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242 – Contributed Poster Presentations: Biometrics
The Evaluation of Integrals of the Form Equation: Application to Correlated Bivariate Logistic-Gaussian Models
Edmund Essah Ameyaw
Department of Mathematics, Howard University
Paul Bezandry
Department of Mathematics, Howard University
Victor Apprey
College of Medicine, Howard University
John Kwagyan
College of Medicine, Howard University
The Logistic-Gaussian distribution is used in statistical applications to account for clustering among binary outcomes. However, its extension and applicability to bivariate outcomes is limited. We developed a model for correlated bivariate binary data that incorporated the Logistic-Gaussian distribution. A bivariate normally distributed variate is decomposed into a product of two univariate normally distributed variate and applied to the development of a correlated bivariate logistic Gaussian model. Bivariate response probabilities in terms of random effects models are formulated, and maximum marginal likelihood estimation procedures based on Gauss-Hermite quadrature are used. Application to the analysis of vision loss in diabetic retinopathy is discussed.