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An Eigenvalue Test for spatial Principal Component Analysis

Authors: Valeria Montano; T. Jombart;
APC: 1,914.97 EUR

An Eigenvalue Test for spatial Principal Component Analysis

Abstract

Abstract Background The spatial Principal Component Analysis (sPCA, Jombart 2008) is designed to investigate non-random spatial distributions of genetic variation. Unfortunately, the associated tests used for assessing the existence of spatial patterns ( global and local test ; Jombart et al. 2008) lack statistical power and may fail to reveal existing spatial patterns. Here, we present a non-parametric test for the significance of specific patterns recovered by sPCA. Results We compared the performance of this new test to the original global and local tests using datasets simulated under classical population genetic models. Results show that our test outperforms the original global and local tests, exhibiting improved statistical power while retaining similar, and reliable type I errors. Moreover, by allowing to test various sets of axes, it can be used to guide the selection of retained sPCA components. Conclusions As such, our test represents a valuable complement to the original analysis, and should prove useful for the investigation of spatial genetic patterns.

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United Kingdom
Related Organizations
Keywords

QA75, Biochemistry & Molecular Biology, Bioinformatics, QH301-705.5, QA75 Electronic computers. Computer science, QH301 Biology, Computer applications to medicine. Medical informatics, R858-859.7, 610, Biochemistry, DNA, Mitochondrial, Biochemical Research Methods, QH301, Population Groups, Structural Biology, Humans, Monte-Carlo, Biology (General), Molecular Biology, MULTIVARIATE-ANALYSIS, 01 Mathematical Sciences, Spatial genetic patterns, 08 Information And Computing Sciences, Principal Component Analysis, Science & Technology, sPCA, Applied Mathematics, Methodology Article, R-PACKAGE, Computational Biology, Genetic Variation, DAS, Eigenvalues, 06 Biological Sciences, Computer Science Applications, Genetics, Population, Biotechnology & Applied Microbiology, GENETIC-MARKERS, Mathematical & Computational Biology, Life Sciences & Biomedicine, Algorithms

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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Top 10%
Top 10%
Top 10%
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gold