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Published in: BMC Medical Genetics 1/2015

Open Access 01-12-2015 | Technical advance

The importance of distinguishing between the odds ratio and the incidence rate ratio in GWAS

Authors: Berit Lindum Waltoft, Carsten Bøcker Pedersen, Mette Nyegaard, Asger Hobolth

Published in: BMC Medical Genetics | Issue 1/2015

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Abstract

Background

In recent years, genome wide association studies have identified many genetic variants that are consistently associated with common complex diseases, but the amount of heritability explained by these risk alleles is still low. Part of the missing heritability may be due to genetic heterogeneity and small sample sizes, but non-optimal study designs in many genome wide association studies may also have contributed to the failure of identifying gene variants causing a predisposition to disease. The normally used odds ratio from a classical case-control study measures the association between genotype and being diseased. In comparison, under incidence density sampling, the incidence rate ratio measures the association between genotype and becoming diseased. We estimate the differences between the odds ratio and the incidence rate ratio under the presence of events precluding the disease of interest. Such events may arise due to pleiotropy and are known as competing events. In addition, we investigate how these differences impact the association test.

Methods

We simulate life spans of individuals whose gene variants are subject to competing events. To estimate the association between genotype and disease, we applied classical case-control studies and incidence density sampling.

Results

We find significant numerical differences between the odds ratio and the incidence rate ratio when the fact that gene variant may be associated with competing events, e.g. lifetime, is ignored. The only scenario showing little or no difference is an association with a rare disease and no other present associations. Furthermore, we find that p-values for association tests differed between the two study designs.

