On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models
A bewildering large number of test statistics have been found for testing the presence of an outlier in multiple linear regression models. Exact critical values of these test statistics are not available, and approximate ones are usually obtained by the first-order Bonferroni upper bound or large-sc...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1478843 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849307352576032768 |
|---|---|
| author | Tobias Ejiofor Ugah Emmanuel Ikechukwu Mba Micheal Chinonso Eze Kingsley Chinedu Arum Ifeoma Christy Mba Henrietta Ebele Oranye |
| author_facet | Tobias Ejiofor Ugah Emmanuel Ikechukwu Mba Micheal Chinonso Eze Kingsley Chinedu Arum Ifeoma Christy Mba Henrietta Ebele Oranye |
| author_sort | Tobias Ejiofor Ugah |
| collection | DOAJ |
| description | A bewildering large number of test statistics have been found for testing the presence of an outlier in multiple linear regression models. Exact critical values of these test statistics are not available, and approximate ones are usually obtained by the first-order Bonferroni upper bound or large-scale simulations. In this paper, we show that the upper bound values of two of these test statistics are algebraically the same. An application to real data for multiple linear regression is used to demonstrate the procedure. |
| format | Article |
| id | doaj-art-28dc627aeb004737bb15f73c8e234110 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-28dc627aeb004737bb15f73c8e2341102025-08-20T03:54:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422021-01-01202110.1155/2021/14788431478843On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression ModelsTobias Ejiofor Ugah0Emmanuel Ikechukwu Mba1Micheal Chinonso Eze2Kingsley Chinedu Arum3Ifeoma Christy Mba4Henrietta Ebele Oranye5University of Nigeria, Nsukka, NigeriaUniversity of Nigeria, Nsukka, NigeriaUniversity of Nigeria, Nsukka, NigeriaUniversity of Nigeria, Nsukka, NigeriaUniversity of Nigeria, Nsukka, NigeriaUniversity of Nigeria, Nsukka, NigeriaA bewildering large number of test statistics have been found for testing the presence of an outlier in multiple linear regression models. Exact critical values of these test statistics are not available, and approximate ones are usually obtained by the first-order Bonferroni upper bound or large-scale simulations. In this paper, we show that the upper bound values of two of these test statistics are algebraically the same. An application to real data for multiple linear regression is used to demonstrate the procedure.http://dx.doi.org/10.1155/2021/1478843 |
| spellingShingle | Tobias Ejiofor Ugah Emmanuel Ikechukwu Mba Micheal Chinonso Eze Kingsley Chinedu Arum Ifeoma Christy Mba Henrietta Ebele Oranye On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models Journal of Applied Mathematics |
| title | On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models |
| title_full | On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models |
| title_fullStr | On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models |
| title_full_unstemmed | On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models |
| title_short | On the Upper Bounds of Test Statistics for a Single Outlier Test in Linear Regression Models |
| title_sort | on the upper bounds of test statistics for a single outlier test in linear regression models |
| url | http://dx.doi.org/10.1155/2021/1478843 |
| work_keys_str_mv | AT tobiasejioforugah ontheupperboundsofteststatisticsforasingleoutliertestinlinearregressionmodels AT emmanuelikechukwumba ontheupperboundsofteststatisticsforasingleoutliertestinlinearregressionmodels AT michealchinonsoeze ontheupperboundsofteststatisticsforasingleoutliertestinlinearregressionmodels AT kingsleychineduarum ontheupperboundsofteststatisticsforasingleoutliertestinlinearregressionmodels AT ifeomachristymba ontheupperboundsofteststatisticsforasingleoutliertestinlinearregressionmodels AT henriettaebeleoranye ontheupperboundsofteststatisticsforasingleoutliertestinlinearregressionmodels |