A comparison of tests for the one-way ANOVA problem for functional data

In this paper, some new tests based on the idea of the B-spline test (Shen and Faraway in Stat Sin 14:1239–1257, 2004 ) for the one-way ANOVA problem for functional data are proposed. Eleven existing tests for this problem are also reviewed. Exhaustive simulation studies are presented to compare all...

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Veröffentlicht in:	Computational statistics 2015-12, Vol.30 (4), p.987-1010
Hauptverfasser:	Gorecki, Tomasz, Smaga, Aaukasz
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of variance Computation Computer simulation Data analysis Discriminant analysis Economic Theory/Quantitative Economics/Mathematical Methods Hypotheses Mathematics and Statistics Original Paper Principal components analysis Probability and Statistics in Computer Science Probability Theory and Stochastic Processes Simulation Statistical methods Statistics Stochastic models Time series
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Zusammenfassung:	In this paper, some new tests based on the idea of the B-spline test (Shen and Faraway in Stat Sin 14:1239–1257, 2004 ) for the one-way ANOVA problem for functional data are proposed. Eleven existing tests for this problem are also reviewed. Exhaustive simulation studies are presented to compare all of the tests considered. The simulations are based on real labeled times series data and artificial data. They provide an idea of the size control and power of the tests, and emphasize the differences between them. Illustrative examples of the use of the tests in practice are also given.
ISSN:	0943-4062 1613-9658
DOI:	10.1007/s00180-015-0555-0