STEP-DOWN MULTIPLE TESTS FOR COMPARING TREATMENTS WITH A CONTROL IN UNBALANCED ONE-WAY LAYOUTS

被引:98
作者
DUNNETT, CW
TAMHANE, AC
机构
[1] Department of Clinical Epidemiology & Biostatistics and Department of Mathematics & Statistics, McMaster University, Hamilton, Ontario
[2] Department of Statistics and Department of Industrial Engineering & Management Sciences, Northwestern University, Evanston, Illinois
关键词
D O I
10.1002/sim.4780100614
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We show how a well-known multiple step-down significance testing procedure for comparing treatments with a control in balanced one-way layouts can be applied in unbalanced layouts (unequal sample sizes for the treatments). The method we describe has the advantage that it provides p-values, for each treatment versus control comparison, that take account of the multiple step-down testing nature of the procedure. These joint p-values can be used with any value of alpha, the fixed type I familywise error rate bound, that may be specified by the investigator. To determine the p-values, it is necessary to compute a multivariate Student t integral, for which a computer program is available. This procedure is more powerful than the step-down Bonferroni procedure of Holm1 and the single-step procedure of Dunnett2. An example from the pharmaceutical literature is used to illustrate the procedure.
引用
收藏
页码:939 / 947
页数:9
相关论文
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