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Published in: BMC Medical Research Methodology 1/2016

Open Access 01-12-2016 | Technical advance

Comparing survival curves based on medians

Authors: Zhongxue Chen, Guoyi Zhang

Published in: BMC Medical Research Methodology | Issue 1/2016

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Abstract

Background

Although some nonparametric methods have been proposed in the literature to test for the equality of median survival times for censored data in medical research, in general they have inflated type I error rates, which make their use limited in practice, especially when the sample sizes are small.

Methods

In this paper, we propose a new nonparametric test with a simple test statistic to compare median survival times.

Results

The results from our comprehensive simulation study show the new test controls type I error rate very well under all situations considered, even for small sample sizes. In addition, it has comparable detecting power compared to existing methods. Another advantage of the proposed test is its relatively simple formula that requires less computation.

Conclusions

We propose a new statistical method for comparing survival curves based on their medians. The new method can be easily implemented and applied to censored event time data.
Literature
1.
go back to reference Kaplan EL, Meier P. Nonparametric estimation from incomplete observations. J Am Stat Assoc. 1958;53(282):457–81.CrossRef Kaplan EL, Meier P. Nonparametric estimation from incomplete observations. J Am Stat Assoc. 1958;53(282):457–81.CrossRef
2.
go back to reference Lee ET, Wang J. Statistical methods for survival data analysis. WHoboken, New Jersey, USA: iley-Interscience; 2003. Lee ET, Wang J. Statistical methods for survival data analysis. WHoboken, New Jersey, USA: iley-Interscience; 2003.
3.
go back to reference Latta RB. A Monte Carlo study of some two-sample rank tests with censored data. J Am Stat Assoc. 1981;76(375):713–9.CrossRef Latta RB. A Monte Carlo study of some two-sample rank tests with censored data. J Am Stat Assoc. 1981;76(375):713–9.CrossRef
4.
go back to reference Efron B. Censored data and the bootstrap. J Am Stat Assoc. 1981;76(374):312–9.CrossRef Efron B. Censored data and the bootstrap. J Am Stat Assoc. 1981;76(374):312–9.CrossRef
7.
go back to reference Chen Z. Extension of Mood’s median test for survival data. Stat Probab Lett. 2014;95:77–84.CrossRef Chen Z. Extension of Mood’s median test for survival data. Stat Probab Lett. 2014;95:77–84.CrossRef
10.
go back to reference James IR. Tests for location with k samples and censored data. Biometrika. 1987;74(3):599–607.CrossRef James IR. Tests for location with k samples and censored data. Biometrika. 1987;74(3):599–607.CrossRef
11.
go back to reference Brookmeyer R, Crowley J. A k-sample median test for censored data. J Am Stat Assoc. 1982;77(378):433–40. Brookmeyer R, Crowley J. A k-sample median test for censored data. J Am Stat Assoc. 1982;77(378):433–40.
12.
go back to reference Reid N. Estimating the median survival time. Biometrika. 1981;68(3):601–8.CrossRef Reid N. Estimating the median survival time. Biometrika. 1981;68(3):601–8.CrossRef
13.
go back to reference Chen Z, Ng HKT, Nadarajah S. A note on Cochran test for homogeneity in one-way ANOVA and meta-analysis. Stat Pap. 2014;55(2):301–10.CrossRef Chen Z, Ng HKT, Nadarajah S. A note on Cochran test for homogeneity in one-way ANOVA and meta-analysis. Stat Pap. 2014;55(2):301–10.CrossRef
14.
go back to reference Greenwood M. A Report on the Natural Duration of Cancer. Reports on Public Health and Medical Subjects Ministry of Health. 1926(33). Greenwood M. A Report on the Natural Duration of Cancer. Reports on Public Health and Medical Subjects Ministry of Health. 1926(33).
15.
go back to reference Klein JP. Small sample moments of some estimators of the variance of the Kaplan-Meier and Nelson-Aalen estimators. Scand J Stat. 1991:333-40. Klein JP. Small sample moments of some estimators of the variance of the Kaplan-Meier and Nelson-Aalen estimators. Scand J Stat. 1991:333-40.
16.
go back to reference Hartung J, Argaç Da. Testing for homogeneity in combining of two-armed trials with normally distributed responses. Sankhyā: Indian J Stat Ser B. 2001:298-310. Hartung J, Argaç Da. Testing for homogeneity in combining of two-armed trials with normally distributed responses. Sankhyā: Indian J Stat Ser B. 2001:298-310.
Metadata
Title
Comparing survival curves based on medians
Authors
Zhongxue Chen
Guoyi Zhang
Publication date
01-12-2016
Publisher
BioMed Central
Published in
BMC Medical Research Methodology / Issue 1/2016
Electronic ISSN: 1471-2288
DOI
https://doi.org/10.1186/s12874-016-0133-3

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