  • Liver Neoplasms / drug therapy
  • Liver Neoplasms / mortality
  • Prognosis
  • Proportional Hazards Models*
  • ROC Curve
  • Survival Analysis*
  • Time Factors