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Biometrika 1978 65(1):167-179; doi:10.1093/biomet/65.1.167
© 1978 by Biometrika Trust
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Linear rank tests with right censored data

R. L. PRENTICE

Fred Hutchinson Cancer Research Center Seattle, Washington and Department of Biostatistics, University of Washington

Linear rank statistics are developed for tests on regression coefficients with censored data. These statistics arise as score statistics based on the marginal probability of a generalized rank vector. The observed Fisher information provides a variance estimator generally, while in certain special cases a permutation approach to variance estimation is also possible. The Wilcoxon test is generalized to regression tests with censored data. The log rank test (Cox, 1972; Peto & Peto, 1972) is also produced as a special case.

Key Words: Approximate score • Censored data • Linear regression • Log rank test • Rank test • Wilcoxon test


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