Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-19T12:29:46.349Z Has data issue: false hasContentIssue false
  • English
  • Français

Multibreed designs 3. Inter-breed relationships

Published online by Cambridge University Press:  02 September 2010

C. S. Taylor  and
Eva Hnizdo
C. S. Taylor
Affiliation:
AFRC Animal Breeding Research Organisation, West Mains Road, Edinburgh EH9 3JQ
Eva Hnizdo
Affiliation:
AFRC Animal Breeding Research Organisation, West Mains Road, Edinburgh EH9 3JQ
Get access

Abstract

Experimental designs with optimal allocation of animals within and between breeds are given for investigating inter-breed relationships between different traits. Optimal designs are given for estimating the following between-breed parameters: the genetic regression with breeds random, the genetic correlation, the ratio of genetic standard deviations for two traits and also the comparison of regressions within and between breeds. As in the case of between-breed variation, these turn out to be multibreed designs with a few animals per breed and usually as many different breeds as possible. Formulae are given for obtaining optimal numbers and estimation errors for traits with intra- and inter-breed correlations lying within restricted ranges.

If an exepriment with a multibreed design is to be effective, the optimum number of animals (or sires) per breed would normally lie between two and 10. If the optimum number per breed is much greater than 10, the experiment is unlikely to be worthwhile unless the total number of animals is large (at least several thousand).

Type
Research Article
Information
Animal Production , Volume 44 , Issue 1 , February 1987 , pp. 39 - 53
Copyright
Copyright © British Society of Animal Science 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Grossman, M. 1970. Sampling variance of the correlation coefficients estimated from analyses of variance and covariance. Theoretical and Applied Genetics 40: 357–359.CrossRefGoogle ScholarPubMed
Grossman, M. and Norton, H. W. 1974. Simplification of the sampling variance of the correlation coefficients. Theoretical and Applied Genetics 44: 332–332.CrossRefGoogle ScholarPubMed
Hammond, K. and Nicholas, F. W. 1972. The sampling variance of the correlation coefficients estimated from two-fold nested and offspring-parent regression analyses. Theoretical and Applied Genetics 42: 97–100.CrossRefGoogle ScholarPubMed
Reeve, E. C. R. 1955. The variance of the genetic correlation coefficient. Biometrics 11: 357–374.CrossRefGoogle Scholar
Robertson, A. 1959. The sampling variance of the genetic correlation coefficient. Biometrics 15: 469–485.CrossRefGoogle Scholar
Tallis, G. M. 1959. Sampling errors of genetic correlation coefficients calculated from analyses of variance and covariance. Australian Journal of Statistics 1: 35–43.CrossRefGoogle Scholar
Taylor, St C. S. 1976a. Multibreed designs. 1. Variation between breeds. Animal Production 23: 133–144.Google Scholar
Taylor, St C. S. 1976b. Multibreed designs. 2. Genetic variation within and between breeds. Animal Production 23: 145–154.Google Scholar