title: Simultaneous confidence intervals for a success probability and intraclass correlation, with an application to screening mammography.
abstract: This paper provides asymptotic simultaneous confidence intervals for a success probability and intraclass correlation of the beta-binomial model, based on the maximum likelihood estimator approach. The coverage probabilities of those intervals are evaluated. An application to screening mammography is presented as an example. The individual and simultaneous confidence intervals for sensitivity and specificity and the corresponding intraclass correlations are investigated. Two additional examples using influenza data and sex ratio data among sibships are also considered, where the individual and simultaneous confidence intervals are provided.
authors.affiliation: Department of Biostatistics, H. Lee Moffitt Cancer Center & Research Institute, Tampa, FL, 33612, USA; Department of Oncologic Sciences, College of Medicine, University of South Florida, Tampa, FL, 33612, USA.
authors.forename: Jongphil
authors.initials: J
authors.lastname: Kim
authors.forename: Ji-Hyun
authors.initials: JH
authors.lastname: Lee
mesh_terms: D001699:Biometry / Q000379:methods*; D001943:Breast Neoplasms / Q000000981:diagnostic imaging; D002648:Child; D016001:Confidence Intervals; D005260:Female; D006801:Humans; D007251:Influenza, Human / Q000453:epidemiology; D008297:Male; D008327:Mammography; D008403:Mass Screening; D015233:Models, Statistical; D011336:Probability; D012744:Sex Ratio
keywords: Beta-binomial distribution; Coverage probability; Maximum likelihood estimator; Overdispersion; Simultaneous confidence intervals