Asymptotically Efficient Rank Invariant Test Procedures

作者: Richard Peto , Julian Peto

DOI: 10.2307/2344317

关键词: Test proceduresMathematicsDiscrete mathematicsWilcoxon signed-rank testRelative deathInvariant (mathematics)Censoring (statistics)Combinatorics

摘要: … test based on sums ofthem the logrank test. The small-sample efficiency of this test and the physical meaning of the logrank scores are studied in detail in Sections 7 and 10. …

参考文章(12)
Frank Wilcoxon, Individual Comparisons by Ranking Methods Springer Series in Statistics. ,vol. 1, pp. 196- 202 ,(1992) , 10.1007/978-1-4612-4380-9_16
E. L. Kaplan, Paul Meier, Nonparametric Estimation from Incomplete Observations Springer Series in Statistics. ,vol. 53, pp. 319- 337 ,(1992) , 10.1007/978-1-4612-4380-9_25
N. L. JOHNSON, ERIC NIXON, D. E. AMOS, E. S. PEARSON, Table of percentage points of Pearson curves, for given √β1 and β2, expressed in standard measure Biometrika. ,vol. 50, pp. 459- 498 ,(1963) , 10.1093/BIOMET/50.3-4.459
Nathan Mantel, Chi-Square Tests with One Degree of Freedom; Extensions of the Mantel-Haenszel Procedure Journal of the American Statistical Association. ,vol. 58, pp. 690- 700 ,(1963) , 10.1080/01621459.1963.10500879
M C Pike, F J C Roe, AN ACTUARIAL METHOD OF ANALYSIS OF AN EXPERIMENT IN TWO-STAGE CARCINOGENESIS. British Journal of Cancer. ,vol. 17, pp. 605- 610 ,(1963) , 10.1038/BJC.1963.80
F J C Roe, R Peto, Frieda Kearns, Diana Bishop, The mechanism of carcinogenesis by the neutral fraction of cigarette smoke condensate. British Journal of Cancer. ,vol. 24, pp. 788- 806 ,(1970) , 10.1038/BJC.1970.94
Bernard Altshuler, Theory for the measurement of competing risks in animal experiments Mathematical Biosciences. ,vol. 6, pp. 1- 11 ,(1970) , 10.1016/0025-5564(70)90052-0
Jaroslav Hájek, Pranab Kumar Sen, Zbyněk Šidák, Theory of rank tests ,(1967)
Mantel N, Evaluation of survival data and two new rank order statistics arising in its consideration. Cancer chemotherapy reports. ,vol. 50, pp. 163- 170 ,(1966)