Abstract
The existing t-test for testing the significance of the regression coefficient is applied when cent percent observations of the data are precise, exact and uncertain. In practice, the measurement data or data recorded in an uncertain environment do not have all precise observations. The imprecise data cannot be analyzed using the existing t-test for testing the significance of the regression coefficient. In this paper, we will present the design of a t-test for testing the significance of the regression coefficient under neutrosophic statistics. The proposed t-test for testing the significance of the regression coefficient can be applied to imprecise data. The effect of the degree of uncertainty on the power of the test will be studied. The proposed t-test for testing the significance of the regression coefficient will be applied using the imprecise data. From the analysis, it is concluded that the proposed t-test for testing the significance of the regression coefficient will be informative, flexible and adequate to be applied to imprecise data.
References
- [1] R. Alhabib and A. Salama, The neutrosophic time series-study its models (linearlogarithmic) and test the coefficients significance of its linear model, Neutrosophic Sets Syst. 33, 105-115, 2020. [2] M. Aslam, Neutrosophic F-Test for two counts of data from the Poisson distribution with application in climatology, Stats 5 (3), 773-783, 2022. [3] V. Bewick, L. Cheek and J. Ball, Statistics review 7: Correlation and regression, Crit. Care 7, 1-9, 2003. [4] S. Broumi, S. Krishna Prabha and V. Uluçay, Interval-valued Fermatean neutrosophic shortest path problem via score function, Neutrosophic syst. appl. 11, 1-10, 2023. [5] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali and F. Smarandache, Complex fermatean neutrosophic graph and application to decision making, Decis. Mak. Appl. Manag. Eng. 6 (1), 474-501, 2023.
Abstract
References
- [1] R. Alhabib and A. Salama, The neutrosophic time series-study its models (linearlogarithmic) and test the coefficients significance of its linear model, Neutrosophic Sets Syst. 33, 105-115, 2020. [2] M. Aslam, Neutrosophic F-Test for two counts of data from the Poisson distribution with application in climatology, Stats 5 (3), 773-783, 2022. [3] V. Bewick, L. Cheek and J. Ball, Statistics review 7: Correlation and regression, Crit. Care 7, 1-9, 2003. [4] S. Broumi, S. Krishna Prabha and V. Uluçay, Interval-valued Fermatean neutrosophic shortest path problem via score function, Neutrosophic syst. appl. 11, 1-10, 2023. [5] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali and F. Smarandache, Complex fermatean neutrosophic graph and application to decision making, Decis. Mak. Appl. Manag. Eng. 6 (1), 474-501, 2023.
Details
| Primary Language | English |
|---|---|
| Subjects | Forensic Evaluation, Inference and Statistics, Large and Complex Data Theory, Soft Computing |
| Journal Section | Statistics |
| Authors | |
| Early Pub Date | August 3, 2024 |
| Publication Date | |
| Published in Issue | Year 2024 Early Access |