PubMed · 2622965
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A P Round. 1989. SCHESIS: computation in a multipoint linkage analysis program.. https://pubmed.ncbi.nlm.nih.gov/2622965/
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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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Marfan syndrome, which is characterized by manifestations in the skeletal, ocular and cardiovascular systems, is one of the most common inherited connective-tissue disorders. The independently performed genetic assignment of the Marfan locus and classical biochemical and immunohistochemical analyses complemented each other in the search for the Marfan gene defect and in 1991 the fibrillin gene in chromosome 15 was identified as the Marfan gene. So far, three mutations leading to the Marfan phenotype have been reported in this gene coding for a microfibrillar protein. The available data suggests a wide spectrum of different mutations of fibrillin and although mutations of the fibrillin gene account for the majority of Marfan cases, evidence also exists for locus heterogeneity in a minority of Marfan cases.