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Introduction to Survival Analysis

  • David D. HanagalEmail author
Chapter
Part of the Industrial and Applied Mathematics book series (INAMA)

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

  1. 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
  2. Batchelor, J.R., Hackett, M.: HLA Matching in the treatment of burned patients with skin allographs. Lancet 2, 581–583 (1970)CrossRefGoogle Scholar
  3. Duffy, D.L., Martin, N.G., Mathews, J.D.: Appendectomy in Australian twins. Aust. J. Hum. Genet. 47(3), 590–592 (1990)Google Scholar
  4. 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
  5. Huster, W.J., Brookmeyer, R., Self, S.G.: Modelling paired survival data with covariates. Biometrics 45, 145–156 (1989)MathSciNetCrossRefGoogle Scholar
  6. Klein, J.P., Moeschberger, M.L.: Survival Analysis, 2nd edn. Springer, New York (2003)zbMATHGoogle Scholar
  7. 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
  8. McGilchrist, C.A., Aisbett, C.W.: Regression with frailty in survival analysis. Biometrics 47, 461–466 (1991)CrossRefGoogle Scholar
  9. 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
  10. Therneau, T.M., Grambsch, P.M.: Modeling Survival Data: Extending the Cox Model. Springer, New York (2000)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Symbiosis Statistical InstituteSymbiosis International UniversityPuneIndia

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