Single-index varying coefficient model for functional responses.

ABSTRACT: Recently, massive functional data have been widely collected over space across a set of grid points in various imaging studies. It is interesting to correlate functional data with various clinical variables, such as age and gender, in order to address scientific questions of interest. The aim of this article is to develop a single-index varying coefficient (SIVC) model for establishing a varying association between functional responses (e.g., image) and a set of covariates. It enjoys several unique features of both varying-coefficient and single-index models. An estimation procedure is developed to estimate varying coefficient functions, the index function, and the covariance function of individual functions. The optimal integration of information across different grid points is systematic

SUBMITTER: Luo X 

PROVIDER: S-EPMC5055851 | biostudies-literature | 2016 Dec

REPOSITORIES: biostudies-literature