The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Mendelian randomization with a binary exposure variable: interpretation and presentation of causal estimates
Open accessAbstract
Mendelian randomization uses genetic variants to make causal inferences about a modifiable exposure. Subject to a genetic variant satisfying the instrumental variable assumptions, an association between the variant and outcome implies a causal effect of the exposure on the outcome. Complications arise with a binary exposure that is a dichotomization of a continuous risk factor (for example, hypertension is a dichotomization of blood pressure). This can lead to violation of the exclusion restriction assumption: the genetic variant can influence the outcome via the continuous risk factor even if the binary exposure does not change. Provided the instrumental variable assumptions are satisfied for the underlying continuous risk factor, causal inferences for the binary exposure are valid for the continuous risk factor. Causal estimates for the binary exposure assume the causal effect is a stepwise function at the point of dichotomization. Even then, estimation requires further parametric assumptions. Under monotonicity, the causal estimate represents the average causal effect in 'compliers', individuals for whom the binary exposure would be present if they have the genetic variant and absent otherwise. Unlike in randomized trials, genetic compliers are unlikely to be a large or representative subgroup of the population. Under homogeneity, the causal effect of the exposure on the outcome is assumed constant in all individuals; rarely a plausible assumption. We here provide methods for causal estimation with a binary exposure (although subject to all the above caveats). Mendelian randomization investigations with a dichotomized binary exposure should be conceptualized in terms of an underlying continuous variable.
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“Also, if the exposure is a dichotomisation of a continuous risk factor, this poses a further threat to the violation of the exclusion restriction assumption.114”
From Strengthening the Reporting of Observational Studies in Epidemiology using Mendelian Randomisation (STROBE-MR): explanation and elaboration. (2021) · cites this paper as [114]
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“Caution is especially warranted when interpreting effect estimates with a binary exposure.114”
From Strengthening the Reporting of Observational Studies in Epidemiology using Mendelian Randomisation (STROBE-MR): explanation and elaboration. (2021) · cites this paper as [114]
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Cites
Introductory Econometrics: A Modern Approach
Wooldridge, J. M. (1999) · Cited by 14,354
Bowden, J., Davey Smith, G., & Burgess, S. (2015) · International Journal of Epidemiology · doi:10.1093/ije/dyv080 · Cited by 9,816
Self-citationMostly Harmless Econometrics: An Empiricist's Companion
Angrist, J. D., & Pischke, J.-S. (2009) · doi:10.1515/9781400829828 · Cited by 9,467
Bowden, J., Davey Smith, G., Haycock, P. C., & Burgess, S. (2016) · Genetic Epidemiology · doi:10.1002/gepi.21965 · Cited by 8,922
Self-citationMendelian Randomization Analysis With Multiple Genetic Variants Using Summarized Data
Burgess, S., Butterworth, A., & Thompson, S. G. (2013) · Genetic Epidemiology · doi:10.1002/gepi.21758 · Cited by 6,050
Self-citationDavey Smith, G., & Ebrahim, S. (2003) · International Journal of Epidemiology · doi:10.1093/ije/dyg070 · Cited by 5,882
Identification of Causal Effects Using Instrumental Variables
Angrist, J. D., Imbens, G. W., & Rubin, D. B. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10476902 · Cited by 4,230
EPIC- InterAct Consortium, Burgess, S., Scott, R. A., Timpson, N. J., Davey Smith, G., & Thompson, S. G. (2015) · European Journal of Epidemiology · doi:10.1007/s10654-015-0011-z · Cited by 1,803
Self-citationCalculating statistical power in Mendelian randomization studies.
Brion, M.-J. A., Shakhbazov, K., & Visscher, P. M. (2013) · International Journal of Epidemiology · doi:10.1093/ije/dyt179 · Cited by 1,751
Instruments for Causal Inference: An Epidemiologist's Dream?