Conclusions

If the interest is on the aetiology of the disease, a design based on incidence density sampling provides the preferred interpretation of the estimate. Under a classical case-control design and in the presence of competing events, the change in p-values in the association test may lead to false positive findings and, more importantly, false negative findings. The ranking of the SNPs according to p-values may differ between the two study designs.
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Literature
1.
go back to reference Stranger BE, Stahl EA, Raj T. Progress and promise of genome-wide association studies for human complex trait genetics. Genetics. 2011;187(2):367–83.CrossRefPubMedPubMedCentral Stranger BE, Stahl EA, Raj T. Progress and promise of genome-wide association studies for human complex trait genetics. Genetics. 2011;187(2):367–83.CrossRefPubMedPubMedCentral
2.
go back to reference Ligthart L, Hottenga JJ, Lewis CM, Farmer AE, Craig IW, Breen G, et al. Genetic risk score analysis indicates migraine with and without comorbid depression are genetically different disorders. Hum Genet. 2014;133(2):173–86. Ligthart L, Hottenga JJ, Lewis CM, Farmer AE, Craig IW, Breen G, et al. Genetic risk score analysis indicates migraine with and without comorbid depression are genetically different disorders. Hum Genet. 2014;133(2):173–86.
3.
go back to reference Simonson MA, Wills AG, Keller MC, McQueen MB. Recent methods for polygenic analysis of genome-wide data implicate an important effect of common variants on cardiovascular disease risk. BMC Med Genet. 2011;12:146.CrossRefPubMedPubMedCentral Simonson MA, Wills AG, Keller MC, McQueen MB. Recent methods for polygenic analysis of genome-wide data implicate an important effect of common variants on cardiovascular disease risk. BMC Med Genet. 2011;12:146.CrossRefPubMedPubMedCentral
4.
go back to reference Wray NR, Lee SH, Mehta D, Vinkhuyzen AA, Dudbridge F, Middeldorp CM. Research review: polygenic methods and their application to psychiatric traits. J Child Psychol Psychiatry. 2014;55(10):1068–87.CrossRefPubMed Wray NR, Lee SH, Mehta D, Vinkhuyzen AA, Dudbridge F, Middeldorp CM. Research review: polygenic methods and their application to psychiatric traits. J Child Psychol Psychiatry. 2014;55(10):1068–87.CrossRefPubMed
6.
7.
go back to reference Allignol A, Schumacher M, Wanner C, Drechsler C, Beyersmann J. Understanding competing risks: a simulation point of veiw. BMC Medical Research Methodology 2011, 11(86). doi:10.1186/1471-2288-11-86 Allignol A, Schumacher M, Wanner C, Drechsler C, Beyersmann J. Understanding competing risks: a simulation point of veiw. BMC Medical Research Methodology 2011, 11(86). doi:10.1186/1471-2288-11-86
8.
go back to reference Pearce N. What does the odds ratio estimate in a case-control study. Int J Epidemiol. 1993;22(6):1189–92. Pearce N. What does the odds ratio estimate in a case-control study. Int J Epidemiol. 1993;22(6):1189–92.
9.
go back to reference Clayton D, Hills M. Statistical models in epidemiology. New York: Oxford University Press Inc.; 1998. Clayton D, Hills M. Statistical models in epidemiology. New York: Oxford University Press Inc.; 1998.
11.
go back to reference Wacholder S, Silverman DT, McLaughlin JK, Mandel JS. Seletion of controls in case-control studies. III. Design options. Am J Epidemiol. 1992;135(9):1042–50.PubMed Wacholder S, Silverman DT, McLaughlin JK, Mandel JS. Seletion of controls in case-control studies. III. Design options. Am J Epidemiol. 1992;135(9):1042–50.PubMed
12.
go back to reference Prentice RL, Breslow NE. Retrospective studies and failure time models. Biometrika. 1978;65(1):153–8.CrossRef Prentice RL, Breslow NE. Retrospective studies and failure time models. Biometrika. 1978;65(1):153–8.CrossRef
13.
go back to reference Beyersmann J, Latouche A, Buchholz A, Schumacher M. Simulating competing risks data in survival analysis. Stat Med. 2009;28(6):956–71.CrossRefPubMed Beyersmann J, Latouche A, Buchholz A, Schumacher M. Simulating competing risks data in survival analysis. Stat Med. 2009;28(6):956–71.CrossRefPubMed
14.
go back to reference Bender R, Augustin T, Blettner M. Generating survival times to simulate Cox proportional hazards models. Stat Med. 2005;24(11):1713–23.CrossRefPubMed Bender R, Augustin T, Blettner M. Generating survival times to simulate Cox proportional hazards models. Stat Med. 2005;24(11):1713–23.CrossRefPubMed
15.
