  This paper develops a framework for quantile regression in binary
longitudinal data settings. A novel Markov chain Monte Carlo (MCMC) method is
designed to fit the model and its computational efficiency is demonstrated in a
simulation study. The proposed approach is flexible in that it can account for
common and individual-specific parameters, as well as multivariate
heterogeneity associated with several covariates. The methodology is applied to
study female labor force participation and home ownership in the United States.
The results offer new insights at the various quantiles, which are of interest
to policymakers and researchers alike.
