Title: A multiplier bootstrap approach to one-way ANOVA for functional data
Authors: Zhenhua Lin - National University of Singapore (Singapore) [presenting]
Miles Lopes - UC Davis (United States)
Hans-Georg Mueller - University of California Davis (United States)
Abstract: A new approach to the problem of one-way ANOVA for functional data is proposed 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.