Yaşam çözümlemesinde zaman bağlı açıklayıcı değişkenli Cox regresyon modeli

Tıpta, salgın hastalıklara ve kronik hastalıklara ilişkin verilerin incelenmesinde ve bu hastalıkları etkileyen faktörlerin saptanmasında yaşam çözümlemesi Cox regresyon modeli oldukça önemlidir. Ancak, zamanla değişen açıklayıcı değişkenler olduğunda Cox regresyon modeli yerine zamana bağlı açıklayıcı değişkenli Cox regresyon modeli uygun olmaktadır. Bu çalışmada, sabit ve zamana bağlı açıklayıcı değişkenler durumunda Cox regresyon modelleri incelenmiştir. 116 akciğer kanseri hastalarına ait veriler kullanılarak bir uygulama yapılmış ve sonuçlar tartışılmıştır.

Cox regression model with time dependent covariate in survival anaysis

In medical science, in investigating the survival data of epidemic diseases and chronic diseases and determining the factors which affects these diseases, Cox regression model for survival analysis has gained widespread attention. However, using Cox regression model with time-dependent covariates is more suitable than using Cox regression model with fixed covariates in the case of time-dependent covariates. In this study. Cox regression model with fixed covariates and Cox regression model with time-dependent covariates are described. The data of 116 lung cancer patients is used to illustrate these models and the results are discussed.

___

  • 1. Cox DR, Oakes D. Analysis of Survival Data, New York: Chapman and Hall; 1984.
  • 2. Kaplan EL, Meier P. Nonparametric estimation from incomplete observations, Journal of the American Statistical Association 1958; 53:457-481.
  • 3. Mantel N. Evaluation of survival data and two new rank order statistics arising in its consideration, Cancer Chemotherapy Report 1966; 50: 163-170.
  • 4. Cox DR. Regression models and life-tables, Journal of the Royal Statistical Society, Series B, 1972; 34: 187-220.
  • 5. Aalen OO. Statistical inference for a family of counting processes, PH.D. dissertation, University of California, Berkeley, 1975.
  • 6. Fleming TR, Lin DY. Survival analysis in clinical trials: past developments and future directions, Biometrics 2000; 56(4): 971-983.
  • 7. Collett D. Modelling Survival Data in Medical Research, London: Chapman&Hall; 1994.
  • 8. Kalbfleisch JD, Prentice RL. The Statistical Analysis of Failure Time Data, New York : Wiley; 1980.
  • 9. Pettitt AN, Daud IB. Investigating time dependence in Cox's proportional hazards model, Applied Statistics 1990; 39: 313-329.
  • 10. Kleinbaum DG. Survival Analysis: A Self-Learning Text, New York: Springer; 1996.
  • 11. Therneau TM, Grambsch PM. Modelling Survival Data: Extending the Cox Model, New York: Springer; 2000.
  • 12. Fisher LD, Lin DY Time-dependent covariates in the Cox proportional hazards regression model, Annual Review of Public Health 1999; 20: 145-157.