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Detection of regulation of family size after births of affected children

Published online by Cambridge University Press:  01 July 2016

Jon Stene
Jon Stene*
Affiliation:
Institute of Statistics, University of Copenhagen
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Extract

For family data where some of the children may have a certain inherited disorder, the number of affected children has usually been assumed to be binomially distributed given the total number of children in the family. In this assumption is included the assumption that the distribution of the total number of children does not depend on the probability that a child is affected. For many disorders this assumption is unlikely to hold because the birth of an affected child may lead either to some sort of family limitation or to some sort of overcompensation. In such cases models other than the binomial distribution have to be used.

Type
Symposium on Mathematical Genetics, London, 26–27 March 1979
Information
Advances in Applied Probability , Volume 12 , Issue 1 , March 1980 , pp. 10
Copyright
Copyright © Applied Probability Trust 1980 

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References

Stene, J. (1978) Choice of ascertainment model I. Discrimination between single-proband models by means of birth order data. Ann. Hum. Genet., Lond. 42, 219–229.Google Scholar
Stene, J. (1979) Choice of ascertainment model II. Discrimination between multi-proband models by means of birth order data. Ann. Hum. Genet., Lond. 42, 493–505.Google Scholar