A class of rank test procedures for censored survival data

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ID: 296942
1982
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Abstract
SUMMARY A class of linear rank statistics is proposed for the k-sample problem with rightcensored 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.
Reference Key
openalex_W2031330193 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors David P. Harrington, Thomas R. Fleming
Journal jurnal biometrika dan kependudukan
Year 1982
DOI
10.1093/biomet/69.3.553
URL
https://doi.org/10.1093/biomet/69.3.553
Keywords Keywords not found

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