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Title: One-way ANOVA for functional data via globalizing the pointwise F-test
Authors: Zhang, J.-T. 
Liang, X.
Keywords: F-type test
L2-norm-based test
One-way anova for functional data
Pointwise F-test
Welch-Satterthwaite χ2-approximation
Issue Date: Mar-2014
Citation: Zhang, J.-T., Liang, X. (2014-03). One-way ANOVA for functional data via globalizing the pointwise F-test. Scandinavian Journal of Statistics 41 (1) : 51-71. ScholarBank@NUS Repository.
Abstract: In this paper, we propose and study a new global test, namely, GPF test, for the one-way anova problem for functional data, obtained via globalizing the usual pointwise F-test. The asymptotic random expressions of the test statistic are derived, and its asymptotic power is investigated. The GPF test is shown to be root-n consistent. It is much less computationally intensive than a parametric bootstrap test proposed in the literature for the one-way anova for functional data. Via some simulation studies, it is found that in terms of size-controlling and power, the GPF test is comparable with two existing tests adopted for the one-way anova problem for functional data. A real data example illustrates the GPF test.© 2013 Board of the Foundation of the Scandinavian Journal of Statistics.
Source Title: Scandinavian Journal of Statistics
ISSN: 03036898
DOI: 10.1111/sjos.12025
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