Survival Analysis

Peter D. Sasieni
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Peter D. Sasieni: Mathematics & Statistics Cancer Research UK Clinical Centre at Barts, Cancer Research UK Department of Epidemiology

Chapter II.4 in Handbook of Epidemiology, 2005, pp 693-728 from Springer

Abstract: Abstract The term survival analysis originally referred to statistical study of the time to death of a group of individuals. From a mathematical perspective it is irrelevant whether one is studying time until death or time to any other event and so the term has come to be applied to methods for analysing “time to event data”. Although often not explicitly stated, we are always interested in the time between two events. For instance one might be studying the age of death (the time from birth until death), survival of cancer patients (the time fromdiagnosis until death), or the incubation time of a virus (time from infection until the development of symptomatic disease). Survival analysis is more complicated than the analysis of other measurements because one often has only partial information regarding the survival time for some individuals. The most common formof partial information arises when a study is stopped before all participants have died. At that point we might know that Mrs Patel survived for at least 3.7 years, but have no idea whether she will die a week later or 25 years later. The observation on Mrs Patel is said to be (right) censored at 3.7 years.

Keywords: Cervical Cancer; Primary Biliary Cirrhosis; Hazard Function; Survival Function; Standardise Mortality Ratio (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/978-3-540-26577-1_18

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