go back to reference Rosthøj S, Andersen PK, Abildstrom SZ. SAS macros for estimation of the cumulative incidence functions based on a Cox regression model for competing risks survival data. Comput Methods Programs Biomed. 2004;74(1):69–75.CrossRefPubMed Rosthøj S, Andersen PK, Abildstrom SZ. SAS macros for estimation of the cumulative incidence functions based on a Cox regression model for competing risks survival data. Comput Methods Programs Biomed. 2004;74(1):69–75.CrossRefPubMed
16.
go back to reference Breslow NE, Day NE. Statistical Methods in Cancer Research. Volume I—The Analysis of Case-Control Studies. Lyon: International Agency for Research on Cancer (IARC Scientific Publications No. 32); 1980. Breslow NE, Day NE. Statistical Methods in Cancer Research. Volume I—The Analysis of Case-Control Studies. Lyon: International Agency for Research on Cancer (IARC Scientific Publications No. 32); 1980.
17.
go back to reference Hoffmann-Jørgensen J. Probability With a View Towards Statistics, Volume 1, vol. 1. New York: Chapmann & Hall; 1994.CrossRef Hoffmann-Jørgensen J. Probability With a View Towards Statistics, Volume 1, vol. 1. New York: Chapmann & Hall; 1994.CrossRef
18.
go back to reference Fradin DD, Fallin MD. Influence of control selection in genome-wide association studies: the example of diabetes in the Framingham Heart Study. BMC Preceedings. 2009;3(7):S113.CrossRef Fradin DD, Fallin MD. Influence of control selection in genome-wide association studies: the example of diabetes in the Framingham Heart Study. BMC Preceedings. 2009;3(7):S113.CrossRef
19.
go back to reference Wang M-H, Shugart YY, Cole SR, Platz EA. A simulation study of control sampling methods for nested case-control studies of genetic and molecular biomarkers and prostate cancer progression. Cancer Epidemiol Biomarkers Prev. 2009;18(3):706–11.CrossRefPubMed Wang M-H, Shugart YY, Cole SR, Platz EA. A simulation study of control sampling methods for nested case-control studies of genetic and molecular biomarkers and prostate cancer progression. Cancer Epidemiol Biomarkers Prev. 2009;18(3):706–11.CrossRefPubMed
20.
go back to reference Greenland S, Thomas DC. On the need for the rare disease assumption in case-control studies. Am J Epidemiol. 1982;116(3):547–53.PubMed Greenland S, Thomas DC. On the need for the rare disease assumption in case-control studies. Am J Epidemiol. 1982;116(3):547–53.PubMed
21.
go back to reference Fine JP, Gray RJ. A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc. 1999;94(446):496–509.CrossRef Fine JP, Gray RJ. A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc. 1999;94(446):496–509.CrossRef
22.
go back to reference Karon JM, Kupper LL. In defense of matching. Am J Epidemiol. 1982;116(5):852–66.PubMed Karon JM, Kupper LL. In defense of matching. Am J Epidemiol. 1982;116(5):852–66.PubMed
23.
go back to reference Kupper LL, Karon JM, Kleinbaum DG, Morgenstern H, Lewis DK. Matching in epidemiologic studies: validity and efficiency considerations. Biometrics. 1981;37(2):271–91.CrossRefPubMed Kupper LL, Karon JM, Kleinbaum DG, Morgenstern H, Lewis DK. Matching in epidemiologic studies: validity and efficiency considerations. Biometrics. 1981;37(2):271–91.CrossRefPubMed
24.
go back to reference Rose S, Laan MJ. Why match? Investigating matched case-control study designs with causal effect estimation. Int J Biostat. 2009;5(1):1.CrossRefPubMedCentral Rose S, Laan MJ. Why match? Investigating matched case-control study designs with causal effect estimation. Int J Biostat. 2009;5(1):1.CrossRefPubMedCentral
25.
go back to reference Thomas DC, Greenland S. The relative efficiencies of matched and independent sample designs for case-control studies. J Chronic Dis. 1983;36(10):685–97.CrossRefPubMed Thomas DC, Greenland S. The relative efficiencies of matched and independent sample designs for case-control studies. J Chronic Dis. 1983;36(10):685–97.CrossRefPubMed
26.
go back to reference Schwartz S, Susser E. Genome-wide association studies: does only size matter? Am J Epidemiol. 2010;167(7):741–4. Schwartz S, Susser E. Genome-wide association studies: does only size matter? Am J Epidemiol. 2010;167(7):741–4.
27.
go back to reference Pedersen CB, Mortensen PB, Cantor-Graae E. Do risk factors for schizophrenia predispose to emigration? Schizophr Res. 2011;127(1–3):229–34.CrossRefPubMed Pedersen CB, Mortensen PB, Cantor-Graae E. Do risk factors for schizophrenia predispose to emigration? Schizophr Res. 2011;127(1–3):229–34.CrossRefPubMed
Metadata
Title
The importance of distinguishing between the odds ratio and the incidence rate ratio in GWAS
Authors
Berit Lindum Waltoft
Carsten Bøcker Pedersen
Mette Nyegaard
Asger Hobolth
Publication date
01-12-2015
Publisher
BioMed Central
Published in
BMC Medical Genetics / Issue 1/2015
Electronic ISSN: 1471-2350
DOI
https://doi.org/10.1186/s12881-015-0210-1

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