title: Distribution-free Inference of Zero-inated Binomial Data for Longitudinal Studies.
abstract: Count reponses with structural zeros are very common in medical and psychosocial research, especially in alcohol and HIV research, and the zero-inflated poisson (ZIP) and zero-inflated negative binomial (ZINB) models are widely used for modeling such outcomes. However, as alcohol drinking outcomes such as days of drinkings are counts within a given period, their distributions are bounded above by an upper limit (total days in the period) and thus inherently follow a binomial or zero-inflated binomial (ZIB) distribution, rather than a Poisson or zero-inflated Poisson (ZIP) distribution, in the presence of structural zeros. In this paper, we develop a new semiparametric approach for modeling zero-inflated binomial (ZIB)-like count responses for cross-sectional as well as longitudinal data. We illustrate this approach with both simulated and real study data.
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, Rochester, NY 14642, USA.
authors.forename: H
authors.initials: H
authors.lastname: He
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, Rochester, NY 14642, USA.
authors.forename: W J
authors.initials: WJ
authors.lastname: Wang
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, Rochester, NY 14642, USA ; College of Basic Science and Information Engineering, Yunnan Agricultural University, Kunming, Yunnan, China, 650201.
authors.forename: J
authors.initials: J
authors.lastname: Hu
authors.affiliation: Department of Mathematics and Applied Statistics, West Chester University, West Chester, PA 19383, USA.
authors.forename: R
authors.initials: R
authors.lastname: Gallop
authors.affiliation: Department of Psychiatry, University of Pennsylvania, Philadelphia, PA 19104, USA.
authors.forename: P
authors.initials: P
authors.lastname: Crits-Christoph
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, Rochester, NY 14642, USA.
authors.forename: Y L
authors.initials: YL
authors.lastname: Xia
keywords: Bounded count response; COMBINE Study; Distribution-free models; Generalized Estimating Equations; Structural zero; Zero-inated binomial (ZIB)