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On an extended interpretation of linkage disequilibrium in genetic case-control association studies

Author

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  • Dickhaus Thorsten

    (Institute for Statistics, University of Bremen, P. O. Box 330 440, D-28344 Bremen, Germany)

  • Stange Jens

    (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany)

  • Demirhan Haydar

    (Hacettepe University, Department of Statistics, Ankara, Turkey)

Abstract

We are concerned with statistical inference for 2×C×K contingency tables in the context of genetic case-control association studies. Multivariate methods based on asymptotic Gaussianity of vectors of test statistics require information about the asymptotic correlation structure among these test statistics under the global null hypothesis. In the case of C=2, we show that for a wide variety of test statistics this asymptotic correlation structure is given by the standardized linkage disequilibrium matrix of the K loci under investigation. Three popular choices of test statistics are discussed for illustration. In the case of C=3, the standardized composite linkage disequilibrium matrix is the limiting correlation matrix of the K locus-specific Cochran-Armitage trend test statistics.

Suggested Citation

  • Dickhaus Thorsten & Stange Jens & Demirhan Haydar, 2015. "On an extended interpretation of linkage disequilibrium in genetic case-control association studies," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 14(5), pages 497-505, November.
    • Handle: RePEc:bpj:sagmbi:v:14:y:2015:i:5:p:497-505:n:6
    DOI: 10.1515/sagmb-2015-0024
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    References listed on IDEAS

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    1. Haydar Demirhan & Canan Hamurkaroglu, 2008. "Bayesian estimation of log odds ratios from R × C and 2 × 2 × K contingency tables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(4), pages 405-424, November.
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