A k-sample median test for censored data

Journal of the American Statistical Association

Volumn 77, Issue 378, 1982, Pages 433-440

  Brookmeyer, Ron ^a   Crowley, John ^b,c  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

^c FRED HUTCHINSON CANCER RESEARCH CENTER   (United States)

Author keywords

Censored data; Median test; Survival analysis

Indexed keywords

EID: 0001180586     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1982.10477829     Document Type: Article

References (25)

1. ANSFIELD, F., KLOTZ, J., and THE CENTRAL ONCOLOGY GROUP (1977), “A Phase III Study Comparing the Clinical Utility of Four Dosage Regimens of 5-Fluorouracil,” Cancer, 39, 34–40.
2. BILLINGSLEY, P. (1968), Convergence of Probability Measures, New York: John Wiley.
3. BRESLOW, N.R. (1970), “A Generalized Kruskal-Wallis Test for Comparing K Samples Subject to Unequal Patterns of Censorship,” Biometrika, 57, 579–594.
4. BRESLOW, N.R., and CROWLEY, J. (1974), “A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship,” Annals of Statistics, 2, 437–453.
5. BROOKMEYER, R., and CROWLEY, J. (1982), “A Confidence Interval for the Median Survival Time,” Biometrics, to appear.
6. COX, D.R. (1972), “Regression Models and Life Tables,” Journal of the Royal Statistical Society, Ser. B, 26, 103–110.
7. CROWLEY, J., and THOMAS, D.R. (1975), “Large Sample Theory for the Log Rank Test,” Technical Report #415, Department of Statistics, University of Wisconsin.
8. EFRON, B. (1967), “The Two-Sample Problem with Censored Data,” Proceeding of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, 4, 831–854.
9. —— (1981), “Censored Data and the Bootstrap,” Journal of the American Statistical Association, 76, 312–319.
10. EMERSON, J. (1982), “Nonparametric Confidence Interval for Quantiles in the Presence of Partial Right Censoring,” Biometrics, to appear.
11. FLEMING, T.R., O’FALLON, J.R., O’BRIEN, P.C., and HARRINGTON, D.P. (1980), “Modified Kolmogorov-Smirnov Test Procedures with Application to Arbitrarily Right Censored Data,” Biometrics, 36, 607–625.
12. GEHAN, E.A. (1965), “A Generalized Wilcoxon Test for Comparing Arbitrarily Singly-Censored Samples,” Biometrika, 52, 203–223.
13. GILL, R.D. (1980), “Censoring and Stochastic Integrals,” Mathematical Centre Tracts 124, Mathematische Centre, Amsterdam.
14. GRAYBILL, F.A. (1969), Introduction to Matrices with Applications in Statistics, Belmont, Calif.: Wadsworth Publishing.
15. GREENWOOD, M. (1926), “The Natural Duration of Cancer,” Reports on Public Health and Medical Subjects, Her Majesty’s Stationery Office, 33, 1–26.
16. HÁJEK, J., and SIDÁK, Z. (1967), Theory of Rank Tests, New York: Academic Press.
17. KAPLAN, E.L., and MEIER, P. (1958), “Nonparametric Estimation from Incomplete Observations,” Journal of the American Statistical Association, 53, 457–481.
18. MANTEL, N. (1966), “Evaluation of Survival Data and Two New Rank Order Statistics Arising in its Consideration,” Cancer Chemotherapy Reports 50, 163–170.
19. PETERSON, A.V., JR. (1977), “Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions,” Journal of the American Statistical Association, 72, 854–858.
20. PETO, R., and PETO, J. (1972), “Asymptotically Efficient Rank Invariant Test Procedures,” Journal of the Royal Statistical Society, Ser. A, 135, 185–206.
21. PRENTICE, R.L. (1978), “Linear Rank Tests with Right Censored Data,” Biometrika, 65, 167–179.
22. PYKE, R., and SHORACK, G. (1968), “Weak Convergence of a Two-Sample Empirical Process and a New Approach to Chernoff-Savage Theorems,” Annals of Mathematical Statistics, 39, 755–771.
23. REID, N. (1981), “Estimating the Median Survival Time,” Biometrika, 68, 601–608.
24. TARONE, R.E., and WARE, J. (1977), “On Distribution-Free Tests for Equality of Survival Distributions.” Biometrika, 64, 156–160.
25. WESTENBERG, J. (1948), “Significance Test for Median and Interquartile Range,” Koninklijke Nederlandsche Akademie Van Weten-schappen 51, 252–261.