A Nonparametric Graphical Tests of Significance in Functional GLM

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F21%3A43899529" target="_blank" >RIV/60076658:12510/21:43899529 - 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>

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.

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

2021

Kód důvěrnosti údajů

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

Název periodika

Methodology and Computing in Applied Probability

ISSN

1387-5841

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

20

Strana od-do

593-612

Kód UT WoS článku

000541922000001

EID výsledku v databázi Scopus

2-s2.0-85076899144