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A note on Cannings and Thompson's sequential sampling scheme for pedigrees.

S E Hodge, M Boehnke

    American Journal of Human Genetics
    |August 1, 1986
    PubMed
    Summary

    This study corrects an error in sequential pedigree sampling likelihoods for genetic analysis. While sequential and fixed sampling yield similar estimates, their significance tests and confidence intervals may differ.

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    Area of Science:

    • Genetics
    • Statistical Genetics
    • Computational Biology

    Background:

    • Sequential sampling schemes are used in genetic analysis for pedigree data.
    • Cannings and Thompson (1977) provided guidelines for valid sequential sampling.
    • Likelihood formulation in sequential sampling requires careful consideration.

    Purpose of the Study:

    • To identify and correct an error in the likelihood formulation for sequential pedigree sampling.
    • To clarify the relationship between sequential and fixed-structure pedigree sampling methods.
    • To investigate the implications of sampling methods on statistical inference.

    Main Methods:

    • Review and analysis of the likelihood formulation presented by Cannings and Thompson (1977).
    • Mathematical correction of the identified error in the likelihood.
    • Comparison of likelihoods, point estimates, significance tests, and confidence intervals between sequential and fixed-structure sampling.

    Main Results:

    • An error in the likelihood formulation for sequential pedigree sampling was identified and corrected.
    • The corrected formulation maintains the validity of sequential sampling schemes.
    • Sequential and fixed-structure pedigree sampling yield identical maximum likelihood point estimates.
    • Significance tests and confidence intervals may differ between sequential and fixed-structure sampling.

    Conclusions:

    • The corrected likelihood ensures the validity of sequential sampling in genetic analysis.
    • While point estimates are consistent, inferential statistics (tests, intervals) may vary based on sampling strategy.
    • Researchers should be aware of potential differences in significance tests and confidence intervals when using sequential versus fixed-structure pedigree sampling.

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