Tests in a case-control design including relatives
Biedermann, Stefanie, Nagel, Eva, Munk, Axel, Holzmannn, Hajo and Steland, Ansgar (2006) Tests in a case-control design including relatives. Scandinavian Journal of Statistics, 33, (4), 621-635. (doi:10.1111/j.1467-9469.2006.00500.x).
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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.
|Keywords:||association tests, contingency tables, dependent data, risk measures|
|Subjects:||Q Science > QA Mathematics
H Social Sciences > HA Statistics
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Statistics
|Date Deposited:||03 Jul 2007|
|Last Modified:||06 Aug 2015 02:38|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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Tests in a case control design including relatives. (deposited 05 Oct 2006)
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