Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data
The Hotelling T-squared statistic has been widely used for the testing of differences in means for the multivariate data. The existing statistic under classical statistics is applied when observations in multivariate data are determined, precise, and exact. In practice, it is not necessary that all...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Analytical Methods in Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2020/1406028 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554374947143680 |
|---|---|
| author | Muhammad Aslam Osama H. Arif |
| author_facet | Muhammad Aslam Osama H. Arif |
| author_sort | Muhammad Aslam |
| collection | DOAJ |
| description | The Hotelling T-squared statistic has been widely used for the testing of differences in means for the multivariate data. The existing statistic under classical statistics is applied when observations in multivariate data are determined, precise, and exact. In practice, it is not necessary that all observations in the data are determined and precise due to measurement in complex situations and under uncertainty environment. In this paper, we will introduce the Hotelling T-squared statistic under neutrosophic statistics (NS) which is the generalization of classical statistics and applied under uncertainty environment. We will discuss the application and advantage of the neutrosophic Hotelling T-squared statistic with the aid of data. From the comparison, we will conclude that the proposed statistic is more adequate and effective in uncertainty. |
| format | Article |
| id | doaj-art-9dc9603b26344232aac3404eefd63c38 |
| institution | Kabale University |
| issn | 2090-8865 2090-8873 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Analytical Methods in Chemistry |
| spelling | doaj-art-9dc9603b26344232aac3404eefd63c382025-02-03T05:51:47ZengWileyJournal of Analytical Methods in Chemistry2090-88652090-88732020-01-01202010.1155/2020/14060281406028Multivariate Analysis under Indeterminacy: An Application to Chemical Content DataMuhammad Aslam0Osama H. Arif1Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaThe Hotelling T-squared statistic has been widely used for the testing of differences in means for the multivariate data. The existing statistic under classical statistics is applied when observations in multivariate data are determined, precise, and exact. In practice, it is not necessary that all observations in the data are determined and precise due to measurement in complex situations and under uncertainty environment. In this paper, we will introduce the Hotelling T-squared statistic under neutrosophic statistics (NS) which is the generalization of classical statistics and applied under uncertainty environment. We will discuss the application and advantage of the neutrosophic Hotelling T-squared statistic with the aid of data. From the comparison, we will conclude that the proposed statistic is more adequate and effective in uncertainty.http://dx.doi.org/10.1155/2020/1406028 |
| spellingShingle | Muhammad Aslam Osama H. Arif Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data Journal of Analytical Methods in Chemistry |
| title | Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data |
| title_full | Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data |
| title_fullStr | Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data |
| title_full_unstemmed | Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data |
| title_short | Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data |
| title_sort | multivariate analysis under indeterminacy an application to chemical content data |
| url | http://dx.doi.org/10.1155/2020/1406028 |
| work_keys_str_mv | AT muhammadaslam multivariateanalysisunderindeterminacyanapplicationtochemicalcontentdata AT osamaharif multivariateanalysisunderindeterminacyanapplicationtochemicalcontentdata |