Cargando…

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

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 f...

Descripción completa

Detalles Bibliográficos
Autores principales: Sherwani, Rehan Ahmad Khan, Shakeel, Huma, Saleem, Muhammad, Awan, Wajiha Batool, Aslam, Muhammad, Farooq, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8376085/
https://www.ncbi.nlm.nih.gov/pubmed/34411111
http://dx.doi.org/10.1371/journal.pone.0255671
_version_ 1783740434704498688
author Sherwani, Rehan Ahmad Khan
Shakeel, Huma
Saleem, Muhammad
Awan, Wajiha Batool
Aslam, Muhammad
Farooq, Muhammad
author_facet Sherwani, Rehan Ahmad Khan
Shakeel, Huma
Saleem, Muhammad
Awan, Wajiha Batool
Aslam, Muhammad
Farooq, Muhammad
author_sort Sherwani, Rehan Ahmad Khan
collection PubMed
description 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.
format Online
Article
Text
id pubmed-8376085
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-83760852021-08-20 A new neutrosophic sign test: An application to COVID-19 data Sherwani, Rehan Ahmad Khan Shakeel, Huma Saleem, Muhammad Awan, Wajiha Batool Aslam, Muhammad Farooq, Muhammad PLoS One Research Article 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. Public Library of Science 2021-08-19 /pmc/articles/PMC8376085/ /pubmed/34411111 http://dx.doi.org/10.1371/journal.pone.0255671 Text en © 2021 Sherwani et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Sherwani, Rehan Ahmad Khan
Shakeel, Huma
Saleem, Muhammad
Awan, Wajiha Batool
Aslam, Muhammad
Farooq, Muhammad
A new neutrosophic sign test: An application to COVID-19 data
title A new neutrosophic sign test: An application to COVID-19 data
title_full A new neutrosophic sign test: An application to COVID-19 data
title_fullStr A new neutrosophic sign test: An application to COVID-19 data
title_full_unstemmed A new neutrosophic sign test: An application to COVID-19 data
title_short A new neutrosophic sign test: An application to COVID-19 data
title_sort new neutrosophic sign test: an application to covid-19 data
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8376085/
https://www.ncbi.nlm.nih.gov/pubmed/34411111
http://dx.doi.org/10.1371/journal.pone.0255671
work_keys_str_mv AT sherwanirehanahmadkhan anewneutrosophicsigntestanapplicationtocovid19data
AT shakeelhuma anewneutrosophicsigntestanapplicationtocovid19data
AT saleemmuhammad anewneutrosophicsigntestanapplicationtocovid19data
AT awanwajihabatool anewneutrosophicsigntestanapplicationtocovid19data
AT aslammuhammad anewneutrosophicsigntestanapplicationtocovid19data
AT farooqmuhammad anewneutrosophicsigntestanapplicationtocovid19data
AT sherwanirehanahmadkhan newneutrosophicsigntestanapplicationtocovid19data
AT shakeelhuma newneutrosophicsigntestanapplicationtocovid19data
AT saleemmuhammad newneutrosophicsigntestanapplicationtocovid19data
AT awanwajihabatool newneutrosophicsigntestanapplicationtocovid19data
AT aslammuhammad newneutrosophicsigntestanapplicationtocovid19data
AT farooqmuhammad newneutrosophicsigntestanapplicationtocovid19data