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Activity Number: 194
Type: Contributed
Date/Time: Monday, August 1, 2016 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract #319941
Title: Testing for Interaction in Functional Varying-Coefficient Models
Author(s): Merve Tekbudak*
Companies: North Carolina State University
Keywords: Varying-coefficient model ; Functional regression ; Hypothesis testing ; Likelihood ratio test ; F test

The varying-coefficient model (VCM) is a useful alternative to the additive models for determining the relationship between the covariates and a response, while accounting for interactions. In this article, we consider a functional framework for varying-coefficient models, where a scalar response is regressed on a scalar covariate and a functional covariate, taking the interaction between these covariates into account. Our primary interest is to test for the nullity of the effect of the interaction. We develop the likelihood ratio and the generalized F testing procedures in this framework. Performance of these testing procedures are investigated in a simulation study. We further demonstrate our testing procedures on a real data set.

Authors who are presenting talks have a * after their name.

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