The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization
The classical independent t-test is often in jeopardy when the assumptions of normality or homogeneity of variances being violated. The test performs worsen when these violations occur simultaneously. Alexander-Govern test offers the alternative solution to the classical t-test when dealing with het...
| Hoofdauteurs: | , , |
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| Formaat: | Artikel |
| Taal: | English |
| Gepubliceerd in: |
IJENS Publisher, Rawalpindi, Pakistan
2017
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| Onderwerpen: | |
| Online toegang: | https://repo.uum.edu.my/id/eprint/30956/1/IJBAS%2017%2006%202017%2001-06.pdf |
| _version_ | 1825806275252846592 |
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| author | Abdullah, Suhaida Syed Yahaya, Sharipah Soaad Md Yusof, Zahayu |
| author_facet | Abdullah, Suhaida Syed Yahaya, Sharipah Soaad Md Yusof, Zahayu |
| author_sort | Abdullah, Suhaida |
| collection | UUM |
| description | The classical independent t-test is often in jeopardy when the assumptions of normality or homogeneity of variances being violated. The test performs worsen when these violations occur simultaneously. Alexander-Govern test offers the alternative solution to the classical t-test when dealing with heterogeneous variances conditions. However, it produces good control of Type I error rates only if the data are normally distributed, which is a known fact that normality is hardly achieved in real life situation. As a remedy, in this study, we modify the Alexander-Govern test using trimmed mean and Winsorized mean as the location measures. Generally, the modified test using trimmed mean performs better compared to the original test in terms of Type I error rates. However, the test using Winsorized mean failed to control the Type I error rate well under most condition considered |
| first_indexed | 2024-07-04T06:46:56Z |
| format | Article |
| id | uum-30956 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:46:56Z |
| publishDate | 2017 |
| publisher | IJENS Publisher, Rawalpindi, Pakistan |
| record_format | eprints |
| spelling | uum-309562024-07-04T01:37:14Z https://repo.uum.edu.my/id/eprint/30956/ The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization Abdullah, Suhaida Syed Yahaya, Sharipah Soaad Md Yusof, Zahayu QA Mathematics The classical independent t-test is often in jeopardy when the assumptions of normality or homogeneity of variances being violated. The test performs worsen when these violations occur simultaneously. Alexander-Govern test offers the alternative solution to the classical t-test when dealing with heterogeneous variances conditions. However, it produces good control of Type I error rates only if the data are normally distributed, which is a known fact that normality is hardly achieved in real life situation. As a remedy, in this study, we modify the Alexander-Govern test using trimmed mean and Winsorized mean as the location measures. Generally, the modified test using trimmed mean performs better compared to the original test in terms of Type I error rates. However, the test using Winsorized mean failed to control the Type I error rate well under most condition considered IJENS Publisher, Rawalpindi, Pakistan 2017 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/30956/1/IJBAS%2017%2006%202017%2001-06.pdf Abdullah, Suhaida and Syed Yahaya, Sharipah Soaad and Md Yusof, Zahayu (2017) The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization. International Journal of Basic & Applied Sciences, 17 (6). pp. 1-6. ISSN 2077-1223 https://www.ijens.org/ijbas.html |
| spellingShingle | QA Mathematics Abdullah, Suhaida Syed Yahaya, Sharipah Soaad Md Yusof, Zahayu The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization |
| title | The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization |
| title_full | The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization |
| title_fullStr | The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization |
| title_full_unstemmed | The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization |
| title_short | The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization |
| title_sort | robust test statistic in comparing two independent groups using trimming and winsorization |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/30956/1/IJBAS%2017%2006%202017%2001-06.pdf |
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