Summary
Yamada's method of estimating genetic co-variances between traits measured in different experimental units is discussed. It is shown that if the data are unbalanced, this method gives biased estimates of genetic covariances unless the traits have identical genetic and residual variances. An alternative unbiased procedure is suggested.
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Dickerson GE (1962) Implications of genetic environmental interaction in animal breeding. Anim Prod 4:47–64
Eisen EJ (1967) Matings designs for estimating direct and maternal genetic variances and direct-maternal genetic co-variances. Can J Genet Cytol 9:13–22
Falconer DS (1952) The problem of environment and selection. Am Nat 86:292–298
Gianola D (1979) Estimation of genetic covariance from joint offspring-parent and sib-sib statistics. Genetics 93:1039–1049
Grossman M, Norton HW (1981) An approximation of the minimum-variance estimator of heritability based on variance component analysis. Genetics 98:417–426
Henderson CR (1953) Estimation of variance and covariance components. Biometrics 9:226–252
Hohenboken WD, Brinks JS (1971) Relationships between direct an maternal effects on growth in Herefords. 3. Covariance of paternal half-brother and sister performance. J Anim Sci 32:35–42
ollivier, L (1982) Genetic correlations between boar performance-test and progeny-test traits estimated from joint offspring-parent and half-sib covariances. Proc 2nd World Congr Genet Appl Livestock Prod 7:250–255
Robertson A (1959) The sampling variance of the genetic correlation coefficient. Biometrics 15:469–485
Searle SR (1971) Linear models. J Wiley and Sons, New York pp 441, 246, 55
Schaeffer LR, Wilton JW, Thompson R (1978) Simultaneous estimation of variance and covariance components from multitrait mixed model equations. Biometrics 34:199–208
Tewolde A (1981) Direct-maternal genetic correlations for preweaning growth in Hereford cattle. PhD Thesis Oregon State University Corvallis
Thompson R (1977) Estimation of quantitative genetic parameters. In: Pollak E, Kempthorne O, Bailey TB, Jr (eds) Proc Int Conf Quant Genet. Iowa State University Press, Ames, pp 639–657
Wiggans GR, Quaas RL, Van Vleck LD (1980) Estimating a genetic covariance from least squares solutions. J Dairy Sci 63:174–177
Yamada Y (1962) Genotype by environment interaction and genetic correlation of the same trait under different environments. Jpn J Genet 37:498–509
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Communicated by L. D. Van Vleck
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Fernando, R.L., Knights, S.A. & Gianola, D. On a method of estimating the genetic correlation between characters measured in different experimental units. Theoret Appl Genet 67, 175–178 (1984). https://doi.org/10.1007/BF00317027
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DOI: https://doi.org/10.1007/BF00317027