Repeated confidence intervals for the median survival time

Christopher Jennison; Bruce W. Turnbull

doi:10.1093/biomet/72.3.619

Repeated confidence intervals for the median survival time

Christopher Jennison, Bruce W. Turnbull

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	619-625
Number of pages	7
Journal	Biometrika
Volume	72
Issue number	3
DOIs	https://doi.org/10.1093/biomet/72.3.619
Publication status	Published - 1 Dec 1985

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

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10.1093/biomet/72.3.619

Cite this

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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.",

keywords = "Censored data, Confidence interval, Group sequential test, Interim analysis, Kaplan Meier estimator, Median survival time, Phase IV clinical trial",

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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.",

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AB - 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.

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KW - Confidence interval

KW - Group sequential test

KW - Interim analysis

KW - Kaplan Meier estimator

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KW - Phase IV clinical trial

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Repeated confidence intervals for the median survival time

Abstract

Keywords

ASJC Scopus subject areas

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