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. 2001 Feb;157(2):885–897. doi: 10.1093/genetics/157.2.885

Population admixture: detection by Hardy-Weinberg test and its quantitative effects on linkage-disequilibrium methods for localizing genes underlying complex traits.

H W Deng 1, W M Chen 1, R R Recker 1
PMCID: PMC1461540  PMID: 11157005

Abstract

In association studies searching for genes underlying complex traits, the results are often inconsistent, and population admixture has been recognized qualitatively as one major potential cause. Hardy-Weinberg equilibrium (HWE) is often employed to test for population admixture; however, its power is generally unknown. Through analytical and simulation approaches, we quantify the power of the HWE test for population admixture and the effects of population admixture on increasing the type I error rate of association studies under various scenarios of population differentiation and admixture. We found that (1) the power of the HWE test for detecting population admixture is usually small; (2) population admixture seriously elevates type I error rate for detecting genes underlying complex traits, the extent of which depends on the degrees of population differentiation and admixture; (3) HWE testing for population admixture should be performed with random samples or only with controls at the candidate genes, or the test can be performed for combined samples of cases and controls at marker loci that are not linked to the disease; (4) testing HWE for population admixture generally reduces false positive association findings of genes underlying complex traits but the effect is small; and (5) with population admixture, a linkage disequilibrium method that employs cases only is more robust and yields many fewer false positive findings than conventional case-control analyses. Therefore, unless random samples are carefully selected from one homogeneous population, admixture is always a legitimate concern for positive findings in association studies except for the analyses that deliberately control population admixture.

