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A parametric approach to kinship hypothesis testing using identity-by-descent parameters

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  • García-Magariños Manuel

    (Chemistry, Biotechnology and Food Science (IKBM), Norwegian University of Life Sciences, 1432 As, Norway Departamento de Matemáticas, Facultade de Informática, Universidade da Coruña, 15071 A Coruña, Spain)

  • Egeland Thore

    (Chemistry, Biotechnology and Food Science (IKBM), Norwegian University of Life Sciences, 1432 As, Norway)

  • López-de-Ullibarri Ignacio

    (Departamento de Matemáticas, Facultade de Informática, Universidade da Coruña, 15071 A Coruña, Spain)

  • Hjort Nils L.

    (Departament of Mathematics, Niels Henrik Abels Hus, Universitetet i Oslo, 0851 Oslo, Norway)

  • Salas Antonio

    (Unidade de Xenética, Departamento de Anatomía Patolóxica e Ciencias Forenses, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain)

Abstract

There is a large number of applications where family relationships need to be determined from DNA data. In forensic science, competing ideas are in general verbally formulated as the two hypotheses of a test. For the most common paternity case, the null hypothesis states that the alleged father is the true father against the alternative hypothesis that the father is an unrelated man. A likelihood ratio is calculated to summarize the evidence. We propose an alternative framework whereby a model and the hypotheses are formulated in terms of parameters representing identity-by-descent probabilities. There are several advantages to this approach. Firstly, the alternative hypothesis can be completely general. Specifically, the alternative does not need to specify an unrelated man. Secondly, the parametric formulation corresponds to the approach used in most other applications of statistical hypothesis testing and so there is a large theory of classical statistics that can be applied. Theoretical properties of the test statistic under the null hypothesis are studied. An extension to trios of individuals has been carried out. The methods are exemplified using simulations and a real dataset of 27 Spanish Romani individuals.

Suggested Citation

  • García-Magariños Manuel & Egeland Thore & López-de-Ullibarri Ignacio & Hjort Nils L. & Salas Antonio, 2015. "A parametric approach to kinship hypothesis testing using identity-by-descent parameters," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 14(5), pages 465-479, November.
    • Handle: RePEc:bpj:sagmbi:v:14:y:2015:i:5:p:465-479:n:3
    DOI: 10.1515/sagmb-2014-0080
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    References listed on IDEAS

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    1. Katki, Hormuzd A. & Sanders, Christopher L. & Graubard, Barry I. & Bergen, Andrew W., 2010. "Using DNA Fingerprints to Infer Familial Relationships Within NHANES III Households," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 552-563.
    2. Claeskens,Gerda & Hjort,Nils Lid, 2008. "Model Selection and Model Averaging," Cambridge Books, Cambridge University Press, number 9780521852258, October.
    3. B. Devlin & Kathryn Roeder, 1999. "Genomic Control for Association Studies," Biometrics, The International Biometric Society, vol. 55(4), pages 997-1004, December.
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