Introduction to Survival Analysis
Abstract
Survival data is a term used for describing data that measure the time to a certain event. In survival analysis, the event may be death, occurrence of disease (or complication), time to an epileptic seizure, time it takes for a patient to respond to a therapy, or time from response until disease relapse (i.e., disease returns). In demography, the event can be entering marriage. The event is a transition from one state to another. Death is a transition from state alive to the state dead. Occurrence of disease is a transition from the state of being healthy to a state of presence of disease. Marriage is the transition of being unmarried to being married. For an epileptic seizure, an event is a transition from the seizure-free state to the state of active seizure.
References
- Avalos, B.R., Klein, J.L., Kapoor, N., Tutschka, P.J., Klein, J.P., Copelan, E.A.: Preparation of bone marrow transplantation in Hodgkin’s and non-Hodgkin’s lymphoma using Bu/Cy. Bone Marrow Transplant. 13, 133–138 (1993)Google Scholar
- Batchelor, J.R., Hackett, M.: HLA Matching in the treatment of burned patients with skin allographs. Lancet 2, 581–583 (1970)CrossRefGoogle Scholar
- Duffy, D.L., Martin, N.G., Mathews, J.D.: Appendectomy in Australian twins. Aust. J. Hum. Genet. 47(3), 590–592 (1990)Google Scholar
- Freireich, E.J., Gehan, E., Frei, E., Schroeder, L.R., Wolman, I.J., Anbari, R., Burgert, E.O., Mills, S.D., Pinkel, D., Selawry, O.S., Moon, J.H., Gendel, B.R., Spurr, C.L., Storrs, R., Haurani, F., Hoogstraten, B., Lee, S.: The effect of 6-Mercaptopurine on the duration of steroid-induced remissions in acute Leukemia: a model for evaluation of other potential useful therapy. Blood 21, 699–716 (1963)CrossRefGoogle Scholar
- Huster, W.J., Brookmeyer, R., Self, S.G.: Modelling paired survival data with covariates. Biometrics 45, 145–156 (1989)MathSciNetCrossRefGoogle Scholar
- Klein, J.P., Moeschberger, M.L.: Survival Analysis, 2nd edn. Springer, New York (2003)zbMATHGoogle Scholar
- Krall, J.M., Uthoff, V.A., Harley, J.B.: A step-up procedure for selecting variables associated with survival. Biometrics 31, 49–57 (1975)CrossRefGoogle Scholar
- McGilchrist, C.A., Aisbett, C.W.: Regression with frailty in survival analysis. Biometrics 47, 461–466 (1991)CrossRefGoogle Scholar
- Nahman, N.S., Middendorf, D.F., Bay, W.H., McElligot, R., Powell, S., Anderson, J.: Modification of percutaneous approach to peritoneal dialysis catheter placement under peritoneoscopic visualization: clinical results in 78 patients. J. Am. Soc. Nephrol. 3, 103–107 (1992)Google Scholar
- Therneau, T.M., Grambsch, P.M.: Modeling Survival Data: Extending the Cox Model. Springer, New York (2000)CrossRefGoogle Scholar