Nonparametric Sequential Comparison of Two Treatments with Random Allocation

REFERENCES

• Afifi , A. A. and Kim , P. J. ( 1972 ). Comparison of Some Two-Sample Tests for Non-normal Alternatives , Journal of Royal Statistical Society, Series B 34 : 448 – 455 .
   Google Scholar
• Csörgö , M. and Révész , P. ( 1981 ). Strong Approximations in Probability and Statistics , New York : Academic Press .
   Google Scholar
• Dehling , H. , Denker , M. , and Philipp , W. ( 1986 ). A Bounded Law of Iterated Logarithm for Hilbert Space Valued Martingales and Its Application to U-statistics , Probability Theory and Related Fields 72 : 111 – 131 .
   Google Scholar
• Ferger , D. ( 1994 ). On the Power of Nonparametric Changepoint-Tests , Metrika 1 : 277 – 292 .
   Google Scholar
• Gombay , E. ( 1996 ). The Weighted Sequential Likelihood Ratio , Canadian Journal of Statistics 24 : 229 – 239 .
   Web of Science ®Google Scholar
• Gombay , E. ( 2000a ). Sequential Change-Detection with Likelihood Ratios , Statistics and Probability Letters 49 : 195 – 204 .
   Web of Science ®Google Scholar
• Gombay , E. ( 2000b ). U-Statistics for Sequential Change Detection , Metrika 52 : 133 – 145 .
   Web of Science ®Google Scholar
• Gombay , E. ( 2002 ). Sequential Testing of Composite Hypothesis , in Limit Theorems in Probability and Statistics , vol. 2 , I. Berkes , E. Csáki , and M. Csorgo , eds., pp. 107 – 125 , Amsterdam : North-Holland .
   Google Scholar
• Gu , M. and Lai , T. L. ( 1998 ). Repeated Significance Testing with Censored Rank Statistics in Interim Analysis of Clinical Trials , Statistica Sinica 8 : 411 – 428 .
   Google Scholar
• Hussein , A. ( 2003 ). On Two-Sample Sequential Testing Procedures Based on Strong Approximation Principles , Ph.D. Diss., University of Alberta, Canada .
   Google Scholar
• Hussein , A. and Carriere , K. C. (2005). On Group Sequential Procedures Under Variance Heterogeneity, Statistical Methods in Medical Research 14: 121–128.
   PubMedGoogle Scholar
• Jennison , C. and Turnbull , B. W. ( 2000 ). Group Sequential Methods with Applications to Clinical Trials , New York : Chapman and Hall/CRC .
   Google Scholar
• Jennison , C. and Turnbull , B. W. ( 2001 ). On Group Sequential Tests for Data in Unequally Sized Groups and with Unknown Variance , Journal of Statistical Planning and Inference 96 : 263 – 288 .
   Web of Science ®Google Scholar
• Jones , D. and Whitehead , J. ( 1979 ). Sequential Forms of the Log Rank and Modified Wilcoxon Tests for Censored data , Biometrika 66 : 105 – 114 . Corrections: Biometrika 68: 576 .
   Web of Science ®Google Scholar
• Koroljuk , V. S. and Borovskich , Yu. V. ( 1994 ). Theory of U-Statistics , Norwell : Kluwer .
   Google Scholar
• Lax , D. A. ( 1985 ). Robust Estimators of Scale: Finite-Sample Performance in Long-Tailed Symmetric Distributions , Journal of American Statistical Association 80 : 736 – 741 .
   Web of Science ®Google Scholar
• Lee , A. F. S. ( 1992 ). Optimal Sample Sizes Determined by Two-Sample Welch's t-test , Communications in Statistics—Simulation & Computation 21 : 689 – 696 .
   Web of Science ®Google Scholar
• Majumdar , H. and Sen , P. K. ( 1978 ). Nonparametric Testing for Simple Regression under Progressive Censoring with Staggered Entry and Random Withdrawal , Communications in Statistics—Theory & Methods 7 : 349 – 371 .
   Web of Science ®Google Scholar
• Miller , R. G. , Jr. ( 1981 ). Survival Analysis , New York : Wiley .
   Google Scholar
• Miller , R. J. , Jr. and Sen , P. K. ( 1972 ). Weak Convergence of U-Statistics and Von Mise' Differentiable Statistical Functions , Annals of Mathematical Statistics 43 : 31 – 41 .
   Google Scholar
• O'Brien , P. C. and Fleming , T. R. ( 1979 ). A Multiple Testing Procedure for Clinical Trials , Biometrics 35 : 549 – 556 .
   PubMed Web of Science ®Google Scholar
• Pocock , S. J. ( 1977 ). Group Sequential Methods in the Design and Analysis of Clinical Trials , Biometrika 64 : 191 – 199 .
   Web of Science ®Google Scholar
• Slud , E. V. and Wei , L. J. ( 1982 ). Two-Sample Repeated Significance Tests Based on the Modified Wilcoxon Statistic , Journal of American Statistical Association 77 : 862 – 868 .
   Web of Science ®Google Scholar
• Tsiatis , A. A. ( 1984 ). Repeated Significance Testing for a General Class of Statistics Used in Censored Survival Analysis , Journal of American Statistical Association 77 : 855 – 861 .
   Google Scholar
• Vostrikova , L. Y. ( 1981 ). Detection of a “Disorder” in a Wiener Process , Theory of Probability and Its Applications 26 : 356 – 362 .
   Web of Science ®Google Scholar
• Recommended by M. Hušková
   Google Scholar