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Title
A penalized likelihood approach to pooling estimates of covariance components from analyses by parts
Fields of Research (FoR) 2008:
Author(s)
Publication Date
2013
Socio-Economic Objective (SEO) 2008
Abstract
Estimates of covariance matrices for numerous traits are commonly obtained by pooling results from a series of analyses of subsets of traits. A penalized maximum-likelihood approach is proposed to combine estimates from part analyses while constraining the resulting overall matrices to be positive definite. In addition, this provides the scope for 'improving' estimates of individual matrices by applying a penalty to the likelihood aimed at borrowing strength from their phenotypic counterpart. A simulation study is presented showing that the new method performs well, yielding unpenalized estimates closer to results from multivariate analyses considering all traits, than various other techniques used. In particular, combining results for all sources of variation simultaneously minimizes deviations in phenotypic estimates if sampling covariances can be approximated. A mild penalty shrinking estimates of individual covariance matrices towards their sum or estimates of canonical eigenvalues towards their mean proved advantageous in most cases. The method proposed is flexible, computationally undemanding and provides combined estimates with good sampling properties and is thus recommended as alternative to current methods for pooling.
Publication Type
Journal Article
Source of Publication
Journal of Animal Breeding and Genetics, 130(4), p. 270-285
Publisher
Wiley-Blackwell Verlag GmbH
Place of Publication
Germany
ISSN
1439-0388
0931-2668
Fields of Research (FoR) 2020
Socio-Economic Objective (SEO) 2020
Peer Reviewed
Yes
HERDC Category Description
Peer Reviewed
Yes
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