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Activity Number: 204
Type: Contributed
Date/Time: Monday, August 1, 2016 : 11:35 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract #321691
Title: Significance Tests for Time-Varying Covariate Effect in Longitudinal Functional Data
Author(s): Saebitna Oh* and Ana-Maria Staicu
Companies: North Carolina State University and North Carolina State University
Keywords: Longitudinal data ; Functional data ; Pseudo F test
Abstract:

We consider time-varying functional regression models to describe associations between longitudinal functional responses, where functions are observed at multiple instances (often visit times) per subject for many subjects, and subject specific covariates. We develop inferential methods to assess the significance of the time-varying covariate effect. We propose a pseudo F- testing procedure that accounts for the complex error structure and is computationally efficient. Numerical studies confirm that the testing approach has the correct size and compares favorably with available competitors in terms of power. The methods are illustrated on a data application.


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