Collider bias undermines our understanding of COVID-19 disease risk and severity
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Abstract
Numerous observational studies have attempted to identify risk factors for infection with SARS-CoV-2 and COVID-19 disease outcomes. Studies have used datasets sampled from patients admitted to hospital, people tested for active infection, or people who volunteered to participate. Here, we highlight the challenge of interpreting observational evidence from such non-representative samples. Collider bias can induce associations between two or more variables which affect the likelihood of an individual being sampled, distorting associations between these variables in the sample. Analysing UK Biobank data, compared to the wider cohort the participants tested for COVID-19 were highly selected for a range of genetic, behavioural, cardiovascular, demographic, and anthropometric traits. We discuss the mechanisms inducing these problems, and approaches that could help mitigate them. While collider bias should be explored in existing studies, the optimal way to mitigate the problem is to use appropriate sampling strategies at the study design stage.
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2 retracted
RETRACTED: Cardiovascular Disease, Drug Therapy, and Mortality in Covid-19
Mehra, M. R., Desai, S. S., Kuy, S., Henry, T. D., & Patel, A. N. (2020) · New England Journal of Medicine · doi:10.1056/nejmoa2007621 · Cited by 1,428 · see citing works
RetractedMehra, M. R., Desai, S. S., Kuy, S., Henry, T. D., & Patel, A. N. (2020) · New England Journal of Medicine · doi:10.1056/nejmc2021225 · Cited by 463 · see citing works
Retracted<b>lavaan</b> : An <i>R</i> Package for Structural Equation Modeling
Rosseel, Y. (2012) · Journal of Statistical Software · doi:10.18637/jss.v048.i02 · Cited by 27,955 · see citing works
The UK Biobank resource with deep phenotyping and genomic data
Bycroft, C., Freeman, C., Petkova, D., Band, G., Elliott, L. T., Sharp, K., Motyer, A., Vukcevic, D., Delaneau, O., O’Connell, J., et al. (2018) · Nature · doi:10.1038/s41586-018-0579-z · Cited by 8,876 · see citing works
Ruan, Q., Yang, K., Wang, W., Jiang, L., & Song, J. (2020) · Intensive Care Medicine · doi:10.1007/s00134-020-05991-x · Cited by 4,898 · see citing works
Clinical characteristics of 113 deceased patients with coronavirus disease 2019: retrospective study
Chen, T., Wu, D., Chen, H., Yan, W., Yang, D., Chen, G., Ma, K., Xu, D., Yu, H., Wang, H., et al. (2020) · BMJ · doi:10.1136/bmj.m1091 · Cited by 3,903 · see citing works
Causal Diagrams for Epidemiologic Research
Greenland, S., Pearl, J., & Robins, J. M. (1999) · Epidemiology · doi:10.1097/00001648-199901000-00008 · Cited by 3,728 · see citing works
Galit Shmueli, A. (2010) · Statistical Science · doi:10.1214/10-sts330 · Cited by 3,121 · see citing works
Wynants, L., Van Calster, B., Bonten, M. M., Collins, G. S., Debray, T. P., De Vos, M., Haller, M. C., Heinze, G., Moons, K. G., Riley, R. D., et al. (2020) · doi:10.1101/2020.03.24.20041020 · Cited by 3,070 · see citing works
Air Pollution and Hospital Admissions for Heart Disease in Eight U.S. Counties
Schwartz, J. D. (1999) · Epidemiology · doi:10.1097/00001648-199901000-00005 · Cited by 3,044 · see citing works
Robust causal inference using directed acyclic graphs: the R package ‘dagitty’
Textor, J., van der Zander, B., Gilthorpe, M. S., Liśkiewicz, M., & Ellison, G. T. H. (2017) · International Journal of Epidemiology · doi:10.1093/ije/dyw341 · Cited by 2,295 · see citing works
Maternal Pesticide Exposure from Multiple Sources and Selected Congenital Anomalies
Shaw, G. M., Wasserman, C. R., O’Malley, C. D., Nelson, V. E., & Jackson, R. J. (1999) · Epidemiology · doi:10.1097/00001648-199901000-00011 · Cited by 1,783 · see citing works
