statistics review 12 survival analysis统计评估12生存分析.pdf
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Review
Statistics review 12: Survival analysis
1 1 2
Viv Bewick , Liz Cheek and Jonathan Ball
1Senior Lecturer, School of Computing, Mathematical and Information Sciences, University of Brighton, Brighton, UK
2Senior Registrar in ICU, Liverpool Hospital, Sydney, Australia
Correspondence: Viv Bewick, v.bewick@brighton.ac.uk
Published online: 6 September 2004 Critical Care 2004, 8:389-394 (DOI 10.1186/cc2955)
This article is online at /content/8/5/389
© 2004 BioMed Central Ltd
Abstract
This review introduces methods of analyzing data arising from studies where the response variable is
the length of time taken to reach a certain end-point, often death. The Kaplan–Meier methods, log
rank test and Cox’s proportional hazards model are described.
Keywords Cox’s proportional-hazards model, cumulative hazard function H(t), hazard ratio, Kaplan–Meier method,
log rank test, survival function S(t)
Introduction
The graph of S(t) against t is called the survival curve. The
Survival times are data that measure follow-up time from a Kaplan–Meier method can be used to estimate this curve
defined starting point to the occurrence of a given event, for from the observed survival times without the assumption of an
example the time from the beginning to the end of a remission underlying probability distribution. The method is based on
period or the time fro
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