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Journal of the American Statistical Association Volume 75, 1980 - Issue 371
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Theory and Method

Conditional Distribution-Free Tests for the Two-Sample Problem in the Presence of Right Censoring

Max Halperin Department of Statistics, George Washington University, Bethesda, MD, 20014, USA
,
James H. Ware Department of Biostatistics, Harvard University, Boston, MA, 02115, USA
&
Margaret Wu Mathematical and Applied Statistics Branch, National Heart, Lung, and Blood Institute, Bethesda, MD, 20205, USA
Pages 638-645 | Received 01 Jul 1977, Published online: 12 Mar 2012

References

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  • Chernoff , Herman and Savage , Richard I. 1958 . “Asymptotic Normality and Efficiency of Certain Nonparametric Test Statistics,” . Annals of Mathematical Statistics , 29 : 972 – 974 .
  • Efron , Bradley . “The Two Sample Problem With Censored Data,” . Proceedings of the Fifth Berkeley Symposium of Mathematical Statistics and Probability . Vol. 4 , pp. 831
  • Gehan , Edmund . 1965 . “A Generalized Wilcoxon Test for Comparing Arbitrarily Singly Censored Samples,” . Biometrika , 52 : 203 – 223 .
  • Hajek , Jaroslav and Sidak , Zbynek . 1967 . Theory of Rank Tests , New York : Academic Press .
  • Halperin , Max . 1960 . “Extension of the Wilcoxon-Mann-Whitney Test to Samples Censored at the Same Fixed Point,” . Journal of the American Statistical Association , 55 : 125 – 139 .
  • Hannan , James and Harkness , William . 1963 . “Normal Approximations to the Distribution of Two Independent Binomials, Conditional on Fixed Sum,” . Annals of Mathematical Statistics , 34 : 1593 – 1595 .
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  • Mantel , Nathan . 1966 . “Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Considerations,” . Cancer Chemotherapy Reports , 50 : 163 – 170 .
  • Nelson , Wayne B. 1969 . “Hazard Plotting for Incomplete Failure Data . Journal of Quality Technology , 1 : 27 – 52 .
  • Peto , Richard and Peto , Julian . 1972 . “Asymptotically Efficient Rank Invariant Test Procedures,” . Journal of the Royal Statistical Society , 135 : 185 – 206 . Ser. A
  • Savage , Richard I. 1956 . “Contributions to the Theory of Rank Order Statistics: The Two Sample Case,” . Annals of Mathematical Statistics , 27 : 590 – 615 .
  • Thomas , David R. 1971 . “On the Asymptotic Normality of a Generalized Savage Statistic for Comparing Two Arbitrarily Censored Samples,” , Oregon State University, Dept. of Statistics . Technical Report

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