Review of inverse probability weighting for dealing with missing data
Seaman, S. R., & White, I. R. (2011) · Statistical Methods in Medical Research · doi:10.1177/0962280210395740 · Cited by 1,683 · see citing works
Negative Controls: A Tool for Detecting Confounding and Bias in Observational Studies
Lipsitch, M., Tchetgen Tchetgen, E., & Cohen, T. (2010) · Epidemiology · doi:10.1097/ede.0b013e3181d61eeb · Cited by 1,583 · see citing works
Real-time tracking of self-reported symptoms to predict potential COVID-19
Menni, C., Valdes, A. M., Freidin, M. B., Sudre, C. H., Nguyen, L. H., Drew, D. A., Ganesh, S., Varsavsky, T., Cardoso, M. J., El-Sayed Moustafa, J. S., et al. (2020) · Nature Medicine · doi:10.1038/s41591-020-0916-2 · Cited by 1,517 · see citing works
Spread of SARS-CoV-2 in the Icelandic population
Gudbjartsson, D. F., Helgason, A., Jonsson, H., Magnusson, O. T., Melsted, P., Norddahl, G. L., Saemundsdottir, J., Sigurdsson, A., Sulem, P., Agustsdottir, A. B., et al. (2020) · New England Journal of Medicine · doi:10.1056/nejmoa2006100 · Cited by 1,248 · see citing works
Endogenous Selection Bias: The Problem of Conditioning on a Collider Variable
Elwert, F., & Winship, C. (2014) · Annual Review of Sociology · doi:10.1146/annurev-soc-071913-043455 · Cited by 1,168 · see citing works
Zhang, P., Zhu, L., Cai, J., Lei, F., Qin, J.-J., Xie, J., Liu, Y.-M., Zhao, Y.-C., Huang, X., Lin, L., et al. (2020) · Circulation Research · doi:10.1161/circresaha.120.317134 · Cited by 1,133 · see citing works
Asymptomatic Transmission, the Achilles’ Heel of Current Strategies to Control Covid-19
Gandhi, M., Yokoe, D. S., & Havlir, D. V. (2020) · New England Journal of Medicine · doi:10.1056/nejme2009758 · Cited by 1,093 · see citing works
Renin–Angiotensin–Aldosterone System Inhibitors and Risk of Covid-19
Reynolds, H. R., Adhikari, S., Pulgarin, C., Troxel, A. B., Iturrate, E., Johnson, S. B., Hausvater, A., Newman, J. D., Berger, J. S., Bangalore, S., et al. (2020) · New England Journal of Medicine · doi:10.1056/nejmoa2008975 · Cited by 1,058 · see citing works
Thinking Clearly About Correlations and Causation: Graphical Causal Models for Observational Data
Rohrer, J. M. (2018) · Advances in Methods and Practices in Psychological Science · doi:10.1177/2515245917745629 · Cited by 1,002 · see citing works
Collider scope: when selection bias can substantially influence observed associations
Munafò, M. R., Tilling, K., Taylor, A. E., Evans, D. M., & Davey Smith, G. (2018) · International Journal of Epidemiology · doi:10.1093/ije/dyx206 · Cited by 813 · see citing works
Self-citationQuantifying Biases in Causal Models: Classical Confounding vs Collider-Stratification Bias
Greenland, S. (2003) · Epidemiology · doi:10.1097/01.ede.0000042804.12056.6c · Cited by 810 · see citing works
Illustrating bias due to conditioning on a collider
Cole, S. R., Platt, R. W., Schisterman, E. F., Chu, H., Westreich, D., Richardson, D., & Poole, C. (2010) · International Journal of Epidemiology · doi:10.1093/ije/dyp334 · Cited by 796 · see citing works
Desai, R. J., & Franklin, J. M. (2019) · BMJ · doi:10.1136/bmj.l5657 · Cited by 657 · see citing works
Meng, J., Xiao, G., Zhang, J., He, X., Ou, M., Bi, J., Yang, R., Di, W., Wang, Z., Li, Z., et al. (2020) · Emerging Microbes & Infections · doi:10.1080/22221751.2020.1746200 · Cited by 619 · see citing works
de Lusignan, S., Dorward, J., Correa, A., Jones, N. R., Akinyemi, O., Amirthalingam, G., Andrews, N., Byford, R. C., Dabrera, G., Elliot, A. J., et al. (2020) · The Lancet Infectious Diseases · doi:10.1016/s1473-3099(20)30371-6 · Cited by 593 · see citing works
Evidence mounts on the disproportionate effect of COVID-19 on ethnic minorities
