title: Large sample tests for simultaneous comparison to multiple controls in terms of binomial proportions.
abstract: A problem of illustrating simultaneous superiority of a certain treatment over three (or more) controls in terms of binomial proportions is considered. Applications of nine large sample intersection-union tests are discussed. The tests include the Min tests based on Wald, pooled, and Falk and Koch ( 1998 ) tests for the differences between two proportions, and their adjustments via Berger and Boos ( 1994 ) and Röhmel and Mansmann ( 1999 ) methods. Results of a large simulation study conducted to compare the proposed tests in terms of their Type I error rate and power and investigate proximity of the proposed approximate power and alternative approaches to estimate the minimum required sample size for balanced designs are discussed.
authors.affiliation: Department of Statistics, University of Nebraska-Lincoln, Lincoln , NE, USA. jsoulakova2@unl.edu
authors.forename: Julia N
authors.initials: JN
authors.lastname: Soulakova
authors.forename: Linlin
authors.initials: L
authors.lastname: Luo
mesh_terms: D000465:Algorithms; D000959:Antihypertensive Agents / Q000627:therapeutic use; D016010:Binomial Distribution; D001794:Blood Pressure / Q000187:drug effects; D002626:Chemistry, Pharmaceutical; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D004338:Drug Combinations; D006801:Humans; D006973:Hypertension / Q000188:drug therapy; D015233:Models, Statistical; D011336:Probability; D016032:Randomized Controlled Trials as Topic / Q000706:statistics & numerical data; D012107:Research Design; D018401:Sample Size
chemical_list: D000959:Antihypertensive Agents; D004338:Drug Combinations