Joint One-Sided and Two-Sided Simultaneous Confidence Intervals

REFERENCES

• Anonymous ( 2001 ). Points to consider on multiplicity issues in clinical trials . Biometrical Journal 43 : 1039 – 1048 .
   Web of Science ®Google Scholar
• CPMP ( 2002 ). Adjustment for multiplicity and related topics. Points to consider on multiplicity issues in clinical trials . European Agency for the Evaluation of Medicinal Products, CPMP/EWP/908/99 . London , UK .
   Google Scholar
• Bauer , P. , Röhmel , J. , Maurer , W. , Hothorn , L. (1998). Testing strategies in multi-dose experiments including active control. Statistics in Medicine 17:2133–2146.
   PubMed Web of Science ®Google Scholar
• Bretz , F. ( 1999 ). Powerful Modification of William' Test on Trend . PhD. thesis, University of Hannover .
   Google Scholar
• Bretz , F. , Hothorn L. A. ( 2003 ). Statistical analysis of monotone or non-monotone dose-response data from in vitro toxicological assays . ATLA-Alternatives to Laboratory Animals 31 :81–96 (Suppl. 1).
   Web of Science ®Google Scholar
• Bretz , F. , Genz , A. , Hothorn , L. A. ( 2001 ). On the numerical availability of multiple comparison procedures . Biometrical Journal 43 : 645 – 656 .
   Web of Science ®Google Scholar
• Bretz , F. , Hothorn , T. , Westfall , P. ( 2002 ). On multiple comparisons in R . R News 2 ( 3 ): 14 – 17 .
   Google Scholar
• Cheung , S. H. , Kwong , K. S. , Chan , W. S. , Leung , S. P. ( 2004 ). Multiple comparisons with a control in families with both one-sided and two-sided hypotheses . Statistics in Medicine 23 : 2975 – 2988 .
   PubMed Web of Science ®Google Scholar
• D'Agostino , R. B. Sr. , Massaro , J. M. , Sullivan , L. M. ( 2003 ). Non-inferiority trials: Design concepts and issues—The encounters of academic consultant statistics . Statistics in Medicine 22 : 169 – 186 .
   PubMed Web of Science ®Google Scholar
• Dilba , G. , Schaarschmidt , F. ( 2006 ). Mratios: Inferences for ratios of coefficients in the general linear model . R package version 1.0 .
   Google Scholar
• Dilba , G. , Bretz , F. , Guiard , V. ( 2006 ). Simultaneous confidence sets and confidence intervals for multiple ratios . Journal of Statistical Planning and Inference 136 : 2640 – 2658 .
   Web of Science ®Google Scholar
• Dilba , G. , Schaarschmidt , F. , Hothorn , L. A. ( 2007 ). Inferences for ratios of normal means . R News 7 ( 1 ): 20 – 23 .
   Google Scholar
• Dunnett , C. W. ( 1955 ). A multiple comparison procedure for comparing several treatments with a control . Journal of the American Statistical Association 50 ( 272 ): 1096 – 1121 .
   Web of Science ®Google Scholar
• Fieller , E. C. ( 1954 ). Some problems in interval estimation . Journal of the Royal Statistical Society Series B—Statistical Methodology 16 ( 2 ): 175 – 185 .
   Web of Science ®Google Scholar
• Genz , A. , Bretz , F. , R port by Hothorn , T. ( 2006 ). Mvtnorm: Multivariate normal and t distribution . R package version 0.7-5 .
   Google Scholar
• Hayter , A. J. , Liu , W. ( 1996 ). Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative . Computational Statistics and Data Analysis 22 : 17 – 25 .
   Web of Science ®Google Scholar
• Hayter , A. J. , Miwa , T. , Liu , W. ( 2000 ). Combining the advantages of one-sided and two-sided procedures for comparing several treatments with a control . Journal of Statistical Planning and Inference 86 : 81 – 99 .
   Web of Science ®Google Scholar
• Hirotsu , C. , Marumo , K. ( 2002 ). Changepoint analysis as a method for isotonic inference . Scandinavian Journal of Statistics 29 ( 1 ): 125 – 138 .
   Web of Science ®Google Scholar
• Hochberg , Y. , Tamhane , A. C. ( 1987 ). Multiple Comparison Procedures . John Wiley & Sons, Inc.
   Google Scholar
• Hothorn , T. , Bretz , F. , Westfall , P. ( 2006 ). Multcomp: Simultaneous Inference for General Linear Hypotheses . R package version 0.991-5 .
   Google Scholar
• Hsu , J. ( 1996 ). Multiple Comparisons: Theory and Methods . London , UK : Chapman & Hall .
   Google Scholar
• ICH guideline E9 ( 1998 ). Guidance for Industry. Statistical principles for clinical trials . See URL http://www.fda.gov/cder/guidance/ICH_E9-fnl.PDF .
   Google Scholar
• Koch , G. G. ( 1991 ). One-sided p-values and two-sided tests and p values . Journal of Biopharmaceutical Statistics 1 : 161 – 170 .
   PubMedGoogle Scholar
• Long , B. J. , Jelovac , D. , Handratta , V. , Thiantanawat , A. , MacPherson , N. , Ragaz , J. , Goloubeva , O. G. , Brodie , A. M. ( 2004 ). Therapeutic strategies using the aromatase inhibitor letrozole and tamoxifen in a breast cancer model . Journal of the National Breast Cancer Institute 96 : 456 – 465 .
   PubMed Web of Science ®Google Scholar
• R Development Core Team ( 2006 ). A language and environment for statistical computing . R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org .
   Google Scholar
• Tong , Y. L. ( 1990 ). The Multivariate Normal Distribution . New York : Springer .
   Google Scholar
• Tukey , J. W. ( 1953 ). The problem of multiple comparisons . Mimeographed Notes . Princeton University .
   Google Scholar
• Westfall , P. H. , Tobias , R. D. , Rom , D. , Wolfinger , R. D. , Hochberg , Y. ( 1999 ). Multiple Comparisons and Multiple Tests Using the SAS System . Cary , NC : SAS Institute Inc.
   Google Scholar