Key Multiplicity Issues in Clinical Trials 2011

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Full-day course taught by Alex Dmitrienko (Eli Lilly and Company) at the Applied Statistics Workshop in Los Angeles, CA on April 9, 2011.

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Dmitrienko A, Tamhane A, Bretz F (editors). Multiple Testing Problems in Pharmaceutical Statistics. Chapman and Hall/CRC, 2009.

SAS programs

Download ZIP archive with SAS programs and macros for individual modules in this course. After downloading the ZIP files, please extract the programs to the Course folder on the C drive (c:\course).

For more information on software implementation of commonly used multiple testing procedures and gatekeeping procedures, see Implementation of Multiple Testing Procedures and Implementation of Gatekeeping Procedures.


Bretz, F., Maurer, W., Brannath, W., Posch, M. (2009). A graphical approach to sequentially rejective multiple test procedures. Statistics in Medicine. 28, 586-604.

Dmitrienko, A., Offen, W.W., Westfall, P.H. (2003). Gatekeeping strategies for clinical trials that do not require all primary effects to be significant. Statistics in Medicine. 22, 2387-2400. See Dmitrienko Offen Westfall 2003.

Dmitrienko, A., Tamhane, A.C. (2007). Gatekeeping procedures with clinical trial applications. Pharmaceutical Statistics. 6, 171-180. See Dmitrienko Tamhane 2007.

Dmitrienko, A., Tamhane, A.C., Wiens, B.L. (2008). General multistage gatekeeping procedures. Biometrical Journal. 50, 667-677. See Dmitrienko Tamhane Wiens 2008.

Dmitrienko, A., Tamhane, A., Liu, L. (2008). Mixtures of multiple testing procedures with gatekeeping applications. Northwestern University. Department of Industrial Engineering and Management Sciences. Working Paper 08-04.

Dmitrienko, A., Tamhane, A.C. (2009). Gatekeeping procedures in clinical trials. Multiple Testing Problems in Pharmaceutical Statistics. Dmitrienko, A., Tamhane, A.C., Bretz, F. (editors). Chapman and Hall/CRC Press, New York. See Dmitrienko Tamhane 2009.

Dmitrienko, A., Tamhane, A.C. (2011). Mixtures of multiple testing procedures for gatekeeping applications in clinical trials. Statistics in Medicine. To appear. See Dmitrienko Tamhane 2011.

Dunnett, C.W. (1955). A multiple comparison procedure for comparing several treatments with a control. Journal of the American Statistical Association. 50, 1096-1121.

Dunnett, C.W., Tamhane, A.C. (1992). A step-up multiple test procedure. Journal of the American Statistical Association. 87,162-170.

Hochberg, Y. (1988). A sharper Bonferroni procedure for multiple significance testing. Biometrika. 75, 800-802.

Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics. 6, 65-70.

Hommel, G. (1988). A stagewise rejective multiple test procedure based on a modified Bonferroni test. Biometrika. 75, 383-386.

Hothorn, T., Bretz, F., Westfall, P. (2008). Simultaneous inference in general parametric models. Biometrical Journal. 50, 346-363.

Huque, M.F., Alosh, M. (2008). A flexible fixed-sequence testing method for hierarchically ordered correlated multiple endpoints in clinical trials. Journal of Statistical Planning and Inference. 138, 321-335.

Marcus, R., Peritz, E., Gabriel, K.R. (1976). On closed testing procedures with special reference to ordered analysis of variance. Biometrika. 63, 655-660.

Maurer, W., Hothorn, L. A., Lehmacher, W. (1995). Multiple comparisons in drug clinical trials and preclinical assays: a priori ordered hypotheses. Biometrie in der Chemisch-in-Pharmazeutischen Industrie. 6. Vollman, J. (editor). Fischer-Verlag, Stuttgart, 3-18.

Millen, B., Dmitrienko, A. (2011). Chain procedures: A class of flexible closed testing procedures with clinical trial applications. See Millen Dmitrienko 2011.

Naik, U.D. (1975). Some selection rules for comparing p processes with a standard. Communications in Statistics. Series A. 4, 519-535.

Sarkar, S., Chang, C.K. (1997). Simes' method for multiple hypothesis testing with positively dependent test statistics. Journal of the American Statistical Association. 92, 1601-1608.

Sarkar, S.K. (1998). Some probability inequalities for censored MTP2 random variables: A proof of the Simes conjecture. The Annals of Statistics. 26, 494-504.

Westfall, P. H., Krishen, A. (2001). Optimally weighted, fixed sequence, and gatekeeping multiple testing procedures. Journal of Statistical Planning and Inference. 99, 25-40.

Wiens, B. (2003). A fixed-sequence Bonferroni procedure for testing multiple endpoints. Pharmaceutical Statistics. 2, 211-215.

Wiens, B., Dmitrienko, A. (2005). The fallback procedure for evaluating a single family of hypotheses. Journal of Biopharmaceutical Statistics. 15, 929-942.

Simes, R.J. (1986). An improved Bonferroni procedure for multiple tests of significance. Biometrika. 63, 655-660.