Kirby, T. (2020) · The Lancet Respiratory Medicine · doi:10.1016/s2213-2600(20)30228-9 · Cited by 521 · see citing works
The impact of ethnicity on clinical outcomes in COVID-19: A systematic review
Pan, D., Sze, S., Minhas, J. S., Bangash, M. N., Pareek, N., Divall, P., Williams, C., Oggioni, M. R., Squire, I. B., Nellums, L. B., et al. (2020) · EClinicalMedicine · doi:10.1016/j.eclinm.2020.100404 · Cited by 520 · see citing works
Evidence of bias in estimates of influenza vaccine effectiveness in seniors
Jackson, L. A., Jackson, M. L., Nelson, J. C., Neuzil, K. M., & Weiss, N. S. (2005) · International Journal of Epidemiology · doi:10.1093/ije/dyi274 · Cited by 490 · see citing works
Projecting hospital utilization during the COVID-19 outbreaks in the United States
Moghadas, S. M., Shoukat, A., Fitzpatrick, M. C., Wells, C. R., Sah, P., Pandey, A., Sachs, J. D., Wang, Z., Meyers, L. A., Singer, B. H., et al. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2004064117 · Cited by 480 · see citing works
Mansournia, M. A., & Altman, D. G. (2016) · BMJ · doi:10.1136/bmj.i189 · Cited by 434 · see citing works
SARS-CoV2: should inhibitors of the renin–angiotensin system be withdrawn in patients with COVID-19?
Kuster, G. M., Pfister, O., Burkard, T., Zhou, Q., Twerenbold, R., Haaf, P., Widmer, A. F., & Osswald, S. (2020) · European Heart Journal · doi:10.1093/eurheartj/ehaa235 · Cited by 395 · see citing works
A nicotinic hypothesis for Covid-19 with preventive and therapeutic implications
Changeux, J., Amoura, Z., Rey, F. A., & Miyara, M. (2020) · Comptes Rendus Biologies · doi:10.5802/crbiol.8 · Cited by 302 · see citing works
Effects of Adjusting for Instrumental Variables on Bias and Precision of Effect Estimates
Myers, J. A., Rassen, J. A., Gagne, J. J., Huybrechts, K. F., Schneeweiß, S., Rothman, K. J., Joffe, M. M., & Glynn, R. J. (2011) · American Journal of Epidemiology · doi:10.1093/aje/kwr364 · Cited by 286 · see citing works
Paternoster, L., Tilling, K., & Davey Smith, G. (2017) · PLOS Genetics · doi:10.1371/journal.pgen.1006944 · Cited by 271 · see citing works
Self-citationGenetic analyses identify widespread sex-differential participation bias
Pirastu, N., Cordioli, M., Nandakumar, P., Mignogna, G., Abdellaoui, A., Hollis, B., Kanai, M., Rajagopal, V. M., Parolo, P. D. B., Baya, N., et al. (2021) · Nature Genetics · doi:10.1038/s41588-021-00846-7 · Cited by 251 · see citing works
Menni, C., Valdes, A. M., Freidin, M. B., et al. (2020) · medRxiv · doi:10.1101/2020.04.05.20048421 · Cited by 232 · see citing works
Bradley-Terry Models in R : The BradleyTerry2 Package
Turner, H., & Firth, D. (2012) · Journal of Statistical Software · doi:10.18637/jss.v048.i09 · Cited by 231 · see citing works
Software Application Profile: PHESANT: a tool for performing automated phenome scans in UK Biobank
Millard, L. A. C., Davies, N. M., Gaunt, T. R., Smith, G. D., & Tilling, K. M. (2017) · International Journal of Epidemiology · doi:10.1093/ije/dyx204 · Cited by 228 · see citing works
Self-citationTostmann, A., Bradley, J. D., Bousema, T., et al. (2020) · Eurosurveillance · doi:10.2807/1560-7917.es.2020.25.16.2000508 · Cited by 228 · see citing works
Bean, D. M., Kraljević, Ž., Searle, T., Bendayan, R., O’Gallagher, K., Pickles, A. R., Folarin, A., Roguski, Ł., Noor, K., Shek, A., et al. (2020) · European Journal of Heart Failure · doi:10.1002/ejhf.1924 · Cited by 228 · see citing works
Tsang, T. K., Wu, P., Lin, Y., Lau, E. H. Y., Leung, G. M., & Cowling, B. J. (2020) · The Lancet Public Health · doi:10.1016/s2468-2667(20)30089-x · Cited by 204 · see citing works
Lourenço, J., Paton, R. S., Thompson, C., Klenerman, P., & Gupta, S. (2020) · medRxiv · doi:10.1101/2020.03.24.20042291 · Cited by 199 · see citing works
Invited commentary: understanding bias amplification.
