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A resampling test for principal component analysis of genotype-by-environment interaction

Forkman, Johannes (2015). A resampling test for principal component analysis of genotype-by-environment interaction. Acta et commentationes Universitatis Tartuensis de mathematica. 19:1, 27-33
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Abstract

In crop science, genotype-by-environment interaction is oftenexplored using the "genotype main effects and genotype-by-environmentinteraction effects" (GGE) model. Using this model, a singularvalue decomposition is performed on the matrix of residuals from a fit ofa linear model with main effects of environments. Provided that errorsare independent, normally distributed and homoscedastic, the significanceof the multiplicative terms of the GGE model can be tested usingresampling methods. The GGE method is closely related to principalcomponent analysis (PCA). The present paper describes i) the GGEmodel, ii) the simple parametric bootstrap method for testing multiplicativegenotype-by-environment interaction terms, and iii) how thisresampling method can also be used for testing principal components inPCA

Authors/Creators:Forkman, Johannes
Title:A resampling test for principal component analysis of genotype-by-environment interaction
Series/Journal:Acta et commentationes Universitatis Tartuensis de mathematica (1406-2283)
Year of publishing :2015
Volume:19
Number:1
Page range:27-33
Number of Pages:7
Place of Publication:Tartu, Estonia
Publisher:The Faculty of Mathematics and Computer Science, University of Tartu
ISSN:1406-2283
Language:English
Publication Type:Journal article
Refereed:Yes
Article category:Scientific peer reviewed
Version:Published version
Full Text Status:Public
Subjects:(A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10106 Probability Theory and Statistics
(A) Swedish standard research categories 2011 > 4 Agricultural Sciences > 401 Agricultural, Forestry and Fisheries > Agricultural Science
Agrovoc terms:statistics, component analysis
Keywords:dimensionality reduction, principal component analysis, resampling methods, singular value decomposition.
URN:NBN:urn:nbn:se:slu:epsilon-e-3558
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-3558
ID Code:13475
Faculty:NJ - Fakulteten för naturresurser och jordbruksvetenskap
Department:(NL, NJ) > Dept. of Crop Production Ecology
Deposited By: SLUpub Connector
Deposited On:18 Aug 2016 11:09
Metadata Last Modified:18 Aug 2016 11:09

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