Branch Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2024

Abstract

The classical Jonckheere trend test is a non-parametric statistical tool usually employed to compare the medians of multiple independent groups, especially when there is a natural ordering or trend among the groups. This paper aims to develop a more comprehensive and adaptable version of the Jonckheere trend test, called the neutrosophic Jonckheere trend test (NJT), which can be used to analyze di_erent types of uncertainty data. This paper discusses neutrosophic hypotheses and decision rules pertaining to the NJT test. Furthermore, the practical uses of the NJT test have been discussed in the context of real-world applications with COVID-19 data. Lastly, a simulation study is carried out to evaluate the e_ectiveness of the proposed test in terms of Type I error and test power. The results validate that the proposed test is more e_ective and adaptable than the existing test in uncertain environments.

Publication Title

International Journal of Analysis and Applications

Volume

22

First Page

1

Last Page

13

Language (ISO)

English

Keywords

jonckheere trend test, neutrosophic statistics, simulation study, type I error, test power

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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