Pearl, J. (2011) · American Journal of Epidemiology · doi:10.1093/aje/kwr352 · Cited by 197 · see citing works
Goren, A., Vañó-Galván, S., Wambier, C. G., McCoy, J. M., Gómez‐Zubiaur, A., Moreno‐Arrones, Ó. M., Shapiro, J., Sinclair, R. D., Gold, M. H., Kovacevic, M., et al. (2020) · Journal of Cosmetic Dermatology · doi:10.1111/jocd.13443 · Cited by 195 · see citing works
Taylor, A. E., Jones, H. J., Sallis, H., Euesden, J., Stergiakouli, E., Davies, N. M., Zammit, S., Lawlor, D. A., Munafò, M. R., Davey Smith, G., et al. (2018) · International Journal of Epidemiology · doi:10.1093/ije/dyy060 · Cited by 192 · see citing works
Self-citationKuchler, T., Russel, D., & Stroebel, J. (2021) · Journal of Urban Economics · doi:10.1016/j.jue.2020.103314 · Cited by 182 · see citing works
Bounding Bias Due to Selection
Smith, L. H., & VanderWeele, T. J. (2019) · Epidemiology · doi:10.1097/ede.0000000000001032 · Cited by 168 · see citing works
Genetic predictors of participation in optional components of UK Biobank
Tyrrell, J., Zheng, J., Beaumont, R., Hinton, K., Richardson, T. G., Wood, A. R., Davey Smith, G., Frayling, T. M., & Tilling, K. (2021) · Nature Communications · doi:10.1038/s41467-021-21073-y · Cited by 162 · see citing works
Self-citationKuchler, T., Russel, D., & Stroebel, J. (2020) · National Bureau of Economic Research · doi:10.3386/w26990 · Cited by 155 · see citing works
Accurate Statistics on COVID-19 Are Essential for Policy Guidance and Decisions
Pearce, N., Vandenbroucke, J. P., VanderWeele, T. J., et al. (2020) · American Journal of Public Health · doi:10.2105/ajph.2020.305708 · Cited by 142 · see citing works
Patel, A. P., Paranjpe, M. D., Kathiresan, N., Rivas, M. A., & Khera, A. V. (2020) · International Journal for Equity in Health · doi:10.1186/s12939-020-01227-y · Cited by 140 · see citing works
To Adjust or Not to Adjust? Sensitivity Analysis of M-Bias and Butterfly-Bias
Ding, P., & Miratrix, L. (2014) · Journal of Causal Inference · doi:10.1515/jci-2013-0021 · Cited by 138 · see citing works
Armstrong, J., Rudkin, J., Allen, N. E., Crook, D. W., Wilson, D. J., Wyllie, D. H., & O’Connell, A. M. (2020) · Microbial Genomics · doi:10.1099/mgen.0.000397 · Cited by 138 · see citing works
Linear Models: A Useful "Microscope" for Causal Analysis
Pearl, J. (2013) · Journal of Causal Inference · doi:10.1515/jci-2013-0003 · Cited by 132 · see citing works
Arnold, B. F., Ercümen, A., Benjamin‐Chung, J., & Colford, J. M. (2016) · Epidemiology · doi:10.1097/ede.0000000000000504 · Cited by 130 · see citing works
Comparisons of Online Recruitment Strategies for Convenience Samples
