New Equivalence Tests for Hardy-Weinberg Equilibrium and Multiple Alleles
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916842472210432 |
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| author | Ostrovski, Vladimir |
| author_facet | Ostrovski, Vladimir |
| contents | We consider testing equivalence to Hardy-Weinberg Equilibrium in case of multiple alleles. Two different test statistics are proposed for this test problem. The asymptotic distribution of the test statistics is derived. The corresponding tests can be carried out using asymptotic approximation. Alternatively, the variance of the test statistics can be estimated by the bootstrap method. The proposed tests are applied to three real data sets. The finite sample performance of the tests is studied by simulations, which are inspired by the real data sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10077 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Equivalence Tests for Hardy-Weinberg Equilibrium and Multiple Alleles Ostrovski, Vladimir Methodology Statistics Theory 62F03, 62G10 We consider testing equivalence to Hardy-Weinberg Equilibrium in case of multiple alleles. Two different test statistics are proposed for this test problem. The asymptotic distribution of the test statistics is derived. The corresponding tests can be carried out using asymptotic approximation. Alternatively, the variance of the test statistics can be estimated by the bootstrap method. The proposed tests are applied to three real data sets. The finite sample performance of the tests is studied by simulations, which are inspired by the real data sets. |
| title | New Equivalence Tests for Hardy-Weinberg Equilibrium and Multiple Alleles |
| topic | Methodology Statistics Theory 62F03, 62G10 |
| url | https://arxiv.org/abs/2507.10077 |