The power of visualizing distributional differences: formal graphical n-sample tests
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12220%2F24%3A43908280" target="_blank" >RIV/60076658:12220/24:43908280 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00180-024-01569-z" target="_blank" >https://link.springer.com/article/10.1007/s00180-024-01569-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00180-024-01569-z" target="_blank" >10.1007/s00180-024-01569-z</a>
Alternative languages
Result language
angličtina
Original language name
The power of visualizing distributional differences: formal graphical n-sample tests
Original language description
Classical tests are available for the two-sample test of correspondence of distribution functions. From these, the Kolmogorov–Smirnov test provides also the graphical interpretation of the test results, in different forms. Here, we propose modifications of the Kolmogorov–Smirnov test with higher power. The proposed tests are based on the so-called global envelope test which allows for graphical interpretation, similarly as the Kolmogorov–Smirnov test. The tests are based on rank statistics and are suitable also for the comparison of n samples, with. We compare the alternatives for the two-sample case through an extensive simulation study and discuss their interpretation. Finally, we apply the tests to real data. Specifically, we compare the height distributions between boys and girls at different ages, the sepal length distributions of different flower species, and distributions of standardized residuals from a time series model for different exchange courses using the proposed methodologies.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computational Statistics
ISSN
0943-4062
e-ISSN
1613-9658
Volume of the periodical
neuveden
Issue of the periodical within the volume
neuveden
Country of publishing house
DE - GERMANY
Number of pages
30
Pages from-to
1-30
UT code for WoS article
001349856100002
EID of the result in the Scopus database
2-s2.0-85208500396