Estimating variance components in a class of mixed models by restricted maximum likelihood

Smith, S.P.; Graser, H.-U.

doi:10.3168/jds.s0022-0302(86)80516-1

Cited by 247Genetic and phenotypic traits in livestockStatistical Methods and Bayesian InferenceStatistical and numerical algorithms

Estimating variance components in a class of mixed models by restricted maximum likelihood

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Smith, S.P., Graser, H.-U.·1986·Journal of Dairy Science

DOI 10.3168/jds.s0022-0302(86)80516-1

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Abstract

An efficient algorithm is described for computing restricted maximum likelihood estimates of variance components in a class of models.The class of models is characterized by effects to be absorbed, which are nested within herds, other fixed effects, random sire effects, one other group of random effects nested within herds, and a random residual.The model can be generalized to account for relationships among sires.Matrix inversion is not used.A realistic example is presented.

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Authors: Smith, S. P., & Graser, H.-U.
Affiliations: Animal Genetics and Breeding Unit (AU)
ORCID: Smith, S.P.
Venue: Journal of Dairy Science
Publisher: American Dairy Science Association
Published: 1986-04
Volume: 69
Issue: 4
Pages: 1156-1165
ISSN: 0022-0302 (ISSN-L)
DOI: 10.3168/jds.s0022-0302(86)80516-1
OpenAlex: W2166152266
Semantic Scholar: 1a2fc193a2369f413cc62858a2d64c762c8a7362
Cited by: 247
References: 12
Citations by year: 2026: 3 · 2025: 2 · 2024: 1 · 2022: 2 · 2021: 2 · 2020: 5 · 2019: 3 · 2018: 1 · 2017: 1 · 2016: 5 · 2015: 2 · 2014: 2 · 2013: 4 · 2012: 2
FWCI: 4.82
Type: journal article
Language: en
Open access: bronze
doi.org
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/legal/tdmrep-license (tdm)
www.elsevier.com/open-access/userlicense/1.0/ (vor, 11976 d)
Locations: Journal of Dairy Science (publishedVersion)
Topics: Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic and phenotypic traits in livestock
Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
Keywords: variance components, restricted maximum likelihood, mixed models, herds, nested random effects, fixed effects, dairy cattle, genetic evaluation, matrix inversion avoidance

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Estimating variance components in a class of mixed models by restricted maximum likelihood

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