Neutrosophic test of linearity with application

Muhammad Aslam; Muhammad Saleem; Muhammad Aslam; Muhammad Saleem

doi:10.3934/math.2023402

AIMS Mathematics

2023, Volume 8, Issue 4: 7981-7989. doi: 10.3934/math.2023402

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Neutrosophic test of linearity with application

Muhammad Aslam ^{1
,
,},
Muhammad Saleem ²

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

Received: 30 September 2022 Revised: 29 December 2022 Accepted: 10 January 2023 Published: 31 January 2023
MSC : 62A86

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.
- F-test,
- classical statistics,
- indeterminacy,
- regression,
- the level of significance
Citation: Muhammad Aslam, Muhammad Saleem. Neutrosophic test of linearity with application[J]. AIMS Mathematics, 2023, 8(4): 7981-7989. doi: 10.3934/math.2023402

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Abstract

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.

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