title: Binomial confidence intervals for testing non-inferiority or superiority: a practitioner's dilemma.
abstract: In testing for non-inferiority or superiority in a single arm study, the confidence interval of a single binomial proportion is frequently used. A number of such intervals are proposed in the literature and implemented in standard software packages. Unfortunately, use of different intervals leads to conflicting conclusions. Practitioners thus face a serious dilemma in deciding which one to depend on. Is there a way to resolve this dilemma? We address this question by investigating the performances of ten commonly used intervals of a single binomial proportion, in the light of two criteria, viz., coverage and expected length of the interval.
authors.affiliation: Pfizer Inc., Cambridge, MA, USA vip296@mail.harvard.edu.
authors.forename: Vivek
authors.initials: V
authors.lastname: Pradhan
authors.affiliation: Boston Scientific Corporation, Marlborough, MA, USA.
authors.forename: John C
authors.initials: JC
authors.lastname: Evans
authors.affiliation: Indian Institute of Management, Ahmedabad, India.
authors.forename: Tathagata
authors.initials: T
authors.lastname: Banerjee
mesh_terms: D001499:Bayes Theorem; D016001:Confidence Intervals; D000074099:Equivalence Trials as Topic; D005260:Female; D006801:Humans; D018401:Sample Size; D012984:Software; D014550:Urinary Incontinence, Stress / Q000628:therapy
keywords: coverage; expected length; non-inferiority; superiority