Neutrosophic test of linearity with application-Reference-Cited by-同舟云学术

Neutrosophic test of linearity with application

Published:2023 Issue:4 Volume:8 Page:7981-7989
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Aslam Muhammad¹,Saleem Muhammad²

Affiliation:

1. Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia

2. Department of Industrial Engineering, Faculty of Engineering-Rabigh, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

<abstract> <p>The existing F-test of linearity cannot be applied when data has indeterminacy and uncertainty. The present paper introduces the F-test of testing linearity under neutrosophic statistics. We will develop F-test under neutrosophic statistics and neutrosophic analysis of the variance (NANOVA) table. The application of the proposed test will be given using the data of dry bulb temperature and relative humidity. From the analysis and comparison studies, it is found that the proposed F-test under neutrosophic statistics gives the results in indeterminate intervals and measures of indeterminacy. In addition, the proposed test is more flexible, adequate, and more informative than the F-test under classical statistics.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference38 articles.

1. S. Ghosal, Prediction of the number of deaths in India due to SARS-CoV-2 at 5–6 weeks, Diabetes Metab. Synd., 2020.

2. S. Biedermann, H. Dette, Testing linearity of regression models with dependent errors by kernel based methods, Test, 9 (2000), 417–438. https://doi.org/10.1007/BF02595743

3. T. Panagiotidis, Testing the assumption of linearity, Econ. B., 3 (2002), 1–9.

4. S. Niermann, Testing for linearity in simple regression models, AStA-Adv. Stat. Anal., 91 (2007), 129. https://doi.org/10.1007/s10182-007-0025-2

5. S. Wang, H. Cui, Generalized F test for high dimensional linear regression coefficients, J. Multivariate Anal., 117 (2013), 134–149. https://doi.org/10.1016/j.jmva.2013.02.010

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fuzzy logic control for watering system;Scientific Reports;2023-10-28

2. Chi-square test for imprecise data in consistency table;Frontiers in Applied Mathematics and Statistics;2023-10-19

3. Robust-stein estimator for overcoming outliers and multicollinearity;Scientific Reports;2023-06-05