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, in sub-populations separated by Wright's FST F, are distributed according to independent draws from
Probability density function
Cumulative distribution function
For ease of notation, let
|Median||no closed form|
where B is the Beta distribution. This distribution has mean p and variance Fp(1 – p).
- 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.
- 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. Archived from the original (PDF) on 2008-07-03. Retrieved 2009-02-19.