Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-30T19:00:31.707Z Has data issue: false hasContentIssue false
  • English
  • Français

Optimal sampling for pedigree analysis: tracing a single gene

Published online by Cambridge University Press:  01 July 2016

E. A. Thompson
E. A. Thompson*
Affiliation:
University of Cambridge
*
∗Postal address: Statistical Laboratory, 16 Mill Lane, Cambridge, CB2 1SB, U.K.
Get access Rights & Permissions [Opens in a new window]

Abstract

In fitting genetic models on the basis of observations on an interrelated structure, sequential procedures can enhance efficiency. In this paper we consider the case of a rare gene segregating in a single large pedigree. The sampling rule is dictated by the effect of observations on the genotypic probability distribution of unobserved relatives; this effect is investigated.

Keywords

PEDIGREE ANALYSISGENETIC MODELSSEQUENTIAL TESTSDEPENDENT OBSERVATIONSPOSTERIOR PREDICTIONS
Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 4 , December 1982 , pp. 752 - 762
Copyright
Copyright © Applied Probability Trust 1982 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Cannings, C. and Thompson, E. A. (1977) Ascertainment in the sequential sampling of pedigrees. Clin. Genet. 12, 208–212.CrossRefGoogle ScholarPubMed
[2] Cannings, C., Thompson, E. A. and Skolnick, M. H. (1978) Probability functions on complex pedigrees. Adv. Appl. Prob. 10, 26–61.CrossRefGoogle Scholar
[3] Cosgriff, T. M., Martin, B. A., Bishop, D. T., Baty, B. J., Skolnick, M. H. and Herschgold, E. J. (1981) Familial antithrombin-III deficiency in a large Utah pedigree. Medicine. Google Scholar
[4] Ferguson, T. S. (1967) Mathematical Statistics: A Decision Theoretic Approach. Academic Press, New York.Google Scholar
[5] Go, R. C. P., Elston, R. C. and Kaplan, E. B. (1978) Efficiency and robustness of pedigree segregation analysis. Amer. J. Hum. Genet. 30, 62–69.Google Scholar
[6] Jacquard, A. (1974) The Genetic Structure of Populations. Springer-Verlag, New York.Google Scholar
[7] Thompson, E. A. (1981a) Optimal sampling for pedigree analysis; sequential schemes for sibships. Biometrics 37, 313–325.CrossRefGoogle ScholarPubMed
[8] Thompson, E. A. (1981b) Optimal sampling for pedigree analysis; relatives of affected probands. Amer. J. Hum. Genet. 33, 968–977.Google Scholar