A Nonparametric Graphical Tests of Significance in Functional GLM
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
A Nonparametric Graphical Tests of Significance in Functional GLM
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Methodology and Computing in Applied Probability
ISSN
1387-5841
e-ISSN
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Volume of the periodical
2019
Issue of the periodical within the volume
neuvedeno
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000541922000001
EID of the result in the Scopus database
2-s2.0-85076899144