Antoun, C., Zhang, C., Conrad, F. G., & Schober, M. F. (2015) · Field Methods · doi:10.1177/1525822x15603149 · Cited by 124 · see citing works
MRC IEU UK Biobank GWAS pipeline version 2
Mitchell, R., Elsworth, B., Mitchell, R., Raistrick, C., Paternoster, L., Hemani, G., & Gaunt, T. R. (2019) · Bristol Research (University of Bristol) · doi:10.5523/bris.pnoat8cxo0u52p6ynfaekeigi · Cited by 120 · see citing works
Self-citationInvited Commentary: Selection Bias Without Colliders
Hernán, M. A. (2017) · American Journal of Epidemiology · doi:10.1093/aje/kwx077 · Cited by 116 · see citing works
Drugs and the renin-angiotensin system in covid-19
Aronson, J. K., & Ferner, R. E. (2020) · BMJ · doi:10.1136/bmj.m1313 · Cited by 115 · see citing works
Adamopoulos, C., Meyer, P., Desai, R. V., Karatzidou, K., Ovalle, F., White, M., Aban, I., Love, T. E., DEEDWANIA, P. C., Anker, S. D., et al. (2010) · European Journal of Heart Failure · doi:10.1093/eurjhf/hfq159 · Cited by 99 · see citing works
Low rate of daily active tobacco smoking in patients with symptomatic COVID-19Preprint
Miyara, M., Tubach, F., Pourcher, V., Morélot‐Panzini, C., Pernet, J., Haroche, J., Lebbah, S., Morawiec, É., Gorochov, G., Caumes, É., et al. (2020) · Qeios · doi:10.32388/wpp19w.4 · Cited by 99 · see citing works
Implications of M Bias in Epidemiologic Studies: A Simulation Study
Liu, W., Brookhart, M. A., Schneeweiß, S., Mi, X., & Setoguchi, S. (2012) · American Journal of Epidemiology · doi:10.1093/aje/kws165 · Cited by 98 · see citing works
Recovering from Selection Bias in Causal and Statistical Inference
Bareinboim, E., Tian, J. W., & Pearl, J. (2022) · ACM eBooks · doi:10.1145/3501714.3501740 · Cited by 94 · see citing works
Recovering from Selection Bias in Causal and Statistical Inference
Bareinboim, E., Tian, J. W., & Pearl, J. (2014) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v28i1.9074 · Cited by 93 · see citing works
Negative Control Exposures in Epidemiologic Studies
Smith, G. D. (2012) · Epidemiology · doi:10.1097/ede.0b013e318245912c · Cited by 88 · see citing works
Self-citationBlom, A. G., Herzing, J. M. E., Cornesse, C., Sakshaug, J. W., Krieger, U., & Bossert, D. (2016) · Social Science Computer Review · doi:10.1177/0894439316651584 · Cited by 88 · see citing works
Bean, D. M., Kraljević, Ž., Searle, T., et al. (2020) · medRxiv · doi:10.1101/2020.04.07.20056788 · Cited by 88 · see citing works
Patel, P., Hiam, L., Sowemimo, A., et al. (2020) · BMJ · doi:10.1136/bmj.m2282 · Cited by 73 · see citing works
Low incidence of daily active tobacco smoking in patients with symptomatic COVID-19Preprint
