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Activity Number: 20
Type: Topic Contributed
Date/Time: Sunday, August 9, 2015 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #315638 View Presentation
Title: Simple Fixed-Effects Inference for Complex Functional Models
Author(s): So Young Park* and Ana-Maria Staicu and Luo Xiao and Ciprian Crainiceanu
Companies: North Carolina State University and North Carolina State University and The Johns Hopkins University and The Johns Hopkins University
Keywords: correlated functional data ; inference ; fixed effects ; confidence interval ; testing ; aging
Abstract:

We propose simple inferential approaches for the fixed effects in complex functional mixed effects models. We estimate the fixed effects under the independence of functional residuals assumption and then bootstrap independent units (e.g. subjects) to estimate the variability of and conduct inference on the fixed effects parameters. Simulations show excellent coverage probability of the confidence intervals and size of tests. Methods are motivated by and applied to the Baltimore Longitudinal Study of Aging (BLSA), though they are applicable to other studies that collect correlated functional data.


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