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Tests in a case-control design including relatives

Tests in a case-control design including relatives
Tests in a case-control design including relatives
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.
association tests, contingency tables, dependent data, risk measures
0303-6898
621-635
Biedermann, Stefanie
fe3027d2-13c3-4d9a-bfef-bcc7c6415039
Nagel, Eva
17b6b16a-c190-4f10-92fe-1721c9bbb488
Munk, Axel
edc89e7e-e274-44cd-9677-8295feb53272
Holzmannn, Hajo
c05ee737-6924-4f6d-96aa-2a91aee4ae19
Steland, Ansgar
5d83e674-f02c-4608-8b3a-3a0e40b0fdae
Biedermann, Stefanie
fe3027d2-13c3-4d9a-bfef-bcc7c6415039
Nagel, Eva
17b6b16a-c190-4f10-92fe-1721c9bbb488
Munk, Axel
edc89e7e-e274-44cd-9677-8295feb53272
Holzmannn, Hajo
c05ee737-6924-4f6d-96aa-2a91aee4ae19
Steland, Ansgar
5d83e674-f02c-4608-8b3a-3a0e40b0fdae

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).

Record type: Article

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.

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e-pub ahead of print date: 10 February 2006
Published date: December 2006
Keywords: association tests, contingency tables, dependent data, risk measures
Organisations: Statistics

Identifiers

Local EPrints ID: 41818
URI: http://eprints.soton.ac.uk/id/eprint/41818
ISSN: 0303-6898
PURE UUID: c9b6a6a4-7b5a-4801-8514-e0941693a765
ORCID for Stefanie Biedermann: ORCID iD orcid.org/0000-0001-8900-8268

Catalogue record

Date deposited: 05 Oct 2006
Last modified: 27 Jul 2019 00:34

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Contributors

Author: Eva Nagel
Author: Axel Munk
Author: Hajo Holzmannn
Author: Ansgar Steland

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