Analysis of Binary Longitudinal Data with Time-Varying Coefficients Lead Investigator: Seonghyun Jeong Institution : North Carolina State University E-Mail : sjeong4@ncsu.edu Proposal ID : 773 Proposal Description: This research considers the analysis of longitudinal data where a binary response variable is observed repeatedly for each subject over time. In analyzing such data, the common assumption that regression coefficients are constant over time may need to be relaxed to account for time-varying effects of some subject characteristics. This research provides a Bayesian method to estimate time-varying coefficient models with random effects to account for subject specific effects of binary longitudinal data as well as between/within-subject variation. The method capitalizes on the method of partial collapse and the basis search technique, thereby facilitating posterior computation and accommodating spatially inhomogeneous curvature of nonparametric functions, while avoiding overfitting. The proposed methods will be illustrated with a simulated study and a real data set.