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Balding–Nichols model

 
Wikipedia: Balding–Nichols model

In population genetics, the Balding–Nichols model is a statistical description of the allele frequencies in the components of a sub-divided population. With background allele frequency p the allele frequencies, F, in sub-populations separated by Wright's FST, are distributed according to independent draws from

B\left(\frac{1-F_{ST}}{F_{ST}}p,\frac{1-F_{ST}}{F_{ST}}(1-p)\right)

where B is the Beta distribution. This distribution has mean p and variance FST p(1 – p).[1]

The model is due to David Balding and Richard Nichols and is widely used in the forensic analysis of DNA profiles and in population models for genetic epidemiology.

Notes

  1. ^ Price et al. (2006)

References

Alkes L Price, Nick J Patterson, Robert M Plenge, Michael E Weinblatt, Nancy A Shadick, David Reich (2006) Principal components analysis corrects for stratification in genome-wide association studies. Nature Genetics, 38(8), 904–909. doi:10.1038/ng1847 online




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