Repeated confidence intervals for the median survival time

Christopher Jennison, Bruce W. Turnbull

Research output: Contribution to journalArticlepeer-review

Abstract

We describe methods for the construction of a confidence interval for median survival time based on right-censored data. These methods are extended to the construction of repeated confidence intervals for the median, based on accumulating data; here, the overall probability that all intervals contain the true median is guaranteed at a fixed level. The use of repeated confidence intervals for median survival time in post-marketing surveillance is discussed.

Original languageEnglish
Pages (from-to)619-625
Number of pages7
JournalBiometrika
Volume72
Issue number3
DOIs
Publication statusPublished - 1 Dec 1985

Bibliographical note

Funding Information:
The authors are grateful to Eric Slud for the martingale method of proof of the asymptotic results given in the Appendix. The authors' research was supported by a grant from the National Institutes of Health.

Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.

Funding

The authors are grateful to Eric Slud for the martingale method of proof of the asymptotic results given in the Appendix. The authors' research was supported by a grant from the National Institutes of Health.

Keywords

  • Censored data
  • Confidence interval
  • Group sequential test
  • Interim analysis
  • Kaplan Meier estimator
  • Median survival time
  • Phase IV clinical trial

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Agricultural and Biological Sciences (miscellaneous)
  • General Agricultural and Biological Sciences
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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