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A new neutrosophic sign test: An application to COVID-19 data

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  • Rehan Ahmad Khan Sherwani
  • Huma Shakeel
  • Muhammad Saleem
  • Wajiha Batool Awan
  • Muhammad Aslam
  • Muhammad Farooq

Abstract

The Sign test is a famous nonparametric test from classical statistics used to assess the one or two sample averages. The test is practical when the sample size is small, or the distributional assumption under a parametric test does not satisfy. One of the limitations of the Sign test is the exact form of the data, and the existing methodology of the test does not cover the interval-valued data. The interval-valued data often comes from the fuzzy logic where the experiment’s information is not sure and possesses some kind of vagueness, uncertainty or indeterminacy. This research proposed a modified version of the Sign test by considering the indeterminate state and the exact form of the data—the newly proposed sign test methodology is designed for both one-sample and two-sample hypothesis testing problems. The performance of the proposed modified versions of the Sign test is evaluated through two real-life data examples comprised of covid-19 reproduction rate and covid-positive daily occupancy in ICU in Pakistan. The findings of the study suggested that our proposed methodologies are suitable in nonparametric decision-making problems with an interval–valued data. Therefore, applying the new neutrosophic sign test is explicitly recommended in biomedical sciences, engineering, and other statistical fields under an indeterminate environment.

Suggested Citation

  • Rehan Ahmad Khan Sherwani & Huma Shakeel & Muhammad Saleem & Wajiha Batool Awan & Muhammad Aslam & Muhammad Farooq, 2021. "A new neutrosophic sign test: An application to COVID-19 data," PLOS ONE, Public Library of Science, vol. 16(8), pages 1-8, August.
  • Handle: RePEc:plo:pone00:0255671
    DOI: 10.1371/journal.pone.0255671
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    References listed on IDEAS

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    1. Srđan Marinković, 2014. "Non-Parametric Sign Test And Paired Samples Test Of Effectiveness Of Official Fx Intervention," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 59(202), pages 107-130, July – Se.
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    Cited by:

    1. Cui Zhang & Dandan Zhang, 2023. "Spatial Interactions and the Spread of COVID-19: A Network Perspective," Computational Economics, Springer;Society for Computational Economics, vol. 62(1), pages 383-405, June.

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