title: Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations.
abstract: We present a mathematical model, and the corresponding mathematical analysis, that justifies and quantifies the use of principal component analysis of biallelic genetic marker data for a set of individuals to detect the number of subpopulations represented in the data. We indicate that the power of the technique relies more on the number of individuals genotyped than on the number of markers.
authors: Department of Genetics, Harvard Medical School, Boston, MA 02115, USA. Electronic address: kasia1@gmail.com.
authors: Katarzyna
authors: K
authors: Bryc
authors: Wlodek
authors: W
authors: Bryc
authors: Jack W
authors: JW
authors: Silverstein
mesh_terms: D005828:Genetics, Population; D005838:Genotype; D006801:Humans; D008962:Models, Theoretical
keywords: Eigenanalysis; Eigenvalues; Number of subpopulations; Population structure; Principal components analysis
references: Science. 1978 Sep 1;201(4358):786-92
references: 356262
references: Science. 2009 Apr 24;324(5926):528-32
references: 19390050
references: Genome Res. 2005 Dec;15(12):1706-16
references: 16339369
references: PLoS Genet. 2009 Oct;5(10):e1000695
references: 19851460
references: PLoS One. 2011;6(6):e21014
references: 21738600
references: Science. 2002 Dec 20;298(5602):2381-5
references: 12493913
references: Genetics. 2001 Dec;159(4):1779-88
references: 11779814
references: Genetics. 2003 Aug;164(4):1567-87
references: 12930761
references: Genetics. 2001 Oct;159(2):699-713
references: 11606545
references: Genetica. 1995;96(1-2):3-12
references: 7607457
references: Hum Hered. 2012;73(2):73-83
references: 22441298
references: Genetics. 2008 Oct;180(2):1009-21
references: 18716334
references: Nat Genet. 2007 Oct;39(10):1251-5
references: 17828266
references: Genetics. 1943 Mar;28(2):114-38
references: 17247074
references: Genome Res. 2005 Nov;15(11):1496-502
references: 16251459
references: Mol Ecol. 2006 May;15(6):1419-39
references: 16629801
references: Bull Math Biol. 2011 Mar;73(3):459-94
references: 20349153
references: Nature. 2008 Nov 6;456(7218):98-101
references: 18758442
references: PLoS One. 2012;7(11):e49575
references: 23185369
references: Am J Hum Genet. 2010 Oct 8;87(4):457-64
references: 20869033
references: PLoS Genet. 2010 Sep 16;6(9):e1001117
references: 20862358
references: Am J Hum Genet. 2008 Sep;83(3):347-58
references: 18760391
references: PLoS Genet. 2006 Dec;2(12):e190
references: 17194218
references: Science. 1993 Jan 29;259(5095):639-46
references: 8430313
references: Am J Hum Genet. 2007 Sep;81(3):559-75
references: 17701901
references: Genetics. 2000 Jun;155(2):945-59
references: 10835412
references: Genome Res. 2009 Sep;19(9):1655-64
references: 19648217
references: PLoS Genet. 2009 Oct;5(10):e1000686
references: 19834557