Simultaneous Confidence Intervals for Comparing Binomial Parameters
Article first published online: 11 FEB 2008
© 2008, The International Biometric Society
Volume 64, Issue 4, pages 1270–1275, December 2008
How to Cite
Agresti, A., Bini, M., Bertaccini, B. and Ryu, E. (2008), Simultaneous Confidence Intervals for Comparing Binomial Parameters. Biometrics, 64: 1270–1275. doi: 10.1111/j.1541-0420.2008.00990.x
- Issue published online: 24 NOV 2008
- Article first published online: 11 FEB 2008
- Received July 2007. Revised November 2007. Accepted November 2007.
- Bonferroni method;
- Difference of proportions;
- Odds ratio;
- Score test;
- Studentized range distribution;
- Tukey multiple comparisons
Summary To compare proportions with several independent binomial samples, we recommend a method of constructing simultaneous confidence intervals that uses the studentized range distribution with a score statistic. It applies to a variety of measures, including the difference of proportions, odds ratio, and relative risk. For the odds ratio, a simulation study suggests that the method has coverage probability closer to the nominal value than ad hoc approaches such as the Bonferroni implementation of Wald or “exact” small-sample pairwise intervals. It performs well even for the problematic but practically common case in which the binomial parameters are relatively small. For the difference of proportions, the proposed method has performance comparable to a method proposed by Piegorsch (1991, Biometrics 47, 45–52).