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Heritability

Published online by Cambridge University Press:  14 July 2016

Susan R. Wilson
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Abstract

This article discusses certain aspects of determining heritability estimates from the genetic analyses of data. First, a brief review is given of the major statistical techniques for fitting models to quantitative family data. Then, by reference to a general schematic framework, the basic models that have been proposed for such data will be described. Some new environmental models are also developed. Finally, by reference to some data sets, the interactive approach to data analysis is proposed, advocating the determination of adequacy of fit of all reasonable models to available data.

Keywords

MODELS FOR FAMILY DATACOMPONENTS OF VARIANCEPEDIGREE ANALYSISGENETIC MODELSSIBLING EFFECTSDATA ANALYSIS
Type
Part 1 — Genetics
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 71 - 85
Copyright
Copyright © 1982 Applied Probability Trust 

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References

Baker, R. J. and Nelder, J. A. (1978) General Linear Interactive Modelling (Release 3). Numerical Algorithms Group, Oxford.Google Scholar
Cavalli-Sforza, L. L. and Feldman, M. W. (1973) Cultural versus biological inheritance: phenotypic transmission from parents to children (a theory of the effect of parental phenotypes on children's phenotypes). Amer. J. Hum. Genet. 25, 618–637.Google Scholar
Crow, J. F. and Felsenstein, J. (1968) The effect of assortative mating on the genetic composition of a population. Eugenics Quart. 15, 85–97.Google Scholar
Curnow, R. N. and Smith, C. (1975) Multifactorial models for familial diseases in man (with discussion). J. R. Statist. Soc. A 138, 131–169.Google Scholar
Eaves, L. J. (1976a) The effect of cultural transmission on continuous variation. Heredity 37, 41–57.CrossRefGoogle ScholarPubMed
Eaves, L. J. (1976b) A model for sibling effects in man. Heredity 36, 205–214.CrossRefGoogle Scholar
Eaves, L. J. (1977) Inferring the causes of human variation (with discussion). J. R. Statist. Soc. A 140, 324–355.Google Scholar
Eaves, L. J., Last, K., Martin, N. G. and Jinks, J. L. (1977) A progressive approach to non-additivity and genotype-environmental covariance in the analysis of human differences. Br. J. Math. Statist. Psychol. 30, 1–42.Google Scholar
Eaves, L. J., Last, K. A., Young, P. A. and Martin, N. G. (1978) Model-fitting approaches to the analysis of human behaviour. Heredity 41, 249–320.Google Scholar
Feldman, M. W. and Lewontin, R. C. (1975) The heritability hang-up. Science 190, 1163–1168.Google Scholar
Fisher, R. A. (1918) The correlation between relatives on the supposition of Mendelian inheritance. Trans. R. Soc. Edinburgh 52, 399–433.Google Scholar
Gallais, A. (1974) Covariances between arbitrary relatives with linkage and epistasis in the case of linkage disequilibrium. Biometrics 30, 429–446.Google Scholar
Holroyd, R. G. (1975) On Moran's note on heritability. Ann. Hum. Genet. 38, 379.Google Scholar
Lange, K., Westlake, J. and Spence, M. A. (1976) Extensions to pedigree analysis. III. Variance components by the scoring method. Ann. Hum. Genet. 39, 485–491.Google Scholar
Mather, K. and Jinks, J. L. (1971) Biometrical Genetics. Chapman and Hall, London.Google Scholar
Moran, P. A. P. (1973) A note on heritability and the correlation between relatives. Ann. Hum. Genet. 37, 217.Google Scholar
Nelder, J. A. and Wedderburn, R. W. M. (1972) Generalized linear models. J. R. Statist. Soc. A 135, 370–384.Google Scholar
Rao, D. C., Morton, N. E. and Yee, S. (1976) Resolution of cultural and biological inheritance by path analysis. Amer. J. Hum. Genet. 28, 228–242.Google Scholar
Wilson, S. R. (1973) The correlation between relatives under the multifactorial model with assortative mating. I and II. Ann. Hum. Genet. 37, 189–215.Google Scholar
Wilson, S. R. (1977) The correlation between estimates of familial frequencies. Ann. Hum. Genet. 41, 235–239.CrossRefGoogle ScholarPubMed
Wilson, S. R. (1978) Asymptotic behaviour of the mean of a continuous phenotypic diffusion process with overlapping generations. Ann. Hum. Genet. 41, 357–364.Google Scholar
Wright, S. (1921) Systems of mating. III. Assortative mating based on somatic resemblance. Genetics 6, 144–161.Google Scholar