Testing Against Ordered Alternatives for Censored Survival Data

REFERENCES

• Aalen , O. O. 1978 . “Nonparametric Inference for a Family of Counting Processes,” . The Annals of Statistics , 6 : 701 – 726 .
   Web of Science ®Google Scholar
• Bucher , J. R. , Hejtmancik , M. R. , Toft , J. D. II , Persing , R. L. , Eustis , S. L. and Haseman , J. K. 1991 . “Results and Conclusions of the National Toxicology Program's Rodent Carcinogenicity Studies with Sodium Fluoride,” . International Journal of Cancer , 48 ( 5 ) : 733 – 737 .
   PubMed Web of Science ®Google Scholar
• Cox , D. R. 1972 . “Regression Models and Life Tables” . Journal of the Royal Statistical Society , 34 : 187 – 220 . (with discussion), Ser. B
   Google Scholar
• Crowley , J. “Some Extensions of the Log Rank Test,” in Clinical Trials in “Early” Breast Cancer . Proceedings of a Symposium . Heidelberg, Germany, New York : Springer-Verlag. .
   Google Scholar
• Fleming , T. R. and Harrington , D. P. 1991 . Counting Process and Survival Analysis New York : John Wiley. .
   Google Scholar
• Gehan , E. A. 1965 . “A Generalized Wilcoxon Test for Comparing Arbitrarily Singly Censored Samples,” . Biometrika , 52 : 203 – 223 .
   PubMed Web of Science ®Google Scholar
• Gill , R. D. 1980 . “Censoring and Stochastic Integrals,”. ” . In Mathematical Centre Tracts 124 Amsterdam : Mathematisch Centrum. .
   Google Scholar
• Green , S. 1979 . “Estimation and Testing of Location for Arbitrarily Right-Censored Data,” University of Wisconsin, Dept, of Statistics. . unpublished doctoral thesis
   Google Scholar
• Harrington , D. P. and Fleming , T. R. 1982 . “A Class of Rank Test Procedures for Censored Survival Data,” . Biometrika , 69 : 133 – 143 .
   Web of Science ®Google Scholar
• Hettmansperger , T. P. and Norton , R. M. 1987 . “Tests for Patterned Alternatives in k-Sample Problems,” . Journal of the American Statistical Association , 82 : 292 – 299 .
   Web of Science ®Google Scholar
• Jonckheere , A. R. 1954 . “A Distribution-Free K-sample Test Against Ordered Alternatives,” . Biometrika , 41 : 133 – 145 .
   Web of Science ®Google Scholar
• Mantel , N. 1966 . “Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration,” . Cancer Chemotherapy Report , 50 : 163 – 170 .
   PubMedGoogle Scholar
• Mau , J. 1988 . “A Generalization of a Nonparametric Test for Stochastically Ordered Distributions to Censored Survival Data,” . Journal of the Royal Statistical Society , 50 : 403 – 412 . Ser. B
   Google Scholar
• Moertel , C. G. , Fleming , T. R. , MacDonald , J. S. , Haller , D. G. , Laurie , J. A. , Goodman , P. J. , Ungerleider , J. S. , Emerson , W. A. , Tormey , D. C. , Glick , J. H. , Veeder , M. H. and Maillard , J. A. 1990 . “Levamisole and Fluorouracil for Adjuvant Therapy of Resected Colon Carcinoma,” . New England Journal of Medicine , 322 : 352 – 358 .
   PubMed Web of Science ®Google Scholar
• Patel , K. M. and Hoel , D. G. 1973 . “A Generalized Jonckheere k-Sample Test Against Ordered Alternatives When Observations Are Subject to Arbitrary Right Censorship,” . Communications in Statistics , 2 : 373 – 380 .
   Google Scholar
• Peto , R. and Peto , J. 1972 . “Asymptotically Efficient Rank Invariant Test Procedures” . Journal of the Royal Statistical Society , 135 : 185 – 206 . (with discussion), Ser. A
   Google Scholar
• Prentice , R. L. 1978 . “Linear Rank Tests with Right Censored Data,” . Biometrika , 65 : 167 – 179 .
   Web of Science ®Google Scholar
• Prentice , R. L. and Marek , P. 1979 . “A Qualitative Discrepancy Between Censored Data Rank Tests,” . Biometrics , 35 : 861 – 867 .
   PubMed Web of Science ®Google Scholar
• Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order-Restricted Statistical Inference New York : John Wiley. .
   Google Scholar
• Tarone , R. E. 1975 . “Tests for Trend in Life Table Analysis,” . Biometrika , 62 : 679 – 682 .
   Web of Science ®Google Scholar
• Tarone , R. E. and Ware , J. 1977 . “On Distribution-Free Tests for Equality of Survival Distributions,” . Biometrika , 64 : 147 – 160 .
   Web of Science ®Google Scholar
• Terpstra , T. J. 1952 . “The Asymptotic Normality and Consistency of Kendall's Test Against Trend, When Ties Are Present in One Ranking,” . lndagationes Mathematicae , 14 : 327 – 333 .
   Google Scholar