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Linear models for the prediction of animal breeding values

Author: R A Mrode; C.A.B. International.
Publisher: Wallingford : CAB International, ©1996.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This text describes the application of linear models to the prediction of animal breeding values. It covers basic principles of breeding value predictions and the application of BLUP (Best Linear  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R A Mrode; C.A.B. International.
ISBN: 0851989969 9780851989969
OCLC Number: 34676553
Description: x, 187 pages ; 24 cm
Contents: Machine derived contents note: Preface --
1. Genetic Evaluation With Different Sources Of Records --
1.1. The basic model --
1.2. Breeding-value prediction from the animal's own performance --
1.3. Breeding-value prediction from progeny records --
1.4. Breeding value prediction from pedigree --
1.5. Breeding value prediction for one trait from another --
1.6. Selection index --
2. Genetic Covariance Between Relatives --
2.1. The numerator relationship matrix --
2.2. Decomposing the relationship matrix --
2.3. Computing the inverse of the relationship matrix --
2.4. Inverse of the relationship matrix for sires and maternal grandsires --
3. Best Linear Unbiased Prediction Of Breeding Value --
Univariate models with one random effect --
3.1. Brief theoretical background --
3.2. A model for an animal evaluation (animal model) --
3.3. A sire model --
3.4. Reduced animal model --
3.5. Animal model with groups --
4. Best Linear Unbiased Prediction Of Breeding Value --
Models with random environmental effects --
4.1. Repeatability model --
4.2. Model with common environmental effects --
5. Best Linear Unbiased Prediction Of Breeding Value --
Multivariate animal models --
5.1. Equal design matrices and no missing records --
5.2. Canonical transformation --
5.3. Equal design matrices with missing records --
5.4. Cholesky transformation --
5.5. Unequal design matrices --
5.6. Different traits recorded on relatives --
6. Maternal-Trait Models --
Animal and reduced animal models --
6.1. Animal model for a maternal trait --
6.2. Reduced animal model with maternal effects --
6.3. Multivaraite maternal animal model --
7. Non-Additive Animal Models --
7.1. Dominance relationship matrix --
7.2. Animal model with dominance effects --
7.3. Method for rapid inversion of the dominance matrix --
7.4. Epistatis --
8. Solving Linear Equations --
8.1. Direct inversion --
8.2. Iteration on the mixed-model equations --
8.3. Iterating on the data.
Responsibility: R.A. Mrode.
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