Conferencias
Debajyoti Sinha
Florida State University
For longitudinal studies with heavily skewed continuous response, statistical model and methods focusing on mean response are not appropriate. In this paper, we present a partial linear model of median regression function of skewed longitudinal response. We develop a semiparametric Bayesian estimation procedure using an appropriate Dirichlet process mixture prior for the skewed error distribution. We provide justifications of using our methods using theoretical investigation of the support of the prior, asymptotic properties of the posterior and also simulation studies of finite sample properties. Ease of implementation and advantages of our model and method in practice are illustrated via analysis of a cardiotoxicity study of children of HIV infected mother. This a joint work with Drs. S.L.Lipsitz, Y. Tang and D. Pati