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Selected References

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  1. Allison D. B. Transmission-disequilibrium tests for quantitative traits. Am J Hum Genet. 1997 Mar;60(3):676–690. [PMC free article] [PubMed] [Google Scholar]
  2. Blum K., Noble E. P., Sheridan P. J., Finley O., Montgomery A., Ritchie T., Ozkaragoz T., Fitch R. J., Sadlack F., Sheffield D. Association of the A1 allele of the D2 dopamine receptor gene with severe alcoholism. Alcohol. 1991 Sep-Oct;8(5):409–416. doi: 10.1016/0741-8329(91)90693-q. [DOI] [PubMed] [Google Scholar]
  3. Blum K., Noble E. P., Sheridan P. J., Montgomery A., Ritchie T., Jagadeeswaran P., Nogami H., Briggs A. H., Cohn J. B. Allelic association of human dopamine D2 receptor gene in alcoholism. JAMA. 1990 Apr 18;263(15):2055–2060. [PubMed] [Google Scholar]
  4. Boerwinkle E., Chakraborty R., Sing C. F. The use of measured genotype information in the analysis of quantitative phenotypes in man. I. Models and analytical methods. Ann Hum Genet. 1986 May;50(Pt 2):181–194. doi: 10.1111/j.1469-1809.1986.tb01037.x. [DOI] [PubMed] [Google Scholar]
  5. Boerwinkle E., Visvikis S., Welsh D., Steinmetz J., Hanash S. M., Sing C. F. The use of measured genotype information in the analysis of quantitative phenotypes in man. II. The role of the apolipoprotein E polymorphism in determining levels, variability, and covariability of cholesterol, betalipoprotein, and triglycerides in a sample of unrelated individuals. Am J Med Genet. 1987 Jul;27(3):567–582. doi: 10.1002/ajmg.1320270310. [DOI] [PubMed] [Google Scholar]
  6. Briscoe D., Stephens J. C., O'Brien S. J. Linkage disequilibrium in admixed populations: applications in gene mapping. J Hered. 1994 Jan-Feb;85(1):59–63. [PubMed] [Google Scholar]
  7. Chagnon Y. C., Pérusse L., Bouchard C. The human obesity gene map: the 1997 update. Obes Res. 1998 Jan;6(1):76–92. doi: 10.1002/j.1550-8528.1998.tb00318.x. [DOI] [PubMed] [Google Scholar]
  8. Chakraborty R., Smouse P. E. Recombination of haplotypes leads to biased estimates of admixture proportions in human populations. Proc Natl Acad Sci U S A. 1988 May;85(9):3071–3074. doi: 10.1073/pnas.85.9.3071. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Deng H. W., Chen W. M. Re: "Biased tests of association: comparisons of allele frequencies when departing from Hardy-Weinberg proportions". Am J Epidemiol. 2000 Feb 1;151(3):335–337. doi: 10.1093/oxfordjournals.aje.a010210. [DOI] [PubMed] [Google Scholar]
  10. Deng H. W., Chen W. M., Recker R. R. QTL fine mapping by measuring and testing for Hardy-Weinberg and linkage disequilibrium at a series of linked marker loci in extreme samples of populations. Am J Hum Genet. 2000 Mar;66(3):1027–1045. doi: 10.1086/302804. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Deng H. W., Lynch M. Change of genetic architecture in response to sex. Genetics. 1996 May;143(1):203–212. doi: 10.1093/genetics/143.1.203. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Devlin B., Roeder K. Genomic control for association studies. Biometrics. 1999 Dec;55(4):997–1004. doi: 10.1111/j.0006-341x.1999.00997.x. [DOI] [PubMed] [Google Scholar]
  13. Eisman J. A. Vitamin D receptor gene alleles and osteoporosis: an affirmative view. J Bone Miner Res. 1995 Sep;10(9):1289–1293. doi: 10.1002/jbmr.5650100903. [DOI] [PubMed] [Google Scholar]
  14. Feder J. N., Gnirke A., Thomas W., Tsuchihashi Z., Ruddy D. A., Basava A., Dormishian F., Domingo R., Jr, Ellis M. C., Fullan A. A novel MHC class I-like gene is mutated in patients with hereditary haemochromatosis. Nat Genet. 1996 Aug;13(4):399–408. doi: 10.1038/ng0896-399. [DOI] [PubMed] [Google Scholar]
  15. Gong G., Stern H. S., Cheng S. C., Fong N., Mordeson J., Deng H. W., Recker R. R. The association of bone mineral density with vitamin D receptor gene polymorphisms. Osteoporos Int. 1999;9(1):55–64. doi: 10.1007/s001980050116. [DOI] [PubMed] [Google Scholar]
  16. Guo S. W., Thompson E. A. Performing the exact test of Hardy-Weinberg proportion for multiple alleles. Biometrics. 1992 Jun;48(2):361–372. [PubMed] [Google Scholar]