Miyara, M., Tubach, F., Pourcher, V., Morélot‐Panzini, C., Pernet, J., Haroche, J., Lebbah, S., Morawiec, É., Gorochov, G., Caumes, É., et al. (2020) · doi:10.32388/wpp19w.3 · Cited by 61 · see citing works
Myth, Confusion, and Science in Causal Analysis
Pearl, J. (2009) · eScholarship (California Digital Library) · Cited by 60 · see citing works
Sensitivity analysis for the effects of multiple unmeasured confounders
Groenwold, R. H. H., Sterne, J. A. C., Lawlor, D. A., Moons, K. G. M., Hoes, A. W., & Tilling, K. M. (2016) · Annals of Epidemiology · doi:10.1016/j.annepidem.2016.07.009 · Cited by 56 · see citing works
Self-citationLow incidence of daily active tobacco smoking in patients with symptomatic COVID-19 infectionPreprint
Miyara, M., Tubach, F., & Amoura, Z. (2020) · doi:10.32388/wpp19w · Cited by 55 · see citing works
Association of Health Literacy and Numeracy with Interest in Research Participation
Kripalani, S. B., Heerman, W. J., Patel, N. J., Jackson, N. A., Goggins, K. M., Rothman, R. L., Yeh, V. M., Wallston, K. A., Smoot, D. T., & Wilkins, C. H. (2019) · Journal of General Internal Medicine · doi:10.1007/s11606-018-4766-2 · Cited by 53 · see citing works
Boëlle, P., Souty, C., Launay, T., et al. (2020) · Eurosurveillance · doi:10.2807/1560-7917.es.2020.25.14.2000326 · Cited by 51 · see citing works
Prats‐Uribe, A., Paredes, R., & Prieto‐Alhambra, D. (2020) · medRxiv · doi:10.1101/2020.05.06.20092676 · Cited by 48 · see citing works
A nicotinic hypothesis for Covid-19 with preventive and therapeutic implicationsPreprint
Changeux, J., Amoura, Z., Rey, F. A., & Miyara, M. (2020) · doi:10.32388/fxgqsb · Cited by 45 · see citing works
Quantifying the extent to which index event biases influence large genetic association studies
Yaghootkar, H., Bancks, M. P., Jones, S. E., McDaid, A. F., Beaumont, R. N., Donnelly, L. A., Wood, A. R., Campbell, A. I., Tyrrell, J., Hocking, L. J., et al. (2016) · Human Molecular Genetics · doi:10.1093/hmg/ddw433 · Cited by 42 · see citing works
Covid-19: ensuring equality of access to testing for ethnic minorities
Dodds, C., & Fakoya, I. (2020) · BMJ · doi:10.1136/bmj.m2122 · Cited by 41 · see citing works
Early Spread of SARS-CoV-2 in the Icelandic Population
Cowie, B. C., & MacLachlan, J. H. (2020) · New England Journal of Medicine · doi:10.1056/nejmc2027653 · Cited by 41 · see citing works
Lynn, P. J., Nandi, A., Parutis, V., et al. (2018) · Demographic Research · doi:10.4054/demres.2018.38.21 · Cited by 36 · see citing works
Luque-Fernández, M. Á., Schomaker, M., Redondo‐Sánchez, D., Perez, M. J. S., Vaidya, A., & Schnitzer, M. E. (2018) · International Journal of Epidemiology · doi:10.1093/ije/dyy275 · Cited by 36 · see citing works
Antihypertensive drugs and risk of COVID-19?
