ArticleAnimal genetics2012
On measures of association among genetic variables.
Article in Animal genetics, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Reconstructing ecological networks with noisy dynamics.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
- A Scale-Corrected Comparison of Linkage Disequilibrium Levels between Genic and Non-Genic Regions.PloS one · 2015Article
- Article
- Evaluation of linkage disequilibrium in wheat with an L1-regularized sparse Markov network.TAG. Theoretical and applied genetics. Theoretische und angewandte Genetik · 2013Article
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Authors and funding
3 authors.
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Abstract
Systems involving many variables are important in population and quantitative genetics, for example, in multi-trait prediction of breeding values and in exploration of multi-locus associations. We studied departures of the joint distribution of sets of genetic variables from independence. New measures of association based on notions of statistical distance between distributions are presented. These are more general than correlations, which are pairwise measures, and lack a clear interpretation beyond the bivariate normal distribution. Our measures are based on logarithmic (Kullback-Leibler) and on relative 'distances' between distributions. Indexes of association are developed and illustrated for quantitative genetics settings in which the joint distribution of the variables is either multivariate normal or multivariate-t, and we show how the indexes can be used to study linkage disequilibrium in a two-locus system with multiple alleles and present applications to systems of correlated beta distributions. Two multivariate beta and multivariate beta-binomial processes are examined, and new distributions are introduced: the GMS-Sarmanov multivariate beta and its beta-binomial counterpart.
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