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Published on: June 22, 2017
Copulas in QTL mapping
Bojan Basrak1, Chris A J Klaassen, Marian Beekman
1Department of Mathematics, University of Zagreb, Eurandom, Bijenicka 30, 10000 Zagreb, Croatia. bbasrak@math.hr
Abstract:
The standard variance components method for mapping quantitative trait loci is derived on the assumption of normality. Unsurprisingly, statistical tests based on this method do not perform so well if this assumption is not satisfied. We use the statistical concept of copulas to relax the assumption of normality and derive a test that can perform well under any distribution of the continuous trait. In particular, we discuss bivariate normal copulas in the context of sib-pair studies. Our approach is illustrated by a linkage analysis of lipoprotein(a) levels, whose distribution is highly skewed. We demonstrate that the asymptotic critical levels of the test can still be calculated using the interval mapping approach. The new method can be extended to more general pedigrees and multivariate phenotypes in a similar way as the original variance components method.
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