Strategies for Dealing with Multiple Treatment Comparisons in Confirmatory Clinical Trials

In many clinical trials there are multiple treatments under consideration which require multiple comparisons. Investigators are faced with the problems of Type I error control (experimentwise, familywise, or comparisonwise), maintenance of reasonable power for the study, and the selection of appropriate multiple comparison techniques to achieve these. This paper reviews briefly the various multiple comparison techniques available and discusses strategies for aiding investigators in applying these in settings typical in clinical trials (eg, confirmatory studies with placebo or positive controls or both). In a confirmatory setting, the treatment comparisons can often be divided into sets or families. Appropriate multiple comparison techniques, possibly differing across families, can then be applied within and across these. Study objectives can be better achieved by employing the strategies suggested.

[1]  Charles W. Dunnett,et al.  Pairwise Multiple Comparisons in the Homogeneous Variance, Unequal Sample Size Case , 1980 .

[2]  Y. Hochberg A sharper Bonferroni procedure for multiple tests of significance , 1988 .

[3]  Charles W. Dunnett,et al.  New tables for multiple comparisons with a control. , 1964 .

[4]  B. J. Winer Statistical Principles in Experimental Design , 1992 .

[5]  R B D'Agostino,et al.  Multiple comparisons in over-the-counter drug clinical trials with both positive and placebo controls. , 1991, Statistics in medicine.

[6]  Williams Da,et al.  The comparison of several dose levels with a zero dose control. , 1972 .

[7]  O. J. Dunn Estimation of the Means of Dependent Variables , 1958 .

[8]  G. Hommel A stagewise rejective multiple test procedure based on a modified Bonferroni test , 1988 .

[9]  S. G. Carmer,et al.  An Evaluation of Ten Pairwise Multiple Comparison Procedures by Monte Carlo Methods , 1973 .

[10]  J. F. Howell,et al.  Pairwise Multiple Comparison Procedures with Unequal N’s and/or Variances: A Monte Carlo Study , 1976 .

[11]  S. Holm A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[12]  C. Dunnett Pairwise Multiple Comparisons in the Unequal Variance Case , 1980 .

[13]  Rupert G. Miller Simultaneous Statistical Inference , 1966 .

[14]  L. Toothaker Multiple Comparisons for Researchers , 1991 .

[15]  W. Kruskal,et al.  Use of Ranks in One-Criterion Variance Analysis , 1952 .

[16]  Clyde Young Kramer,et al.  Extension of multiple range tests to group means with unequal numbers of replications , 1956 .

[17]  Juliet Popper Shaffer,et al.  Comparison of Means: An F Test Followed by a Modified Multiple Range Procedure , 1979 .

[18]  D. B. Duncan MULTIPLE RANGE AND MULTIPLE F TESTS , 1955 .

[19]  R. Welsch Stepwise Multiple Comparison Procedures , 1977 .

[20]  K. Gabriel,et al.  A Study of the Powers of Several Methods of Multiple Comparisons , 1975 .

[21]  H. Scheffé,et al.  The Analysis of Variance , 1960 .

[22]  R. A. Fisher,et al.  Design of Experiments , 1936 .

[23]  A. Tamhane,et al.  Multiple Comparison Procedures , 1989 .

[24]  Philip H. Ramsey Power Differences between Pairwise Multiple Comparisons , 1978 .

[25]  K. Gabriel,et al.  On closed testing procedures with special reference to ordered analysis of variance , 1976 .

[26]  P Bauer,et al.  Multiple testing in clinical trials. , 1991, Statistics in medicine.

[27]  D. Newman,et al.  THE DISTRIBUTION OF RANGE IN SAMPLES FROM A NORMAL POPULATION, EXPRESSED IN TERMS OF AN INDEPENDENT ESTIMATE OF STANDARD DEVIATION , 1939 .

[28]  M. Friedman The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance , 1937 .

[29]  Z. Šidák Rectangular Confidence Regions for the Means of Multivariate Normal Distributions , 1967 .

[30]  Y. Benjamini,et al.  More powerful procedures for multiple significance testing. , 1990, Statistics in medicine.

[31]  H. Scheffé A METHOD FOR JUDGING ALL CONTRASTS IN THE ANALYSIS OF VARIANCE , 1953 .

[32]  O. J. Dunn Multiple Comparisons Using Rank Sums , 1964 .

[33]  O. J. Dunn Multiple Comparisons among Means , 1961 .

[34]  T. A. Ryan,et al.  Significance tests for multiple comparison of proportions, variances, and other statistics. , 1960, Psychological bulletin.

[35]  E. Laska,et al.  Testing whether an identified treatment is best. , 1989, Biometrics.

[36]  J. Fleiss The design and analysis of clinical experiments , 1987 .

[37]  Williams Da,et al.  A test for differences between treatment means when several dose levels are compared with a zero dose control. , 1971 .