A generalization of the Wilcoxon signed-rank test and its applications

S. Taheri () and G. Hesamian ()

Statistical Papers, 2013, vol. 54, issue 2, 457-470

Abstract: This paper extends the Wilcoxon signed-rank test to the case where the available observations are imprecise quantities, rather than crisp. To do this, the associated test statistic is extended, using the α-cuts approach. In addition, the concept of critical value is generalized to the case when the significance level is given by a fuzzy number. Finally, to accept or reject the null hypothesis of interest, a preference degree between two fuzzy sets is employed for comparing the observed fuzzy test statistic and fuzzy critical value. Copyright Springer-Verlag 2013

Keywords: Fuzzy observation; Fuzzy test statistic; Fuzzy critical value; Preference degree; Fuzzy significance level (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s00362-012-0443-4

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