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.
%0 Generic
%1 bryc2013separation
%A Bryc, Katarzyna
%A Bryc, Wlodek
%A Silverstein, Jack W.
%D 2013
%K PCA eigenvectors population_genomics random_matrices
%T Separation of the largest eigenvalues in eigenanalysis of genotype data
from discrete subpopulations
%U http://arxiv.org/abs/1301.4511
%X 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.
@misc{bryc2013separation,
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.},
added-at = {2013-01-30T02:22:29.000+0100},
author = {Bryc, Katarzyna and Bryc, Wlodek and Silverstein, Jack W.},
biburl = {https://www.bibsonomy.org/bibtex/25caef705b74e3236925f34fd3129aaf0/peter.ralph},
interhash = {3ea5c4ba0e0af1c0398a9aa5eea549a9},
intrahash = {5caef705b74e3236925f34fd3129aaf0},
keywords = {PCA eigenvectors population_genomics random_matrices},
note = {cite arxiv:1301.4511Comment: 27 pages, 3 figures},
timestamp = {2013-01-30T02:22:29.000+0100},
title = {Separation of the largest eigenvalues in eigenanalysis of genotype data
from discrete subpopulations},
url = {http://arxiv.org/abs/1301.4511},
year = 2013
}