Balding–Nichols model

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Balding-Nichols
Probability density function
Balding nichols pdf.svg
Cumulative distribution function
Balding nichols cdf.svg
Parameters (real)
(real)
For ease of notation, let
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Support
PDF
CDF
Mean
Median no closed form
Mode
Variance
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CF

In population genetics, the Balding–Nichols model is a statistical description of the allele frequencies in the components of a sub-divided population.[1] With background allele frequency p the allele frequencies, in sub-populations separated by Wright's FST F, are distributed according to independent draws from

where B is the Beta distribution. This distribution has mean p and variance Fp(1 – p).[2]

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.


References[edit]

  1. ^ Balding, DJ; Nichols, RA (1995). "A method for quantifying differentiation between populations at multi-allelic loci and its implications for investigating identity and paternity.". Genetica. Springer. 96: 3–12. doi:10.1007/BF01441146. PMID 7607457. 
  2. ^ 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" (PDF). Nature Genetics. 38 (8): 904–909. doi:10.1038/ng1847. PMID 16862161.