Hernán, M. A., & Robins, J. M. (2006) · Epidemiology · doi:10.1097/01.ede.0000222409.00878.37 · Cited by 961
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Arora, N., Bhatta, L., Skarpsno, E. S., Dalen, H., Åsvold, B. O., Brumpton, B. M., Richmond, R. C., & Strand, L. B. (2023) · Figshare · doi:10.6084/m9.figshare.24257479
Deng, Z., Li, J., Zhang, Y., & Zhang, Y. (2024) · Figshare · doi:10.6084/m9.figshare.26721663
Li, H., Pan, X., Zhang, S., Shen, X., Li, W., Shang, W., Wen, Z., Huang, S., Chen, L., Zhang, X., et al. (2024) · Figshare · doi:10.6084/m9.figshare.26650038
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Liang, Y. Y., Chen, J., Peng, M., Zhou, J., Chen, X., Tan, X., Wang, N., Ma, H., Guo, L., Zhang, J., et al. (2023) · Figshare · doi:10.6084/m9.figshare.22616755
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Li, H., Pan, X., Zhang, S., Shen, X., Li, W., Shang, W., Wen, Z., Huang, S., Chen, L., Zhang, X., et al. (2024) · Figshare · doi:10.6084/m9.figshare.24751653
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Higbee, D., Granell, R., Hemani, G., Smith, G. D., & Dodd, J. W. (2021) · Figshare · doi:10.6084/m9.figshare.15040929
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Deng, Z., Li, J., Zhang, Y., & Zhang, Y. (2024) · Figshare · doi:10.6084/m9.figshare.25844544
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Escala-Garcia, M., Morra, A., Canisius, S., Chang-Claude, J., Kar, S., Zheng, W., Bojesen, S. E., Easton, D., Pharoah, P. D. P., & Schmidt, M. K. (2020) · Figshare · doi:10.6084/m9.figshare.13245823
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Lin, J., Zhou, Y., Xie, T., Zhang, J. B., Chen, Z., Chang, Z., Wang, Y., Snieder, H., Thio, C. H. L., & Hartman, C. A. (2025) · Twin Research and Human Genetics · doi:10.1017/thg.2025.10037
Wootton, R. E., Crowley, J. J., Pol-Fuster, J., Holmberg, A. H., Rück, C., Mataix‐Cols, D., & de la Cruz, L. F. (2026) · American Journal of Medical Genetics Part B Neuropsychiatric Genetics · doi:10.1002/ajmgb.70003
Zhou, J., Xu, Y., Wang, H., Chen, C., & Wang, K. (2026) · Journal of International Medical Research · doi:10.1177/03000605251406787
Tsao, N. L., Abramowitz, S. A., Shakt, G. E., Judy, R., Hilliard, A. T., Damrauer, S. M., Assimes, T. L., Clarke, S. L., Tcheandjieu, C., Levin, M. L., et al. (2026) · Circulation Genomic and Precision Medicine · doi:10.1161/circgen.125.005266
Lotfy, N. (2026) · BMC Bioinformatics · doi:10.1186/s12859-026-06388-1
Zhang, M., Liu, Q., Ju, L., Zheng, Y., Dou, K., Chen, W., & Guo, Y. (2026) · Respiratory Research · doi:10.1186/s12931-026-03562-0
McDowell, S., Beaumont, R. N., Green, H., Kingdom, R., Vabistsevits, M., Prague, J., Murray, A., Tyrrell, J., & Ruth, K. S. (2026) · medRxiv · doi:10.64898/2026.03.06.26347586
Li, Z., Chen, L., Tang, H. A. N. Z. E., He, X., Yang, J., Li, W., Liu, J., Han, T., & Li, A. (2026) · The Journal of Maternal-Fetal & Neonatal Medicine · doi:10.1080/14767058.2026.2640654
Li, C., Chen, Y., Yao, Y., & Shang, Y. (2026) · Current Medicinal Chemistry · doi:10.2174/0109298673377176251207133923
Baek, K., Park, J. G., Lee, Y. R., Park, S. Y., Kweon, Y. O., & Tak, W. Y. (2026) · Gut and Liver · doi:10.5009/gnl250100
Chu, S., Casanova, F., Bala, R., Howes, O. D., Osimo, E. F., de Marvao, A., Ardissino, M., O’Regan, D. P., McIntosh, A., Strawbridge, R. J., et al. (2026) · Biological Psychiatry Global Open Science · doi:10.1016/j.bpsgos.2026.100783
