Multilevel functional data is collected in many biomedical studies. For example, in a study of the effect of Nimodipine on patients with subarachnoid hemorrhage (SAH), patients underwent multiple 4-hour treatment cycles. Within each treatment cycle, subjects' vital signs were reported every 10 minutes. This data has a natural multilevel structure with treatment cycles nested within subjects and...

Abstract Background Generalized linear mixed models (GLMMs), typically used for analyzing correlated data, can also be smoothing by considering the knot coefficients from a regression spline as random effects. The resulting are called semiparametric (SPMMs). Allowing to follow normal distribution with mean zero and constant variance is equivalent using penalized ridge type penalty. We introduce...

With the development of biotechnology, high-throughput studies on protein-protein, protein-gene, and gene-gene interactions become possible and attract remarkable attention. To explore the interactions in dynamic gene regulatory networks, we propose a single-index ordinary differential equation (ODE) model and develop a variable selection procedure. We employ the smoothly clipped absolute devia...