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Interpretation of intrinsic and extrinsic structural relations by path analysis: theory and applications to assortative mating

Published online by Cambridge University Press:  14 April 2009

C. Robert Cloninger
C. Robert Cloninger
Affiliation:
Departments of Psychiatry and Genetics, Washington University School of Medicine, and the Jewish Hospital of St Louis, 4940 Audubon Ave., St Louis, Missouri 63110
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Summary

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The theory of path analysis is extended by considering a multivariate system of correlations from a dual perspective. Intrinsic factors exert a unidirectional influence on both the variance and covariance of dependent factors. In contrast, extrinsic factors have a bidirectional influence on the covariance structure of both antecedent and dependent factors and do not influence intrinsic variability. The mathematical model assumes a formally complete linear system of unitary factors. A coefficient is defined to quantify the influence of adventitious associations and is called a copath. Copaths are compared to path coefficients and to correlations due to common antecedents. The chain properties of these coefficients are derived along with a general formula and computational algorithm. The method is illustrated for multifactorial inheritance in extended pedigrees in the presence of different types of assortative mating.

Information

Type
Research Article
Information
Genetics Research , Volume 36 , Issue 2 , October 1980 , pp. 133 - 145
Copyright
Copyright © Cambridge University Press 1980

References

REFERENCES

Cattell, R. B. & Nesselrode, J. R. (1967). Likeness and completeness theories examined by sixteen personality factor measures on stably and unstably married couples. Journal of Personality and Social Psychology 7, 351–361.CrossRefGoogle ScholarPubMed
Cloninger, C. R., Rice, J., & Reich, T. (1979 a). Multifactorial inheritance with cultural transmission and assortative mating. II. A general model of combined polygenic and cultural inheritance. American Journal of Human Genetics 31, 176–189.Google Scholar
Cloninger, C. R., Rice, J. & Reich, T. (1979 b). Multifactorial inheritance with cultural transmission and assortative mating. III. Family structure and the analysis of experiments. American Journal of Human Genetics 31, 366–388.Google ScholarPubMed
Li, C. C. (1975). Path Analysis – A Primer, pp. 1–346. Pacific Grove, Calif: Boxwood Press.Google Scholar
Rao, D. C., Morton, N. E. & Cloninger, C. R. (1979). Path analysis under generalized assortative mating. I. Theory. Genetical Research 33, 175–188.CrossRefGoogle ScholarPubMed
Reeve, E. C. R. (1953). Studies in Quantitative Inheritance. III. Heritability and genetic correlation in progeny tests using different mating systems. Journal of Genetics 51, 520–542.CrossRefGoogle Scholar
Rice, J., Cloninger, C. R. & Reich, T. (1978). Multifactorial inheritance with cultural transmission and assortative mating. I. Description and basic properties of the unitary models. American Journal of Human Genetics 30, 618–643.Google ScholarPubMed
Wright, S. (1918). On the nature of size factors. Genetics 3, 367–374.CrossRefGoogle ScholarPubMed
Wright, S. (1921). Correlation and causation. Journal of Agricultural Research, Washington 20, 557–585.Google Scholar
Wright, S. (1923). The theory of path coefficients – a reply to Niles' criticism. Genetics 8, 239–255.CrossRefGoogle ScholarPubMed
Wright, S. (1934). The method of path coefficients. Annals of Mathematical Statistics, 5, 161–215.CrossRefGoogle Scholar
Wright, S. (1954). The interpretation of multivariate systems. In Statistics and Mathematics in Biology, (ed. O. Kempthorne, T. A. Bancroft, J. W. Gowen and J. L. Lush), pp. 11–33.Google Scholar
Wright, S. (1960). The treatment of reciprocal interaction, with or without lag by path analysis. Biometrics 16, 423–445.CrossRefGoogle Scholar
Wright, S. (1969). Evolution and Genetics of Populations, vol. 1, pp. 299–372. University of Chicago Press.Google Scholar
Wright, S. (1978). Evolution and the Genetics of Populations, vol. 4, pp. 366–438. University of Chicago Press.Google Scholar