Abstract
This chapter elaborates upon the ability of investigators to draw confirmatory conclusions from a clinical trial that consists of a control group and multiple treatment arms. After a review of the literature, a combination of the differential apportionment of the type I error rates and the use of dependent hypothesis testing will be applied to the multiple testing issue that naturally arises from the multiple treatment arm scenario. No new mathematical tools are developed, and several examples of clinical trials under design are provided to demonstrate the applicability of the procedures that we have developed in this book.
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References
Dowdy, S., Wearden, S. (1991). Statistics for Research. 2 nd Ed. New York, John Wiley.
Tukey, J.W. (1953). The problem of multiple comparsions. Department of Mathematics, Princeton University (manuscript).
Woolson, R.F. (1987). Statistical Methods for the Analysis of Biomedical Data. New York. John Wiley.
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. (1964). New tables for multiple comparisons with a control. Biometrics 20:482–491.
Winer, B.J. (1971). Statistical Principles in Experimental Design. New York. McGraw Hill. pp.201–204.
Davis, B.R. Cutler, J.A., Gordon, D.J., Furberg, C.D., Wright, J.T., Cushman, W.C., Grimm, R.H., LaRosa, J., Whelton, P.K., Perry, H.M., Alderman, M.H., Ford, C.E., Oparil, S. Francis, C., Proschan, M., Pressel, S., Black, H.R., and Hawkins, C.M. for the ALLHAT Research Group (1996), Rationale and Design for the Antihypertensive and Lipid Lowering Treatment to Prevent Heart Attack Trial (ALLHAT). American Journal of Hypertension 9:342–360.
Cheung, S.H., Holland, B. (1991). Extension of Dunnett’s multiple comparison procedure to the case of several groups. Biometrics 47:21–32.
Ping-Yu, Dahlberg, S. (1995). Design and analysis of multiarm clinical trials with survival endpoints. Controlled Clinical Trials 16:119–130.
Laska, E.M., Tang, K.I., Meisner, M.J. (1992). Testing hypotheses about an identified treatment when there are multiple endpoints 87:825–831.
Berger, V. (2000). Pros and cons of permutation tests. Statistics in Medicine. 19:1319–1328.
Berger, V.W., Lunneborg, C., Ernst, M.D., Levine, J.G. (2002). Parametric analyses in randomized clinical trials. Journal of Modern Applied Statistical Methods 1:74–82.
Fung, K.Y., Tam, H. (1988). Robust confidence intervals for comparing seveal treatment groups to a control group. Statistician 37:378–399.
Cheung, S.H., Chan, W.S. (1996). Simultaneous confidence intervals for pairwise multiple comparisons in a two-way unbalanced design. Biometrics 52:463–472.
Thall, P.F., Simon, R., Ellenberg, S.S. (1989). A two-stage design for choosing among several experimental treatments and a control in clinical trials. Biometrics. 45:537–547.
Mukerjee, H., Robertson, T., Wright, F.T. (1987). Comparison of several treatment with a control using multiple contrasts Journal of the American Statistical Association 82:902–910.
Williams, D.A. (1971). A test for differences between treamtnet measns when several dose levels are compared with a zero dose level. Biometrics. 27:103–117.
Ruberg, S.J. (1989). Contrasts for identifying the minimum effective dose. Journal of the American Statistical Assocation 84:816–822.
Tamhane A.C., Hochberg Y., Dunnett, C.W. (1996). Multiple test procedures for dose finding. Biometrics 52:21–37.
Follmann, D.A., Proschan, M.A., Geller, N.L. (1994). Monitoring pairwise comparisons in multi-armed clinical trials. Biometrics 50:325–336.
Pratt, C.M., Mahmarian, J.J., Borales-Ballejo, H., Casareto, R., Moyé, L.A. for the Transdermal Nitrogen Investigators Group (1998). Design of a randomized, placebo-controlled multicenter trial on the long-term effects of intermittent transdermal nitroglycerin on left ventricular remodeling after acute myocardial infarction. American Journal of Cardiology 81:719–724.
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(2003). Multiple Analyses and Multiple Treatment Arms. In: Multiple Analyses in Clinical Trials. Statistics for Biology and Health. Springer, New York, NY. https://doi.org/10.1007/0-387-21813-0_13
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DOI: https://doi.org/10.1007/0-387-21813-0_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-00727-4
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