The Mann-Whitney Test for Interval-Valued Data

Przemysław Grzegorzewski , Martyna Śpiewak

Abstract

The Mann-Whitney test for the two-sample location problem is considered. We adopt this nonparametric test to interval-valued data perceived from the epistemic perspective, where the available observations are just interval-valued perceptions of the unknown true outcomes of the experiment. Unlike typical generalizations of statistical procedures into the interval-valued framework, the proposed test entails very low computational costs. However, the presence of interval-valued data results in set-valued p-value which leads no longer to a definite binary decision (reject or not reject the null hypothesis) but may indicate the abstention from making a final decision if the information is too vague.
Author Przemysław Grzegorzewski (FMIS / DIE)
Przemysław Grzegorzewski,,
- Department of Integral Equations
, Martyna Śpiewak (FMIS) - [National Information Processing Institute (OPI)]
Martyna Śpiewak,,
- Faculty of Mathematics and Information Science
- Ośrodek Przetwarzania Informacji
Pages188-199
Publication size in sheets0.55
Book Kacprzyk Janusz, Szmidt Eulalia, Zadrożny Sławomir, Atanassov Krassimir T., Krawczak Maciej (eds.): Advances in Fuzzy Logic and Technology 2017, Advances in Intelligent Systems and Computing, vol. 642, no. 2, 2018, Springer International Publishing, ISBN 978-3-319-66823-9, [978-3-319-66824-6], DOI:10.1007/978-3-319-66824-6
Keywords in EnglishInterval-valued data, Nonparametric test, p-value, Two-sample test, Wilcoxon test
DOIDOI:10.1007/978-3-319-66824-6_17
URL https://link.springer.com/chapter/10.1007/978-3-319-66824-6_17
Languageen angielski
Score (nominal)15
ScoreMinisterial score = 15.0, 29-05-2019, ChapterFromConference
Ministerial score (2013-2016) = 15.0, 30-04-2019, ChapterFromConference
Publication indicators WoS Citations = 0; Scopus Citations = 1
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