Ascertainment: An Overwiew of the Classical Segregation Analysis Model for Independent Sibships

V. T. George, R. C. Elston

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

Several different methodologies for parameter estimation under various ascertainment sampling schemes have been proposed in the past. In this article, some of the methodologies that have been proposed for independent sibships under the classical segregation analysis model are synthesized, and the general likelihoods derived for single, multiple and complete ascertainment. The issue of incorporating the sibship size distribution into the analysis is addressed, and the effect of conditioning the likelihood on the observed sibship sizes is discussed. It is shown that when the number of probands in a sibship is not specified, the corresponding likelihood can be used for a broader class of ascertainment schemes than is subsumed by the classical model.

Original languageEnglish (US)
Pages (from-to)741-753
Number of pages13
JournalBiometrical Journal
Volume33
Issue number6
DOIs
Publication statusPublished - 1991
Externally publishedYes

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Keywords

  • Conditional likelihood
  • Maximum likelihood estimation
  • Proband
  • Sibship‐size distribution
  • Weighted binomial distribution

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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