VARIANCE COMPONENT ESTIMATION AND PREDICTION OF BREEDING VALUES
- 1 December 1981
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Genetics and Cytology
- Vol. 23 (4) , 565-578
- https://doi.org/10.1139/g81-062
Abstract
A brief review is given of prediction of breeding values when the genetic and phenotypic variances of the trait are known. In many situations, however, these variances are not known and must be estimated from the data. A review is given of the traditionally used analysis of variance (ANOVA) type methods of variance component estimation and of the more recently developed methods of maximum likelihood (ML), restricted maximum likelihood (REML), minimum norm quadratic unbiased estimation (MINQUE) and some variations on MINQUE. Criteria for choosing among methods are discussed and the consequences of applying estimates obtained by these methods in place of known variances to the prediction of breeding values are considered. The methods are illustrated for estimation of paternal half-sib heritability and prediction of breeding values of sires using a small numerical example. Lastly, the consequences of selection on prediction of breeding values and estimation of components of variance for populations under selection are discussed.Keywords
This publication has 19 references indexed in Scilit:
- Sensitivity of MINQUE with Respect to a Priori WeightsPublished by JSTOR ,1979
- Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance ComponentsTechnometrics, 1978
- Maximum Likelihood Approaches to Variance Component Estimation and to Related ProblemsJournal of the American Statistical Association, 1977
- A Simple Method for Computing the Inverse of a Numerator Relationship Matrix Used in Prediction of Breeding ValuesPublished by JSTOR ,1976
- The Invariance and Calculation of Method 2 for Estimating Variance ComponentsPublished by JSTOR ,1974
- A Biometrics Invited Paper. Topics in Variance Component EstimationBiometrics, 1971
- Large Sample Variances of Maximum Likelihood Estimators of Variance Components Using Unbalanced DataPublished by JSTOR ,1970
- Estimation of Heteroscedastic Variances in Linear ModelsJournal of the American Statistical Association, 1970
- Maximum-likelihood estimation for the mixed analysis of variance modelBiometrika, 1967
- A DISCRIMINANT FUNCTION FOR PLANT SELECTIONAnnals of Eugenics, 1936