Skip to main content
Log in

Probabilities of negative estimates of genetic variances

  • Originals
  • Published:
Theoretical and Applied Genetics Aims and scope Submit manuscript

Summary

The probability of negative analysis of variance estimates of genetic variance components due to sampling error (Ps) was investigated. The objectives were to evaluate the magnitude of Ps, to compare Ps for estimates of σ 2A and σ 2D , and to compare Ps for genetic variance component estimates from the nested and factorial mating designs. Ps was defined in terms of ratios of mean squares and the F distribution was used to calculate probabilities of the negative estimates. The results indicated that Ps is often greater than 0.20 for σ 2D . It is generally lower for σ 2A than for σ 2D , and lower for the factorial mating design than the nested mating design.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Comstock RE, Robinson HF (1948) The components of genetic variance in populations of biparental progenies and their use in estimating the average degree of dominance. Biometrics 4:254–266

    Google Scholar 

  • Comstock RE, Robinson HF (1952) Estimation of average degree of dominance of genes. In: Gowen JW (ed) Heterosis. Iowa State University Press, Ames, Iowa, pp 494–516

    Google Scholar 

  • ElRouby MM, Penny LH (1967) Variation and covariation in a high oil population of corn (Zea mays L.) and their implications in selection. Crop Sci 7:216–219

    Google Scholar 

  • Gill JL, Jensen EL (1968) Probability of obtaining negative estimates of heritability. Biometrics 24:517–526

    Google Scholar 

  • Hallauer AR, Miranda JB (1981) Quantitative genetics in maize breeding. Iowa State University Press, Ames, Iowa

    Google Scholar 

  • Hayman BI (1960) Maximum likelihood estimation of genetic components of variation. Biometrics 16:369–381

    Google Scholar 

  • Leone FC, Nelson LS, Johnson NL, Eisenhart S (1968) Sampling distributions of variance components. 2. Empirical studies of unbalanced nested designs. Technometrics 10:719–738

    Google Scholar 

  • Lindsey MD, Lonnquist JH, Gardner CO (1962) Estimates of genetic variance in open-pollinated varieties of corn-belt corn. Crop Sci 2:105–108

    Google Scholar 

  • Robinson HF, Comstock RE, and Harvey PH (1955) Genetic variances in open pollinated varieties of corn. Genetcis 40:45–60

    Google Scholar 

  • Satterthwaite FE (1946) An approximate distribution of estimates of variance components. Biom Bull 2:110–114

    Google Scholar 

  • Searle SR (1971) Linear models. Wiley and Sons, New York

    Google Scholar 

  • Sentz JC (1971) Genetic variances in a synthetic variety of maize estimated by two mating designs. Crop Sci 11:234–238

    Google Scholar 

  • Williams JC, Penny LH, Sprague GF (1965) Full-sib and halfsib estimates of genetic variance in an open-pollinated variety of corn, Zea mays L. Crop Sci 5:125–129

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by A. R. Hallauer

Technical Contribution No. 2589 from the South Carolina Agricultural Experiment Station, Clemson University

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bridges, W.C., Knapp, S.J. Probabilities of negative estimates of genetic variances. Theoret. Appl. Genetics 74, 269–274 (1987). https://doi.org/10.1007/BF00289979

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00289979

Key words

Navigation