WIAS Preprint No. 2029, (2014)

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


  • Dickhaus, Thorsten
  • Stange, Jens
  • Demirhan, Haydar

2010 Mathematics Subject Classification

  • 62J15 62P10 62E20


  • Asymptotic Gaussianity, chi-squared statistic, contingency table, correlation structure, Delta method, Fisher's exact test, odds ratio




We are concerned with statistical inference for 2 x 2 x 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. We show that for a wide variety of test statistics this asymptotic correlation structure is given by the linkage disequilibrium matrix of the K loci under investigation. Three popular choices of test statistics are discussed for illustration.

Appeared in

  • Appl. Genet. Mol. Biol., 14:5 (2015), pp. 497--505.

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