New Equivalence Tests for Hardy–Weinberg Equilibrium and Multiple Alleles

2020/02/05 by Vladimir Ostrovski · 1 citation
Biochemistry, Genetics and Molecular Biology · #Evolution and Genetic Dynamics

paper · pdf · doi:10.3390/stats3010004

openalex publication_date 2020/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• On a Matching Problem Arising in Genetics
• Testing equivalence to families of multinomial distributions with application to the independence model

Cited by

• Hardy–Weinberg principle [wikipedia]

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