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Adjusted Kaplan–Meier estimator and log‐rank test with inverse probability of treatment weighting for survival data

Xie, Jun, Liu, Chaofeng·2005·Statistics in Medicine

Abstract

Estimation and group comparison of survival curves are two very common issues in survival analysis. In practice, the Kaplan–Meier estimates of survival functions may be biased due to unbalanced distribution of confounders. Here we develop an adjusted Kaplan–Meier estimator (AKME) to reduce confounding effects using inverse probability of treatment weighting (IPTW). Each observation is weighted by its inverse probability of being in a certain group. The AKME is shown to be a consistent estimate of the survival function, and the variance of the AKME is derived. A weighted log‐rank test is proposed for comparing group differences of survival functions. Simulation studies are used to illustrate the performance of AKME and the weighted log‐rank test. The method proposed here outperforms the Kaplan–Meier estimate, and it does better than or as well as other estimators based on stratification. The AKME and the weighted log‐rank test are applied to two real examples: one is the study of times to reinfection of sexually transmitted diseases, and the other is the primary biliary cirrhosis (PBC) study. Copyright © 2005 John Wiley & Sons, Ltd.

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Metadata

Authors
Xie, J., & Liu, C.
Venue
Statistics in Medicine
Publisher
Wiley
Published
2005-09-27
Volume
24
Issue
20
Pages
3089-3110
ISSN
  • 0277-6715 (ISSN-L)
  • 1097-0258
OpenAlex
W2148195102
Cited by
510
References
4
FWCI
1.25
Type
journal article
Language
en
Open access
closed

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