Relative power performance of t-test and bootstrap procedure for two-sample
The classical procedures of comparing two groups, such as t-test are, usually restricted with the assumptions of normality and equal variances. When these assumptions are violated, the rates of the Type I errors of the independent samples t-test are affected, particularly when the sample sizes are s...
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Universiti Putra Malaysia Press
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/40432/ http://psasir.upm.edu.my/id/eprint/40432/1/4.%20Relative%20power%20performance%20of%20t-test%20and%20bootstrap%20procedure%20for%20two-sample.pdf |
| _version_ | 1848849423818293248 |
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| author | Ahad, Nor Aishah Abdullah, Suhaida Lai, Choo Heng Mohd. Ali, Nazihah |
| author_facet | Ahad, Nor Aishah Abdullah, Suhaida Lai, Choo Heng Mohd. Ali, Nazihah |
| author_sort | Ahad, Nor Aishah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The classical procedures of comparing two groups, such as t-test are, usually restricted with the assumptions of normality and equal variances. When these assumptions are violated, the rates of the Type I errors of the independent samples t-test are affected, particularly when the sample sizes are small. In this situation, the bootstrap procedure has an advantage over the parametric t-test. In this study, the performances of the bootstrap procedure and the independent sample t-test were investigated. The investigation focused on the power of both the test procedures to compare the two groups under different design specifications for normal and chi-square distributions. The results showed that the bootstrap procedure has a slight edge over the conventional t-test in term of the rate of achieving the benchmark level for both the distributions. In fact, the bootstrap procedure consistently outperformed the conventional t-test across all the combinations of the test conditions. |
| first_indexed | 2025-11-15T09:50:10Z |
| format | Article |
| id | upm-40432 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:50:10Z |
| publishDate | 2012 |
| publisher | Universiti Putra Malaysia Press |
| recordtype | eprints |
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| spelling | upm-404322015-11-04T01:44:36Z http://psasir.upm.edu.my/id/eprint/40432/ Relative power performance of t-test and bootstrap procedure for two-sample Ahad, Nor Aishah Abdullah, Suhaida Lai, Choo Heng Mohd. Ali, Nazihah The classical procedures of comparing two groups, such as t-test are, usually restricted with the assumptions of normality and equal variances. When these assumptions are violated, the rates of the Type I errors of the independent samples t-test are affected, particularly when the sample sizes are small. In this situation, the bootstrap procedure has an advantage over the parametric t-test. In this study, the performances of the bootstrap procedure and the independent sample t-test were investigated. The investigation focused on the power of both the test procedures to compare the two groups under different design specifications for normal and chi-square distributions. The results showed that the bootstrap procedure has a slight edge over the conventional t-test in term of the rate of achieving the benchmark level for both the distributions. In fact, the bootstrap procedure consistently outperformed the conventional t-test across all the combinations of the test conditions. Universiti Putra Malaysia Press 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/40432/1/4.%20Relative%20power%20performance%20of%20t-test%20and%20bootstrap%20procedure%20for%20two-sample.pdf Ahad, Nor Aishah and Abdullah, Suhaida and Lai, Choo Heng and Mohd. Ali, Nazihah (2012) Relative power performance of t-test and bootstrap procedure for two-sample. Pertanika Journal of Science & Technology, 20 (1). pp. 43-52. ISSN 0128-7680; ESSN: 2231-8526 http://www.pertanika.upm.edu.my/Pertanika%20PAPERS/JST%20Vol.%2020%20%281%29%20Jan.%202012/09%20Pg%2043-52.pdf |
| spellingShingle | Ahad, Nor Aishah Abdullah, Suhaida Lai, Choo Heng Mohd. Ali, Nazihah Relative power performance of t-test and bootstrap procedure for two-sample |
| title | Relative power performance of t-test and bootstrap procedure for two-sample |
| title_full | Relative power performance of t-test and bootstrap procedure for two-sample |
| title_fullStr | Relative power performance of t-test and bootstrap procedure for two-sample |
| title_full_unstemmed | Relative power performance of t-test and bootstrap procedure for two-sample |
| title_short | Relative power performance of t-test and bootstrap procedure for two-sample |
| title_sort | relative power performance of t-test and bootstrap procedure for two-sample |
| url | http://psasir.upm.edu.my/id/eprint/40432/ http://psasir.upm.edu.my/id/eprint/40432/ http://psasir.upm.edu.my/id/eprint/40432/1/4.%20Relative%20power%20performance%20of%20t-test%20and%20bootstrap%20procedure%20for%20two-sample.pdf |