Premium
The sign test and the signed‐rank test for interval‐valued data
Author(s) -
Grzegorzewski Przemyslaw,
Śpiewak Martyna
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22134
Subject(s) - sign test , ontic , sign (mathematics) , mathematics , test (biology) , rank (graph theory) , interval (graph theory) , inference , sample (material) , statistical hypothesis testing , statistics , interval data , wilcoxon signed rank test , combinatorics , computer science , artificial intelligence , mann–whitney u test , mathematical analysis , paleontology , biology , data envelopment analysis , philosophy , chemistry , epistemology , chromatography
Two versions of the generalized sign test and the signed‐rank test for interval‐valued data (both for one‐sample and paired two‐sample problem) are proposed. These two versions correspond to different possible views on the interval outcomes of the experiment—either the epistemic or the ontic one. Each view yields its own approach to data analysis which results in different test construction and the way of carrying on the statistical inference.