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Theory and Method

A Robust Analysis of Crossover Designs using Multisample Generalized L-Statistics

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Pages 1256-1262 | Received 01 Aug 1998, Published online: 17 Feb 2012

References

  • Balaam , L. N. 1968 . “A Two-Period Design with t2 Experimental Units” . Biometrics , 24 : 61 – 67 .
  • Chi , E. M. 1994 . “M-Estimation in Cross-Over Trials” . Biometrics , 50 : 486 – 493 .
  • Chinchilli , V. M. and Esinhart , J. D. 1996 . “Design and Analysis of Intra-Subject Variability in Crossover Experiments” . Statistics in Medicine , 15 : 1619 – 1634 .
  • Craig , T. J. , Teets , S. , Lehman , E. B. , Chinchilli , V. M. and Zwillich , C. 1998 . “Nasal Congestion Secondary to Allergic Rhinitis as a Cause of Sleep Disturbance and Daytime Fatigue and the Response to Topical Nasal Corticosteroids” . Journal of Allergy and Clinical Immunology , 101 : 633 – 637 .
  • Elswick , R. K. Jr. and Uthoff , V. A. 1989 . “A Nonparametric Approach to the Analysis of the Two-Treatment Two-Period Four-Sequence Crossover Model” . Biometrics , 45 : 664 – 667 .
  • Freeman , P. R. 1989 . “The Performance of the Two-Stage Analysis of Two-Treatment, Two-Period Crossover Trials” . Statistics in Medicine , 8 : 1421 – 1432 .
  • Friedman , L. M. , Furburg , C. and DeMets , D. L. 1998 . Fundamentals of Clinical Trials, , 3rd ed. , New York : Springer .
  • Gastwirth , J. L. and Cohen , M. L. 1970 . “Small Sample Behavior of Some Robust Linear Estimators of Location” . Journal of the American Statistical Association , 65 : 946 – 973 .
  • Hampel , R. 1974 . “The Influence Curve and Its Role in Robust Estimation” . Journal of the American Statistical Association , 69 : 383 – 393 .
  • Hodges , J. L. Jr. and Lehmann , E. L. 1962 . “Rank Methods for Combination of Independent Experiments in the Analysis of Variance” . Annals of Mathematics and Statistics , 33 : 482 – 497 .
  • Jones , B. and Kenward , M. G. 1989 . Design and Analysis of Cross-Over Trials , London : Chapman and Hall .
  • Jones , B. J. and Lewis , J. 1994 . “The Case for Cross-Over Trials in Phase III” . Statistics in Medicine , 14 : 1025 – 1038 .
  • Koch , G. 1972 . “The Use of Non-Parametric Methods in the Statistical Analysis of the Two-Period Change-Over Design” . Biometrics , 28 : 577 – 584 .
  • Koch , G. G. , Amara , I. A. , Brown , B. W. , Colton , T. and Gillings , D. B. 1989 . “A Two-Period Crossover Design for the Comparison of Two Active Treatments and Placebo” . Statistics in Medicine , 8 : 487 – 504 .
  • Lehmann , E. L. 1983 . Theory of Point Estimation , New York : Wiley .
  • Putt , M. 1998 . “Aspects of the Analysis of Crossover Trials,” , doctoral thesis Harvard School of Public Health .
  • Putt , M. and Chinchilli , V. M. 1999 . “Correction to Helmers et al., 1990, Berry-Esséen and Bootstrap Results for Generalized L-Statistics” . Scandinavian Journal of Statistics , 26 : 475 – 476 .
  • Putt , M. and Chinchilli , V. M. 2000 . “Estimating the Variance of Generalized L-Statistics,” submitted to Communications in Statistics, Part A–Theory and Methods.
  • Senn , S. 1993 . Crossover Trials in Clinical Research , New York : Wiley .
  • Senn , S. 1996 . “The AB/BA Crossover: How to Perform the Two-Stage Analysis if You Can't be Persuaded That You Shouldn't,” . In Liber Amicorum Role van Strik , Edited by: Hansen , B. and de Ridder , M. 93 – 100 . Rotterdam : Erasmus University Press .
  • Senn , S. 1998 . Crossover Designs, in Encyclopedia of Biostatistics , Edited by: Armitage , P. and Colton , T. Vol. 2 , 1033 – 1049 . New York : John Wiley & Sons .
  • Senn , S. and Lambrou , D. 1998 . “Robust and Realistic Approaches to Carryover” . Statistics in Medicine , 17 : 2849 – 2864 .
  • Serfling , R. J. 1980 . Approximation Theorems of MathematicaL-statistics , New York : Wiley .
  • Serfling , R. J. 1984 . “Generalized L-, M-, and R-Statistics” . The Annals of Statistics , 12 : 76 – 86 .
  • Silverman , B. W. 1983 . “Convergence of a Class of Empirical Distribution Functions of Dependent Random Variables” . Annals of Probability , 11 : 745 – 751 .
  • Tudor , G. and Koch , G. G. 1994 . “Review of Nonparametric Methods for the Analysis of Crossover Studies” . Statistical Methods in Medical Research , 3 : 345 – 381 .
  • van Elteren , P. 1960 . “On the Combination of Independent Two Sample Tests of Wilcoxon” . Bulletin of the Institute of InternationaL-statistics , 37 : 351 – 361 .
  • Vonesh , E. F. and Chinchilli , V. M. 1997 . Linear and Nonlinear Models for the Analysis of Repeated Measurements , New York : Marcel Dekker .
  • Wang , S. J. and Hung , H. M. 1997 . “Use of Two-Stage Test Statistics in Two-Period Crossover Trials” . Biometrics , 53 : 1081 – 1091 .

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