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Tests in a Case-Control Design Including Relatives

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  • Biedermann, Stefanie
  • Nagel, Eva-Renate
  • Munk, Axel
  • Holzmann, Hajo
  • Steland, Ansgar

Abstract

We present a new approach to handle dependencies within the general framework of case-control designs, illustrating our approach by a particular application from the field of genetic epidemiology. The method is derived for parent-offspring trios, which will later be relaxed to more general family structures. For applications in genetic epidemiology we consider tests on equality of allele frequencies among cases and controls utilizing well-known risk measures to test for independence of phenotype and genotype at the observed locus. These test statistics are derived as functions of the entries in the associated contingency table containing the numbers of the alleles under consideration in the case and the control group. We find the joint asymptotic distribution of these entries, which enables us to derive critical values for any test constructed on this basis. A simulation study reveals the finite sample behavior of our test statistics.

Suggested Citation

  • Biedermann, Stefanie & Nagel, Eva-Renate & Munk, Axel & Holzmann, Hajo & Steland, Ansgar, 2006. "Tests in a Case-Control Design Including Relatives," Technical Reports 2006,05, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200605
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    References listed on IDEAS

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    1. Mary Sara McPeek & Xiaodong Wu & Carole Ober, 2004. "Best Linear Unbiased Allele-Frequency Estimation in Complex Pedigrees," Biometrics, The International Biometric Society, vol. 60(2), pages 359-367, June.
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