Type I error rates of t-test and T1 statistic under balanced and unbalanced designs
The t-test used prominently for comparing means between two groups is usually restricted with the assumptions of normality and variance homogeneity. However, the violation of the assumptions occurs in many real world data. In this study, two methods of comparing the means of two samples were conduct...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
|
| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/2216/1/Zahayu_Md_Yusuf%2C_Suhaida_Abdullah%2C_Sharipah_Soaad.pdf |
| _version_ | 1803624441395019776 |
|---|---|
| author | Md Yusof, Zahayu Abdullah, Suhaida Syed Yahaya, Sharipah Soaad |
| author_facet | Md Yusof, Zahayu Abdullah, Suhaida Syed Yahaya, Sharipah Soaad |
| author_sort | Md Yusof, Zahayu |
| collection | UUM |
| description | The t-test used prominently for comparing means between two groups is usually restricted with the assumptions of normality and variance homogeneity. However, the violation of the assumptions occurs in many real world data. In this study, two methods of comparing the means of two samples were conducted. The first method used the traditional t-test while the second method used the TI statistic for
comparing means. The performances of the t-test and the TI statistic were evaluated under different conditions. They were sample sizes, type of distributions (normal or non-normal), and unequal group variances. The Type I error rates of the two test statistics were obtained and compared. Based on the investigations, the TI statistic was able to produce good Type I error rates with values near to the nominal level, a = 0.05. |
| first_indexed | 2024-07-04T05:18:26Z |
| format | Conference or Workshop Item |
| id | uum-2216 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:18:26Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | uum-22162016-12-04T07:59:24Z https://repo.uum.edu.my/id/eprint/2216/ Type I error rates of t-test and T1 statistic under balanced and unbalanced designs Md Yusof, Zahayu Abdullah, Suhaida Syed Yahaya, Sharipah Soaad QA Mathematics The t-test used prominently for comparing means between two groups is usually restricted with the assumptions of normality and variance homogeneity. However, the violation of the assumptions occurs in many real world data. In this study, two methods of comparing the means of two samples were conducted. The first method used the traditional t-test while the second method used the TI statistic for comparing means. The performances of the t-test and the TI statistic were evaluated under different conditions. They were sample sizes, type of distributions (normal or non-normal), and unequal group variances. The Type I error rates of the two test statistics were obtained and compared. Based on the investigations, the TI statistic was able to produce good Type I error rates with values near to the nominal level, a = 0.05. 2010 Conference or Workshop Item NonPeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/2216/1/Zahayu_Md_Yusuf%2C_Suhaida_Abdullah%2C_Sharipah_Soaad.pdf Md Yusof, Zahayu and Abdullah, Suhaida and Syed Yahaya, Sharipah Soaad (2010) Type I error rates of t-test and T1 statistic under balanced and unbalanced designs. In: Seminar Kebangsaan Sains Komputer dan Matematik (SKSKM 2010), 21 - 22 Disember 2010, Kota Kinabalu, Sabah. (Unpublished) http://skskm.spus.biz/ |
| spellingShingle | QA Mathematics Md Yusof, Zahayu Abdullah, Suhaida Syed Yahaya, Sharipah Soaad Type I error rates of t-test and T1 statistic under balanced and unbalanced designs |
| title | Type I error rates of t-test and T1 statistic under balanced and unbalanced designs |
| title_full | Type I error rates of t-test and T1 statistic under balanced and unbalanced designs |
| title_fullStr | Type I error rates of t-test and T1 statistic under balanced and unbalanced designs |
| title_full_unstemmed | Type I error rates of t-test and T1 statistic under balanced and unbalanced designs |
| title_short | Type I error rates of t-test and T1 statistic under balanced and unbalanced designs |
| title_sort | type i error rates of t test and t1 statistic under balanced and unbalanced designs |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/2216/1/Zahayu_Md_Yusuf%2C_Suhaida_Abdullah%2C_Sharipah_Soaad.pdf |
| work_keys_str_mv | AT mdyusofzahayu typeierrorratesofttestandt1statisticunderbalancedandunbalanceddesigns AT abdullahsuhaida typeierrorratesofttestandt1statisticunderbalancedandunbalanceddesigns AT syedyahayasharipahsoaad typeierrorratesofttestandt1statisticunderbalancedandunbalanceddesigns |