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Activity Number: 599 - Resampling Methods for High-Dimensional Inference
Type: Topic Contributed
Date/Time: Thursday, August 1, 2019 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract #305307 Presentation
Title: One-Way Functional ANOVA via Basis Expansion and Bootstrapping
Author(s): Zhenhua Lin* and Miles Lopes and Hans Mueller
Companies: University of California, Davis and UC Davis and UC Davis
Keywords: bootstrapping; high-dimension; functional data analysis; ANOVA; variance decay; hypothesis test

We propose a new approach to the problem of one-way ANOVA for functional data based on basis expansion and our recent development of multiplier bootstrap for high-dimensional data with weak variance decay. We show that, the test not only admits the root-n consistency, but also has a size of a nearly parametric rate. Numerically, we demonstrate that it is comparable to existing tests in general situations, while exhibits a clear advantage when the problem is hard in the sense that the functional data are rough and/or the signals are weak.

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

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