Single Valued Neutrosophic Kruskal-Wallis and Mann Whitney Tests

Abstract

In this paper, Kruskal-Wallis test is extended to deal with neutrosophic data in single valued form using score, accuracy and certainty functions to calculate ranks of SVNNs, also MannWhitney test is extended to deal with same data type which makes it possible to do a post-hoc test after rejecting null hypothesis using Neutrosophic Statistics Kruskal-Wallis test. Numerical examples were successfully solved showing the power of this new idea to deal with SVNNs and make statistical decisions on them.

Keywords

• kruskal-wallis
• test statistic
• chi square distribution
• hypothesis testing
• significance level
• single valued neutrosophic number