In this article I discuss four procedures that compare each of two treatments against the control for dichotomous data while maintaining the familywise type I error rate at a level a. The four procedures are two unconditional exact tests, the Hochberg procedure, and the Bonferroni procedure, and they are compared in terms of exact power. After that, the numerical results of this article are also compared with those of Kang and Choi (Drug Information Journal 2008; 42:337–347). The best procedures are recommended depending on the values of the parameters under the alternative hypothesis.
KangSHChoiS. Conditional exact tests for dichotomous data in the comparison of two treatments with one control group. Drug Inf J.2008; 42:337–347.
2.
Chuang-SteinCTongDM. Multiple comparisons procedures for comparing several treatments with a control based on binary data. Stat Med.1995; 14:2509–2522.
3.
KochHHothornLA. Exact unconditional distributions for dichotomous data in many-to-one comparisons. J Stat Plan Infer.1999; 82:83–99.
4.
SuissaSShusterJJ. Exact unconditional sample sizes for the 2 times 2 binomial trial. J R Stat Soc A.1985; 148(4):317–327.
5.
MehtaCRHiltonJF. Exact power of conditional and unconditional tests: going beyond the 2 times 2 contingency table. Am Stat.1993; 47(2):91–98.
6.
KangSHAhnW. Tests for the homogeneity of two binomial proportions in extremely unbalanced 2 times 2 contingency tables. Stat Med.2008; 27: 2524–2535.
7.
WilliamsDA. Tests for differences between several small proportions. Appl Stat.1988; 37(3):421–434.
