Methods of variance component estimation

Estimation of variance components is a method often used in population genetics and applied in animal breeding. Even experienced population geneticists nowadays feel lost if confronted with the huge set of different methods of variance component estimation. Especially because there exists no uniform...

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Main Authors: D. Rasch, O. Mašata
Format: Article
Language:English
Published: Czech Academy of Agricultural Sciences 2006-06-01
Series:Czech Journal of Animal Science
Subjects:
Online Access:https://cjas.agriculturejournals.cz/artkey/cjs-200606-0001_methods-of-variance-component-estimation.php
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author D. Rasch
O. Mašata
author_facet D. Rasch
O. Mašata
author_sort D. Rasch
collection DOAJ
description Estimation of variance components is a method often used in population genetics and applied in animal breeding. Even experienced population geneticists nowadays feel lost if confronted with the huge set of different methods of variance component estimation. Especially because there exists no uniformly best method, a decision which method should be used is often difficult to take. This paper gives a complete overview of methods existing in the simplest case of a one-way lay-out and demonstrates some of them by a numerical example for which the true situation is known. Of course, the one-way lay-out is of limited practical interest but can best be used to explain animal scientists the basic principles of the methods. These basic principles are principally also valid for higher classifications. Advantages and disadvantages of the methods are discussed. The symbols used are the standard biometric symbols as given in Rasch et al. (1994). We can say that all the methods offered by SPSS can be recommended.
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spelling doaj.art-ff5eb0deeeaa414eb9137547f442be7c2023-02-23T03:32:23ZengCzech Academy of Agricultural SciencesCzech Journal of Animal Science1212-18191805-93092006-06-0151622723510.17221/3933-CJAScjs-200606-0001Methods of variance component estimationD. Rasch0O. Mašata1Biometric Unit, Research Institute of Animal Production, Prague-Uhříněves, Czech RepublicBiometric Unit, Research Institute of Animal Production, Prague-Uhříněves, Czech RepublicEstimation of variance components is a method often used in population genetics and applied in animal breeding. Even experienced population geneticists nowadays feel lost if confronted with the huge set of different methods of variance component estimation. Especially because there exists no uniformly best method, a decision which method should be used is often difficult to take. This paper gives a complete overview of methods existing in the simplest case of a one-way lay-out and demonstrates some of them by a numerical example for which the true situation is known. Of course, the one-way lay-out is of limited practical interest but can best be used to explain animal scientists the basic principles of the methods. These basic principles are principally also valid for higher classifications. Advantages and disadvantages of the methods are discussed. The symbols used are the standard biometric symbols as given in Rasch et al. (1994). We can say that all the methods offered by SPSS can be recommended.https://cjas.agriculturejournals.cz/artkey/cjs-200606-0001_methods-of-variance-component-estimation.phpone-way anovaanova-methodminquemivquebayesian approachgibbs samplingnumerical example
spellingShingle D. Rasch
O. Mašata
Methods of variance component estimation
Czech Journal of Animal Science
one-way anova
anova-method
minque
mivque
bayesian approach
gibbs sampling
numerical example
title Methods of variance component estimation
title_full Methods of variance component estimation
title_fullStr Methods of variance component estimation
title_full_unstemmed Methods of variance component estimation
title_short Methods of variance component estimation
title_sort methods of variance component estimation
topic one-way anova
anova-method
minque
mivque
bayesian approach
gibbs sampling
numerical example
url https://cjas.agriculturejournals.cz/artkey/cjs-200606-0001_methods-of-variance-component-estimation.php
work_keys_str_mv AT drasch methodsofvariancecomponentestimation
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