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Estimation of heritability by offspring-parent regression when observations do not have a common mean

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Summary

Offspring-parent regression is a simple method for estimating heritability. This method yields unbiased estimates even when parents are selected. The usual model in offspring-parent regression assumes that observations have the same mean. This assumption, however, is not met in many situations. A method for estimating heritability by offspring-parent regression when observations do not have a common mean is presented. The estimator is distributed as a multiple of a t random variable centered at its parametric value and is unbiased even when the parents are selected. When observations have a common mean, the method reduces to the “usual” regression estimator.

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References

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Communicated by L. D. Van Vleck

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Fernando, R.L., Gianola, D. Estimation of heritability by offspring-parent regression when observations do not have a common mean. Theoret. Appl. Genetics 75, 803–806 (1988). https://doi.org/10.1007/BF00265608

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Key words

  • Offspring-parent regression
  • Heritability
  • Genetic parameters