Small-Sample Properties of Censored-Data Rank Tests

Small-sample properties of censored-data.rank tests, such as Mantel's logrank test, the Breslow test or the general dass of tests proposed by Peto and Peto (1972, Journal oj the Royal Statistical Society, Series A 135, 185-206), are examined. It is found that the latter dass of tests, in particular, can be substantially nonconservative when applied to small sam pies. The most serious inaccuracies occur in unbalanced trials, when higher event rates are inferred in the smaller sampie.

[1]  J. Peto,et al.  Asymptotically Efficient Rank Invariant Test Procedures , 1972 .

[2]  W. Haenszel,et al.  Statistical aspects of the analysis of data from retrospective studies of disease. , 1959, Journal of the National Cancer Institute.

[3]  R. Prentice Linear rank tests with right censored data , 1978 .

[4]  Elisa T. Lee,et al.  A Monte Carlo study of the power of some two-sample tests , 1975 .

[5]  N. Mantel,et al.  Use of logrank scores in the analysis of litter-matched data on time to tumor appearance. , 1979, Cancer Research.

[6]  E. Gehan A GENERALIZED WILCOXON TEST FOR COMPARING ARBITRARILY SINGLY-CENSORED SAMPLES. , 1965, Biometrika.

[7]  David R. Cox,et al.  Regression models and life tables (with discussion , 1972 .

[8]  N. Mantel Evaluation of survival data and two new rank order statistics arising in its consideration. , 1966, Cancer chemotherapy reports.

[9]  Karl E. Peace,et al.  Size and Power Assessments of Tests of Hypotheses on Survival Parameters , 1978 .

[10]  D. Byar,et al.  Applications of the Mantel-Haenszel statistic to the comparison of survival distributions. , 1977, Biometrics.

[11]  R. Latta,et al.  A Monte Carlo Study of Some Two-Sample Rank Tests with Censored Data , 1981 .

[12]  R. Prentice,et al.  A qualitative discrepancy between censored data rank tests. , 1979, Biometrics.

[13]  N. Breslow A generalized Kruskal-Wallis test for comparing K samples subject to unequal patterns of censorship , 1970 .

[14]  Mitchell H. Gail,et al.  Comparison of four tests for equality of survival curves in the presence of stratification and censoring , 1979 .