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A class of rank test procedures for censored survival data
Abstract
A class of linear rank statistics is proposed for the k-sample problem with right-censored survival data. The class contains as special cases the log rank test (Mantel, 1966; Cox, 1972) and a test essentially equivalent to Peto & Peto's (1972) generalization of the Wilcoxon test. Martingale theory is used to establish asymptotic normality of test statistics under the null hypotheses considered, and to derive expressions for asymptotic relative efficiencies under contiguous sequences of alternative hypotheses. A class of distributions is presented which corresponds to the class of rank statistics in the sense that for each distribution there is a statistic with some optimal properties for detecting location alternatives from that distribution. Some Monte Carlo results are displayed which present small sample behaviour.
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Citations
Cites
Asymptotically Efficient Rank Invariant Test Procedures
Peto, R., & Peto, J. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344317 · Cited by 3,393
Cited by
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Gray, R. J. (1988) · The Annals of Statistics · doi:10.1214/aos/1176350951 · Cited by 4,960
Malinchoc, M., Kamath, P. S., Gordon, F. D., Peine, C. J., Rank, J., & ter Borg, P. C. J. (2000) · Hepatology · doi:10.1053/he.2000.5852 · Cited by 2,893
The Hippo transducer TAZ confers cancer stem cell-related traits on breast cancer cells
Cordenonsi, M., Zanconato, F., Azzolin, L., Forcato, M., Rosato, A., Frasson, C., Inui, M., Montagner, M., Parenti, A. R., Poletti, A., et al. (2011) · Cell · doi:10.1016/j.cell.2011.09.048 · Cited by 1,381
Long-term outcome in patients undergoing surgical repair of tetralogy of Fallot
Murphy, J. G., Gersh, B. J., Mair, D. D., Fuster, V., McGoon, M. D., Ilstrup, D. M., McGoon, D. C., Kirklin, J. W., & Danielson, G. K. (1993) · New England Journal of Medicine · doi:10.1056/nejm199308263290901 · Cited by 998
Coombs, C. C., Zehir, A., Devlin, S. M., Kishtagari, A., Syed, A., Jonsson, P., Hyman, D. M., Solit, D. B., Robson, M. E., Baselga, J., et al. (2017) · Cell stem cell · doi:10.1016/j.stem.2017.07.010 · Cited by 866
Metadata
- Authors
- HARRINGTON, D. P., & FLEMING, T. R.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1982
- Volume
- 69
- Issue
- 3
- Pages
- 553-566
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2031330193
- Cited by
- 1,184
- References
- 1
- FWCI
- 11.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- HARRINGTON, D. P., & FLEMING, T. R. (1982). A class of rank test procedures for censored survival data. Biometrika. https://doi.org/10.1093/biomet/69.3.553
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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