
Functional analysis of variance involves testing for differences in functional means across kk groups in nn functional responses. If a significant overall difference in the mean curves is detected, one may want to identify the location of these differences. Cox and Lee (2008) proposed performing a point-wise test and applying the Westfall–Young multiple comparison correction. We propose an alternative procedure for identifying regions of significant difference in the functional domain. Our procedure is based on a region-wise test and application of a combining function along with the closure multiplicity adjustment principle. We give an explicit formulation of how to implement our method and show that it performs well in a simulation study. The use of the new method is illustrated with an analysis of spectral responses related to vegetation changes from a CO2 release experiment.
- Functional data analysis,
- Multiple comparison procedure,
- Permutation method,
- Distance-based method
Available at: http://works.bepress.com/vsevolozhskaya/7/
Copyright © 2013 Elsevier B.V. All rights reserved.
This manuscript version is made available under the CC‐BY‐NC‐ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/