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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.

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

References

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