New‐Onset Type 2 Diabetes Mellitus and Cancer Risk: A Matched Cohort Study in China Kadoorie Biobank
Wang, M., Tipping, O., Liu, B., Bennett, D. A., Shen, B., Zou, S., Zhao, S., Martin, R. M., Sperrin, M., & Renehan, A. G. (2026) · International Journal of Cancer · doi:10.1002/ijc.70638
Kiser, H., Budu‐Aggrey, A., Bailey, J. N. C., Villaplana-Velasco, A., Bernabéu, M. O., Jiang, X., Owen, C. G., Haines, J. L., Pasquale, L. R., MacGregor, S., et al. (2026) · The Journal of Prevention of Alzheimer s Disease · doi:10.1016/j.tjpad.2026.100635
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Yang, Y., Tang, B., Hysaj, E., Xiang, N., Qu, S., Hägg, S., Valdimarsdóttir, U. A., Bertone-Johnson, E., Lu, Y., & Lu, D. (2026) · npj Mental Health Research · doi:10.1038/s44184-026-00231-4
Wang, G., & Chen, J. (2026) · Nutrition Clinique et Métabolisme · doi:10.1016/j.nupar.2026.103058
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Mäkelä, E., Kari, J. T., Genechten, S. V., Bottas, R., Sillanpää, E., & Joensuu, L. (2026) · medRxiv · doi:10.64898/2026.08.18.26360577
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Weng, D., & Fan, R. (2026) · European Archives of Psychiatry and Clinical Neuroscience · doi:10.1007/s00406-026-02366-z
Kim, J. E., Lee, H., Oh, Y. E., Kim, T., Min, Y. W., Min, B., Lee, J. H., & Rhee, P. (2026) · Genes · doi:10.3390/genes17091077
Shang, J., Zhang, X., Hou, S., Zhou, X., Xie, H., & Ma, R. (2026) · International Journal of Clinical Practice · doi:10.1155/ijcp/6635057
Lee, H., Min, Y. W., & Kim, T. J. (2026) · Microorganisms · doi:10.3390/microorganisms14102193
Beheshti, S. O., Larsen, M., Nordestgaard, B. G., & Afzal, S. (2026) · Acta Ophthalmologica · doi:10.1111/aos.70253
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Metadata
- Authors
- Burgess, S., & Labrecque, J. A.
- Affiliations
- University of Cambridge (GB)
- Erasmus MC (NL)
- Corresponding author
- Burgess, Stephen
- Venue
- European Journal of Epidemiology
- Published
- 2018-07-23
- Volume
- 33
- Issue
- 10
- Pages
- 947-952
- ISSN
- 0393-2990 (ISSN-L)
- 1573-7284
- PMC
- PMC6153517
- OpenAlex
- W2797906093
- Cited by
- 569
- References
- 28
- Citations by year
- 2026: 30 · 2025: 66 · 2024: 173 · 2023: 107 · 2022: 67 · 2021: 68 · 2020: 33 · 2019: 24 · 2018: 1
- FWCI
- 19.28
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- European Journal of Epidemiology (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, other-oa)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- EUR Research Repository (Erasmus University Rotterdam) (publishedVersion, other-oa)
- arXiv (Cornell University) (submittedVersion)
- EUR Research Repository (Erasmus University Rotterdam) (submittedVersion, other-oa)
- RePub (Erasmus University Rotterdam) (submittedVersion, other-oa)
- Apollo (University of Cambridge) (submittedVersion, cc-by)
- arXiv (Cornell University) (cc-by)
- Apollo (cc-by)
- Funders
- Wellcome Trust (204623/Z/16/Z)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- Mendelian randomization, binary exposure, dichotomization, exclusion restriction, monotonicity, homogeneity, average causal effect, hypertension, blood pressure, causal effect estimation
- MeSH terms
- Blood Pressure, Humans, Hypertension, Models, Genetic, Random Allocation, Risk Factors, Genetic Variation, Models, Statistical, Likelihood Functions, Mendelian Randomization Analysis
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