  17. Hernández J. L., Weir B. S. A disequilibrium coefficient approach to Hardy-Weinberg testing. Biometrics. 1989 Mar;45(1):53–70. [PubMed] [Google Scholar]
  18. Holden C. Alcoholism research. A cautionary genetic tale: the sobering story of D2. Science. 1994 Jun 17;264(5166):1696–1697. doi: 10.1126/science.8209249. [DOI] [PubMed] [Google Scholar]
  19. Lander E. S., Schork N. J. Genetic dissection of complex traits. Science. 1994 Sep 30;265(5181):2037–2048. doi: 10.1126/science.8091226. [DOI] [PubMed] [Google Scholar]
  20. Louis E. J., Dempster E. R. An exact test for Hardy-Weinberg and multiple alleles. Biometrics. 1987 Dec;43(4):805–811. [PubMed] [Google Scholar]
  21. Morrison N. A., Qi J. C., Tokita A., Kelly P. J., Crofts L., Nguyen T. V., Sambrook P. N., Eisman J. A. Prediction of bone density from vitamin D receptor alleles. Nature. 1994 Jan 20;367(6460):284–287. doi: 10.1038/367284a0. [DOI] [PubMed] [Google Scholar]
  22. Nam J. M. Testing a genetic equilibrium across strata. Ann Hum Genet. 1997 Mar;61(Pt 2):163–170. doi: 10.1046/j.1469-1809.1997.6120163.x. [DOI] [PubMed] [Google Scholar]
  23. Nielsen D. M., Ehm M. G., Weir B. S. Detecting marker-disease association by testing for Hardy-Weinberg disequilibrium at a marker locus. Am J Hum Genet. 1998 Nov;63(5):1531–1540. doi: 10.1086/302114. [DOI] [PMC free article] [PubMed] [Google Scholar]
  24. Page G. P., Amos C. I. Comparison of linkage-disequilibrium methods for localization of genes influencing quantitative traits in humans. Am J Hum Genet. 1999 Apr;64(4):1194–1205. doi: 10.1086/302331. [DOI] [PMC free article] [PubMed] [Google Scholar]
  25. Pato C. N., Macciardi F., Pato M. T., Verga M., Kennedy J. L. Review of the putative association of dopamine D2 receptor and alcoholism: a meta-analysis. Am J Med Genet. 1993 Jul 15;48(2):78–82. doi: 10.1002/ajmg.1320480204. [DOI] [PubMed] [Google Scholar]
  26. Peacock M. Vitamin D receptor gene alleles and osteoporosis: a contrasting view. J Bone Miner Res. 1995 Sep;10(9):1294–1297. doi: 10.1002/jbmr.5650100904. [DOI] [PubMed] [Google Scholar]
  27. Pritchard J. K., Rosenberg N. A. Use of unlinked genetic markers to detect population stratification in association studies. Am J Hum Genet. 1999 Jul;65(1):220–228. doi: 10.1086/302449. [DOI] [PMC free article] [PubMed] [Google Scholar]
  28. Pritchard J. K., Stephens M., Rosenberg N. A., Donnelly P. Association mapping in structured populations. Am J Hum Genet. 2000 May 26;67(1):170–181. doi: 10.1086/302959. [DOI] [PMC free article] [PubMed] [Google Scholar]
  29. Risch N., Teng J. The relative power of family-based and case-control designs for linkage disequilibrium studies of complex human diseases I. DNA pooling. Genome Res. 1998 Dec;8(12):1273–1288. doi: 10.1101/gr.8.12.1273. [DOI] [PubMed] [Google Scholar]
  30. Schaid D. J., Jacobsen S. J. Biased tests of association: comparisons of allele frequencies when departing from Hardy-Weinberg proportions. Am J Epidemiol. 1999 Apr 15;149(8):706–711. doi: 10.1093/oxfordjournals.aje.a009878. [DOI] [PubMed] [Google Scholar]
  31. Shoemaker J., Painter I., Weir B. S. A Bayesian characterization of Hardy-Weinberg disequilibrium. Genetics. 1998 Aug;149(4):2079–2088. doi: 10.1093/genetics/149.4.2079. [DOI] [PMC free article] [PubMed] [Google Scholar]
  32. Spielman R. S., McGinnis R. E., Ewens W. J. Transmission test for linkage disequilibrium: the insulin gene region and insulin-dependent diabetes mellitus (IDDM). Am J Hum Genet. 1993 Mar;52(3):506–516. [PMC free article] [PubMed] [Google Scholar]
  33. Tiret L., Cambien F. Departure from Hardy-Weinberg equilibrium should be systematically tested in studies of association between genetic markers and disease. Circulation. 1995 Dec 1;92(11):3364–3365. [PubMed] [Google Scholar]
  34. Wilson E. B., Hilferty M. M. The Distribution of Chi-Square. Proc Natl Acad Sci U S A. 1931 Dec;17(12):684–688. doi: 10.1073/pnas.17.12.684. [DOI] [PMC free article] [PubMed] [Google Scholar]
  35. Xiong M. M., Krushkal J., Boerwinkle E. TDT statistics for mapping quantitative trait loci. Ann Hum Genet. 1998 Sep;62(Pt 5):431–452. doi: 10.1046/j.1469-1809.1998.6250431.x. [DOI] [PubMed] [Google Scholar]

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