QREGPD: Stata module to perform Quantile Regression for Panel Data. qregpd can be used to fit the quantile regression for panel data (QRPD) estimator developed in Powell (2015). The estimator addresses a fundamental problem posed by alternative fixed-effect quantile estimators: inclusion of individual fixed effects alters the interpretation of the estimated coefficient on the treatment variable. As detailed in Powell(2016), the QRPD estimator is a special case of the generalized quantile estimator implemented by genqreg. Numerical optimization proceeds via a Nelder-Mead algorithm. As estimation and calculation of standard errors can sometimes pose numerical challenges, the user can estimate generalized quantile regressions using Markov Chain Monte Carlo methods or grid-search methods.
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