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New Equivalence Tests for Hardy–Weinberg Equilibrium and Multiple Alleles

Author

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  • Vladimir Ostrovski

    (ERGO Group AG, ERGO-Platz 1, 40198 Düsseldorf, Germany)

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.

Suggested Citation

  • Vladimir Ostrovski, 2020. "New Equivalence Tests for Hardy–Weinberg Equilibrium and Multiple Alleles," Stats, MDPI, vol. 3(1), pages 1-6, February.
    • Handle: RePEc:gam:jstats:v:3:y:2020:i:1:p:4-39:d:316934
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    References listed on IDEAS

    as
    1. Stefan Wellek, 2004. "Tests for Establishing Compatibility of an Observed Genotype Distribution with Hardy–Weinberg Equilibrium in the Case of a Biallelic Locus," Biometrics, The International Biometric Society, vol. 60(3), pages 694-703, September.
    2. Ostrovski, Vladimir, 2018. "Testing equivalence to families of multinomial distributions with application to the independence model," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 61-66.
    3. Vladimir Ostrovski, 2019. "New Equivalence Tests for Approximate Independence in Contingency Tables," Stats, MDPI, vol. 2(2), pages 1-8, April.
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