A ONE-WAY ANOVA TEST FOR FUNCTIONAL DATAWITH GRAPHICAL INTERPRETATION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F20%3A43900921" target="_blank" >RIV/60076658:12510/20:43900921 - isvavai.cz</a>
Result on the web
<a href="https://www.kybernetika.cz/content/2020/3/432/paper.pdf" target="_blank" >https://www.kybernetika.cz/content/2020/3/432/paper.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2020-3-0432" target="_blank" >10.14736/kyb-2020-3-0432</a>

Result language
angličtina
Original language name
A ONE-WAY ANOVA TEST FOR FUNCTIONAL DATAWITH GRAPHICAL INTERPRETATION
Original language 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 Myllym ̈aki et al. (2017, Globalenvelope 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 sam-ples of functions. If a mean function computed from the empirical data is out of the givenenvelope, the null hypothesis is rejected with the predetermined significance levelα. The ad-vantages of the proposed one-way functional ANOVA are that it identifies the domains of thefunctions which are responsible for the potential rejection. We introduce two versions of thistest: the first gives a graphical interpretation of the test results in the original space of the func-tions and the second immediately offers a post-hoc test by identifying the significant pair-wisedifferences between groups. The proposed tests rely on discretization of the functions, thereforethe tests are also applicable in the multidimensional ANOVA problem. In the empirical partof the article, we demonstrate the use of the method by analyzing fiscal decentralization inEuropean countriees.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10103 - Statistics and probability

Project
<a href="/en/project/GA19-04412S" target="_blank" >GA19-04412S: New approaches to modeling and statistics of random sets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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