title: Recommended tests and confidence intervals for paired binomial proportions.
abstract: We describe, evaluate, and recommend statistical methods for the analysis of paired binomial proportions. A total of 24 methods are considered. The best tests for association include the asymptotic McNemar test and the McNemar mid- p test. For the difference between proportions, we recommend two simple confidence intervals with closed-form expressions and the asymptotic score interval. The asymptotic score interval is also recommended for the ratio of proportions, as is an interval with closed-form expression based on combining two Wilson score intervals for the single proportion. For the odds ratio, we recommend a transformation of the Wilson score interval and a transformation of the Clopper-Pearson mid- p interval. We illustrate the practical application of the methods using data from a recently published study of airway reactivity in children before and after stem cell transplantation and a matched case-control study of the association between floppy eyelid syndrome and obstructive sleep apnea-hypopnea syndrome.
authors.affiliation: Unit of Biostatistics and Epidemiology, Oslo University Hospital, Norway.
authors.forename: Morten W
authors.initials: MW
authors.lastname: Fagerland
authors.forename: Stian
authors.initials: S
authors.lastname: Lydersen
authors.forename: Petter
authors.initials: P
authors.lastname: Laake
mesh_terms: D002986:Clinical Trials as Topic / Q000706:statistics & numerical data; D016001:Confidence Intervals; D006801:Humans; D016555:Matched-Pair Analysis; D015233:Models, Statistical; D012107:Research Design
keywords: McNemar; dependent data; matched data; mid-p; paired data