title: Simultaneous confidence intervals for comparing binomial parameters.
abstract: 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).
authors.affiliation: Department of Statistics, University of Florida, Gainesville, Florida 32611, USA. aa@stat.ufl.edu
authors.forename: Alan
authors.initials: A
authors.lastname: Agresti
authors.forename: Matilde
authors.initials: M
authors.lastname: Bini
authors.forename: Bruno
authors.initials: B
authors.lastname: Bertaccini
authors.forename: Euijung
authors.initials: E
authors.lastname: Ryu
mesh_terms: D001699:Biometry / Q000379:methods*; D003198:Computer Simulation; D016001:Confidence Intervals; D016017:Odds Ratio; D013223:Statistics as Topic / Q000379:methods*