A Nonparametric Graphical Tests of Significance in Functional GLM
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F19%3A43899529" target="_blank" >RIV/60076658:12510/19:43899529 - isvavai.cz</a>
Výsledek na webu
<a href="https://link.springer.com/article/10.1007/s11009-019-09756-y" target="_blank" >https://link.springer.com/article/10.1007/s11009-019-09756-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11009-019-09756-y" target="_blank" >10.1007/s11009-019-09756-y</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
A Nonparametric Graphical Tests of Significance in Functional GLM
Popis výsledku v původním jazyce
A new nonparametric graphical test of significance of a covariate in functional GLM is proposed. Our approach is especially interesting due to its functional graphical interpretation of the results. As such, it is able to find not only if the factor of interest is significant but also which functional domain is responsible for the potential rejection. In the case of functional multi-way main effect ANOVA or functional main effect ANCOVA models it is able to find which groups differ (and where they differ), in the case of functional factorial ANOVA or functional factorial ANCOVA models it is able to find which combination of levels (which interactions) differ (and where they differ). The described tests are extensions of global envelope tests in the GLM models. It applies Freedman-Lane algorithm for the permutation of functions, and as such, it approximately achieves the desired significance level.
Název v anglickém jazyce
A Nonparametric Graphical Tests of Significance in Functional GLM
Popis výsledku anglicky
A new nonparametric graphical test of significance of a covariate in functional GLM is proposed. Our approach is especially interesting due to its functional graphical interpretation of the results. As such, it is able to find not only if the factor of interest is significant but also which functional domain is responsible for the potential rejection. In the case of functional multi-way main effect ANOVA or functional main effect ANCOVA models it is able to find which groups differ (and where they differ), in the case of functional factorial ANOVA or functional factorial ANCOVA models it is able to find which combination of levels (which interactions) differ (and where they differ). The described tests are extensions of global envelope tests in the GLM models. It applies Freedman-Lane algorithm for the permutation of functions, and as such, it approximately achieves the desired significance level.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10103 - Statistics and probability
Návaznosti výsledku
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)
Ostatní
Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Methodology and Computing in Applied Probability
ISSN
1387-5841
e-ISSN
—
Svazek periodika
2019
Číslo periodika v rámci svazku
neuvedeno
Stát vydavatele periodika
NL - Nizozemsko
Počet stran výsledku
20
Strana od-do
1-20
Kód UT WoS článku
000541922000001
EID výsledku v databázi Scopus
2-s2.0-85076899144