A ONE-WAY ANOVA TEST FOR FUNCTIONAL DATAWITH GRAPHICAL INTERPRETATION

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

A ONE-WAY ANOVA TEST FOR FUNCTIONAL DATAWITH GRAPHICAL INTERPRETATION

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A ONE-WAY ANOVA TEST FOR FUNCTIONAL DATAWITH GRAPHICAL INTERPRETATION

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

<a href="/cs/project/GA19-04412S" target="_blank" >GA19-04412S: Nové přístupy k modelování a statistice náhodných množin</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Kybernetika

ISSN

0023-5954

e-ISSN

—

Svazek periodika

56

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

17

Strana od-do

432-458

Kód UT WoS článku

000552863200003

EID výsledku v databázi Scopus

2-s2.0-85091814451