A one-way ANOVA test for functional data with graphical interpretation

Title:

A one-way ANOVA test for functional data with graphical interpretation

Creator:

Mrkvička, Tomáš, Myllymäki, Mari, Jílek, Milan, and Hahn, Ute

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:333b3b01-6821-43ca-9325-72420c1531d7
uuid:333b3b01-6821-43ca-9325-72420c1531d7
doi:10.14736/kyb-2020-3-0432

Subject:

global envelope test, groups comparison, permutation test, Europe, fiscal decentralization, and nonparametrical methods

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A new functional ANOVA test, with a graphical interpretation of the result, is presented. The test is an extension of the global envelope test introduced by Myllymäki et al. (2017, Global envelope tests for spatial processes, J. R. Statist. Soc. B 79, 381-404, doi: 10.1111/rssb.12172). The graphical interpretation is realized by a global envelope which is drawn jointly for all samples of functions. If a mean function computed from the empirical data is out of the given envelope, the null hypothesis is rejected with the predetermined significance level α. The advantages of the proposed one-way functional ANOVA are that it identifies the domains of the functions which are responsible for the potential rejection. We introduce two versions of this test: the first gives a graphical interpretation of the test results in the original space of the functions and the second immediately offers a post-hoc test by identifying the significant pair-wise differences between groups. The proposed tests rely on discretization of the functions, therefore the tests are also applicable in the multidimensional ANOVA problem. In the empirical part of the article, we demonstrate the use of the method by analyzing fiscal decentralization in European countries.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

432-458

Source:

Kybernetika | 2020 Volume:56 | Number:3

Harvested from:

CDK

Metadata only:

false