Statistical tests under Dallal's model: Asymptotic and exact methods.
This paper proposes asymptotic and exact methods for testing the equality of correlations for multiple bilateral data under Dallal's model. Three asymptotic test statistics are derived for large samples. Since they are not applicable to small data, several conditional and unconditional exact me...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2020-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0242722 |
| _version_ | 1819292008661909504 |
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| author | Zhiming Li Changxing Ma Mingyao Ai |
| author_facet | Zhiming Li Changxing Ma Mingyao Ai |
| author_sort | Zhiming Li |
| collection | DOAJ |
| description | This paper proposes asymptotic and exact methods for testing the equality of correlations for multiple bilateral data under Dallal's model. Three asymptotic test statistics are derived for large samples. Since they are not applicable to small data, several conditional and unconditional exact methods are proposed based on these three statistics. Numerical studies are conducted to compare all these methods with regard to type I error rates (TIEs) and powers. The results show that the asymptotic score test is the most robust, and two exact tests have satisfactory TIEs and powers. Some real examples are provided to illustrate the effectiveness of these tests. |
| first_indexed | 2024-12-24T03:47:42Z |
| format | Article |
| id | doaj.art-a33f7cd5fa204ab398f684822b8c0b40 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-24T03:47:42Z |
| publishDate | 2020-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-a33f7cd5fa204ab398f684822b8c0b402022-12-21T17:16:40ZengPublic Library of Science (PLoS)PLoS ONE1932-62032020-01-011511e024272210.1371/journal.pone.0242722Statistical tests under Dallal's model: Asymptotic and exact methods.Zhiming LiChangxing MaMingyao AiThis paper proposes asymptotic and exact methods for testing the equality of correlations for multiple bilateral data under Dallal's model. Three asymptotic test statistics are derived for large samples. Since they are not applicable to small data, several conditional and unconditional exact methods are proposed based on these three statistics. Numerical studies are conducted to compare all these methods with regard to type I error rates (TIEs) and powers. The results show that the asymptotic score test is the most robust, and two exact tests have satisfactory TIEs and powers. Some real examples are provided to illustrate the effectiveness of these tests.https://doi.org/10.1371/journal.pone.0242722 |
| spellingShingle | Zhiming Li Changxing Ma Mingyao Ai Statistical tests under Dallal's model: Asymptotic and exact methods. PLoS ONE |
| title | Statistical tests under Dallal's model: Asymptotic and exact methods. |
| title_full | Statistical tests under Dallal's model: Asymptotic and exact methods. |
| title_fullStr | Statistical tests under Dallal's model: Asymptotic and exact methods. |
| title_full_unstemmed | Statistical tests under Dallal's model: Asymptotic and exact methods. |
| title_short | Statistical tests under Dallal's model: Asymptotic and exact methods. |
| title_sort | statistical tests under dallal s model asymptotic and exact methods |
| url | https://doi.org/10.1371/journal.pone.0242722 |
| work_keys_str_mv | AT zhimingli statisticaltestsunderdallalsmodelasymptoticandexactmethods AT changxingma statisticaltestsunderdallalsmodelasymptoticandexactmethods AT mingyaoai statisticaltestsunderdallalsmodelasymptoticandexactmethods |