Comparing Two Samples: Extensions of the t, Rank-Sum, and Log-Rank Tests

References

• Anderson , T. W. 1958 . Introduction to Multivariate Statistical Analysis , New York : John Wiley .
   Google Scholar
• Behnen , K. and Husková , M. 1984 . “A Simple Algorithm for the Adaptation of Scores and Power Behavior of the Corresponding Rank Test,” . Communications in Statistics, Part A—Theory and Methods , 13 : 305 – 325 .
   Web of Science ®Google Scholar
• Behnen , K. , Neuhaus , G. and Ruymgaart , F. 1983 . “Two Sample Rank Estimators of Optimal Nonparametric Score-Functions and Corresponding Adaptive Rank Statistics,” . The Annals of Statistics , 11 : 1175 – 1189 .
   Web of Science ®Google Scholar
• Beran , R. 1974 . “Asymptotically Efficient Adaptive Rank Estimates in Location Models,” . The Annals of Statistics , 2 : 63 – 74 .
   Web of Science ®Google Scholar
• Blumberg , E. M. , West , P. M. and Ellis , F. W. 1954 . “A Possible Relationship Between Psychological Factors and Human Cancer,” . Psychosomatic Medicine , 16 : 277 – 286 .
   PubMed Web of Science ®Google Scholar
• Brown , M. 1984 . “On the Choice of Variance for the Log Rank Test,” . Biometrika , 71 : 65 – 74 .
   Web of Science ®Google Scholar
• Cox , D. R. 1972 . “Regression Models and Life Tables” . Journal of the Royal Statistical Society , 34 : 198 – 220 . (with discussion), Ser. B
   Google Scholar
• Dyck , P. J. , Daube , J. , O'Brien , P. C. , Pineda , A. , Low , P. A. , Windebank , J. and Swanson , C. 1986 . “Plasma Exchange in Chronic Inflammatory Demyelinating Polyradiculoneuropathy,” . New England Journal of Medicine , 314 : 461 – 465 .
   PubMed Web of Science ®Google Scholar
• Eplett , W. J. R. 1982 . “Rank Tests Generated by Continuous Piecewise Linear Functions,” . The Annals of Statistics , 10 : 569 – 574 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Gallant , A. R. 1975 . “Nonlinear Regression,” . The American Statistician , 29 : 73 – 81 .
   Web of Science ®Google Scholar
• Gallant , A. R. 1977 . “Testing a Nonlinear Regression Specification: A Non-regular Case,” . Journal of the American Statistical Association , 72 : 523 – 530 .
   Web of Science ®Google Scholar
• Halpern , J. 1982 . “Maximally Selected Chi-Square Statistics for Small Samples,” . Biometrics , 38 : 1017 – 1023 .
   Web of Science ®Google Scholar
• Halperin , M. , Blackwelder , W. C. and Verter , J. I. 1971 . “Estimation of the Multivariate Logistic Risk Function: A Comparison of the Discriminant Function and Maximum Likelihood Approaches,” . Journal of Chronic Diseases , 24 : 125 – 158 .
   PubMedGoogle Scholar
• Harrington , D. P. and Fleming , T. R. 1982 . “A Class of Rank Test Procedures for Censored Survival Data,” . Biometrika , 69 : 553 – 566 .
   Web of Science ®Google Scholar
• Leary , F. J. , Resseguie , L. J. , Kurland , L. T. , O'Brien , P. C. , Emslander , R. F. and Noller , K. L. 1984 . “Evaluation of Males Exposed in Utero to Diethylstilbestrol,” . Journal of the American Medical Association , 252 : 2984 – 2989 .
   PubMed Web of Science ®Google Scholar
• Lehmann , E. L. 1959 . Testing Statistical Hypotheses , New York : John Wiley .
   Google Scholar
• Lehmann , E. L. 1975 . Nonparametrics: Statistical Methods Based on Ranks , San Francisco : Holden-Day .
   Google Scholar
• Miller , R. and Siegmund , D. 1982 . “Maximally Selected Chi-Square Statistics,” . Biometrics , 38 : 1011 – 1016 .
   Web of Science ®Google Scholar
• O'Neill , T. J. 1980 . “The General Distribution of the Error Rate of a Classification Procedure With Application to Logistic Regression Discrimination,” . Journal of the American Statistical Association , 75 : 154 – 160 .
   Web of Science ®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
• Press , S. J. and Wilson , S. 1978 . “Choosing Between Logistic Regression and Discriminant Analysis,” . Journal of the American Statistical Association , 73 : 699 – 705 .
   Web of Science ®Google Scholar
• Randles , R. H. and Wolfe , D. A. 1979 . Introduction to the Theory of Nonparametric Statistics , New York : John Wiley .
   Google Scholar
• Schien , P. D. , Stablein , D. M. , Bruckner , H. W. , Douglass , H. O. Mayer , R. 1982 . “A Comparison of Combination Chemotherapy and Combined Modality Therapy for Locally Advanced Gastric Carcinoma,” . Cancer , 49 : 1771 – 1777 .
   PubMed Web of Science ®Google Scholar
• Stablein , D. M. and Koutrouvelis , I. A. 1985 . “A Two-Sample Test Sensitive to Crossing Hazards in Uncensored and Singly Censored Data,” . Biometrics , 41 : 643 – 652 .
   PubMed Web of Science ®Google Scholar
• Weissfeld , L. A. and Wieand , H. S. 1984 . “Bounds on Efficiencies for Some Two-Sample Nonparametric Statistics,” . Communications in Statistics, Part A—Theory and Methods , 13 : 1741 – 1757 .
   Web of Science ®Google Scholar