Statistical test to compare the linkage model and the admixture model based on central limit results.

Carola Sophia Heinzel

doi:10.1016/j.tpb.2026.06.001

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Statistical test to compare the linkage model and the admixture model based on central limit results.

Carola Sophia Heinzel

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Abstract

In the Admixture Model, the probability that an individual carries a certain allele at a specific marker depends on the allele frequencies in K ancestral populations and the proportion of the individual's genome originating from these populations. The markers are assumed to be independent. The Linkage Model is a Hidden Markov Model that extends the Admixture Model by incorporating linkage between neighboring loci. We prove consistency and asymptotic normality of maximum likelihood estimators for the ancestry of individuals in the Linkage Model, complementing earlier results by (Pfaff et al., 2004; Pfaffelhuber and Rohde, 2022; Heinzel, 2025) for the Admixture Model. These results are used to prove that a statistical test that allows for model selection between the Admixture Model and the Linkage Model is an asymptotic level-α-test. Finally, we demonstrate the practical relevance of our results by applying the test to real-world data from The 1000 Genomes Project Consortium (2015).

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Genetic Linkage Models, Genetic Humans Likelihood Functions Markov Chains Gene Frequency Models, Statistical Genetics, Population Admixture model Central limit results Consistency Linkage model Maximum likelihood estimator Model selection Statistical test Journal Article Comparative Study

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Carola Sophia Heinzel. 2026-06-25. Statistical test to compare the linkage model and the admixture model based on central limit results.. https://doi.org/10.1016/j.tpb.2026.06.001

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Journal Article; Comparative Study resource Comparative Study subject Gene Frequency subject Genetics, Population subject Humans subject Journal Article subject Markov Chains subject Models, Genetic subject

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