| Accurate confidence limits for quantiles under random censoring. | |
| | |
MedLine Citation:
|
PMID: 9423256 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
|
In survival analysis, estimates of median survival times in homogeneous samples are often based on the Kaplan-Meier estimator of the survivor function. Confidence intervals for quantiles, such as median survival, are typically constructed via large sample theory or the bootstrap. The former has suspect accuracy for small sample sizes under moderate censoring and the latter is computationally intensive. In this paper, improvements on so-called test-based intervals and reflected intervals (cf., Slud, Byar, and Green, 1984, Biometrics 40, 587-600) are sought. Using the Edgeworth expansion for the distribution of the studentized Nelson-Aalen estimator derived in Strawderman and Wells (1997, Journal of the American Statistical Association 92), we propose a method for producing more accurate confidence intervals for quantiles with randomly censored data. The intervals are very simple to compute, and numerical results using simulated data show that our new test-based interval outperforms commonly used methods for computing confidence intervals for small sample sizes and/or heavy censoring, especially with regard to maintaining specified coverage. |
| | |
Authors:
|
R L Strawderman; M I Parzen; M T Wells |
Related Documents
:
|
11783546 - A robust method for the analysis of experiments with ordered treatment levels. 7713836 - Is walking a random walk? evidence for long-range correlations in stride interval of hu... 11890316 - Interval estimation for a difference between intraclass kappa statistics. 19955286 - Quantitative estimation of calcium dynamics from ratiometric measurements: a direct, no... 12632406 - Monitoring of a sequencing batch reactor using adaptive multiblock principal component ... 18938046 - Multi-institutional external validation of seminal vesicle invasion nomograms: head-to-... |
Publication Detail:
|
Type: Journal Article; Research Support, U.S. Gov't, Non-P.H.S.; Research Support, U.S. Gov't, P.H.S. |
Journal Detail:
|
Title: Biometrics Volume: 53 ISSN: 0006-341X ISO Abbreviation: Biometrics Publication Date: 1997 Dec |
Date Detail:
|
Created Date: 1998-02-04 Completed Date: 1998-02-04 Revised Date: 2007-11-14 |
Medline Journal Info:
|
Nlm Unique ID: 0370625 Medline TA: Biometrics Country: UNITED STATES |
Other Details:
|
Languages: eng Pagination: 1399-415 Citation Subset: IM |
Affiliation:
|
Department of Biostatistics, University of Michigan, Ann Arbor 48109-2029, USA. |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
Biometry
/
methods Confidence Intervals* Humans Likelihood Functions Models, Statistical Reproducibility of Results Survival Analysis* Survival Rate* Treatment Failure |
| Grant Support | |
ID/Acronym/Agency:
|
R01-CA61120/CA/NCI NIH HHS; R01-DK49529/DK/NIDDK NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: A method for assessing age-time disease incidence using serial prevalence data.
Next Document: Establishing equivalence of two treatments and sample size requirements in matched-pairs design.