The power of visualizing distributional differences: formal graphical n-sample tests

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

The power of visualizing distributional differences: formal graphical n-sample tests

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

The power of visualizing distributional differences: formal graphical n-sample tests

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Computational Statistics

ISSN

0943-4062

e-ISSN

1613-9658

Svazek periodika

neuveden

Číslo periodika v rámci svazku

neuveden

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

30

Strana od-do

1-30

Kód UT WoS článku

001349856100002

EID výsledku v databázi Scopus

2-s2.0-85208500396