The Mann-Whitney Test for Interval-Valued Data
Przemysław Grzegorzewski , Martyna Śpiewak
AbstractThe 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.
|Publication size in sheets||0.55|
|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 English||Interval-valued data, Nonparametric test, p-value, Two-sample test, Wilcoxon test|
|Score||= 15.0, 05-03-2020, ChapterFromConference|
|Publication indicators||= 0; = 1|
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