On selection criteria and estimation of parameters when the variance is heterogeneous
- 1 August 1986
- journal article
- research article
- Published by Springer Nature in Theoretical and Applied Genetics
- Vol. 72 (5) , 671-677
- https://doi.org/10.1007/bf00289007
Abstract
Procedures for ranking candidates for selection and for estimating genetic and environmental parameters when variances are heterogeneous are discussed. The best linear unbiased predictor (BLUP) accounts automatically for heterogeneous variance provided that the covariance structure is known and that the assumptions of the model hold. Under multivariate normality BLUP allowing for heterogeneous variance maximizes expected genetic progress. Examples of application of BLUP to selection when residual or genetic variances are heterogeneous are given. Restricted maximum likelihood estimation of heterogeneous variances and covariances via the expectation-maximization algorithm is presented.Keywords
This publication has 19 references indexed in Scilit:
- On selection among groups with heterogeneous varianceAnimal Science, 1984
- On estimation of variance components*Statistica Neerlandica, 1980
- Probabilities of Non-Positive Definite between-Group or Genetic Covariance MatricesBiometrics, 1978
- Simultaneous Estimation of Variance and Covariance Components from Multitrait Mixed Model EquationsBiometrics, 1978
- Best Linear Unbiased Prediction of Breeding Values Not in the Model for RecordsJournal of Dairy Science, 1977
- Multiple Trait Evaluation Using Relatives' RecordsJournal of Animal Science, 1976
- A Simple Method for Computing the Inverse of a Numerator Relationship Matrix Used in Prediction of Breeding ValuesPublished by JSTOR ,1976
- Use of Relationships Among Sires to Increase Accuracy of Sire EvaluationJournal of Dairy Science, 1975
- Best Linear Unbiased Estimation and Prediction under a Selection ModelPublished by JSTOR ,1975
- Recovery of inter-block information when block sizes are unequalBiometrika, 1971