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A class of rank test procedures for censored survival data

HARRINGTON, DAVID P., FLEMING, THOMAS R.·1982·Biometrika

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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Metadata

Authors
HARRINGTON, D. P., & FLEMING, T. R.
Venue
Biometrika
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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CoChat. (2026). Citation check: A class of rank test procedures for censored survival data. https://app.cochat.ai/papers/10.1093/biomet/69.3.553
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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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