Brown, J. D. (2020) · The Lancet Respiratory Medicine · doi:10.1016/s2213-2600(20)30158-2 · Cited by 36 · see citing works
Exploring Selection Bias by Causal Frailty Models
Stensrud, M. J., Valberg, M., Røysland, K., & Aalen, O. O. (2017) · Epidemiology · doi:10.1097/ede.0000000000000621 · Cited by 35 · see citing works
Genetic predictors of participation in optional components of UK BiobankPreprint
Tyrrell, J., Zheng, J., Beaumont, R. N., et al. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.02.10.941328 · Cited by 35 · see citing works
Northstone, K., Major‐Smith, D., Bowring, C. E., Wells, N., Crawford, M. A., Haworth, S. J., & Timpson, N. J. (2020) · Wellcome Open Research · doi:10.12688/wellcomeopenres.16225.2 · Cited by 33 · see citing works
Shrier, I. (2007) · Statistics in Medicine · doi:10.1002/sim.3172 · Cited by 31 · see citing works
Revilla, M., Cornilleau, A., Cousteaux, A.-S., Legleye, S., & de Pedraza, P. (2015) · Social Science Computer Review · doi:10.1177/0894439315590206 · Cited by 30 · see citing works
BETS: The dangers of selection bias in early analyses of the coronavirus disease (COVID-19) pandemic
Zhao, Q., Ju, N., Bacallado, S., & Shah, R. D. (2021) · The Annals of Applied Statistics · doi:10.1214/20-aoas1401 · Cited by 28 · see citing works
Interval estimation of population means under unknown but bounded probabilities of sample selection
Aronow, P. M., & Lee, D. (2012) · Biometrika · doi:10.1093/biomet/ass064 · Cited by 23 · see citing works
Sensitivity analysis for inverse probability weighting estimators via the percentile bootstrapPreprint
Zhao, Q., Small, D. S., & Bhattacharya, B. B. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1711.11286 · Cited by 17 · see citing works
Impact of oral health literacy on self‐reported missing data in epidemiological research
Firmino, R. T., Fraiz, F. C., Montes, G. R., Paiva, S. M., Granville‐Garcia, A. F., & Ferreira, F. M. (2018) · Community Dentistry And Oral Epidemiology · doi:10.1111/cdoe.12415 · Cited by 16 · see citing works
Review of: "Low incidence of daily active tobacco smoking in patients with symptomatic COVID-19"
Gilmore, A. (2020) · doi:10.32388/37f3ud · Cited by 5 · see citing works
An Interval Estimation Approach to Sample Selection BiasPreprint
Tudball, M., Zhao, Q., Hughes, R. A., Tilling, K. M., & Bowden, J. (2019) · arXiv (Cornell University) · Cited by 4 · see citing works
Self-citationDooley, H. C., Lee, K. C. L., Freidin, M. B., et al. (2020) · SSRN Electronic Journal · doi:10.2139/ssrn.3583469 · Cited by 4 · see citing works
Care home deaths: the untold and largely unrecorded tragedy of COVID-19
Henwood, M. (2020) · London School of Economics and Political Science Research Online (London School of Economics and Political Science) · Cited by 4 · see citing works
Shader, R. I. (2019) · Journal of Clinical Psychopharmacology · doi:10.1097/jcp.0000000000001057 · Cited by 3 · see citing works
Vandenbroucke, J. P., Brickley, E. B., Vandenbroucke‐Grauls, C. M. J. E., et al. (2020) · arXiv (Cornell University) · Cited by 2 · see citing works
Groenwold, R. H. H., Palmer, T., & Tilling, K. M. (2019) · Lancaster EPrints (Lancaster University) · Cited by 2 · see citing works
Self-citation
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- [19]Nguyen, T. Q., Dafoe, A. & Ogburn E. L. The magnitude and direction of collider bias for binary variables. arXiv. http://arxiv.org/abs/1609.00606 (2016) · arXiv
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Sanderson, E., Glymour, M. M., Holmes, M. V., Kang, H., Morrison, J., Munafò, M. R., Palmer, T., Schooling, C. M., Wallace, C., Zhao, Q., et al. (2022) · Nature Reviews Methods Primers · doi:10.1038/s43586-021-00092-5 · Cited by 2,229 · see citing works
Self-citationAcosta, J. N., Falcone, G. J., Rajpurkar, P., & Topol, E. J. (2022) · Nature Medicine · doi:10.1038/s41591-022-01981-2 · Cited by 1,365 · see citing works
Menni, C., Klaser, K., May, A., Polidori, L., Capdevila, J., Louca, P., Sudre, C. H., Nguyen, L. H., Drew, D. A., Merino, J., et al. (2021) · The Lancet Infectious Diseases · doi:10.1016/s1473-3099(21)00224-3 · Cited by 1,031 · see citing works
Graham, M. S., Sudre, C. H., May, A., Antonelli, M., Murray, B., Varsavsky, T., Kläser, K., Canas, L. S., Molteni, E., Modat, M., et al. (2021) · The Lancet Public Health · doi:10.1016/s2468-2667(21)00055-4 · Cited by 304 · see citing works
Richardson, T. G., Leyden, G. M., Wang, Q., Bell, J. A., Elsworth, B., Davey Smith, G., & Holmes, M. V. (2022) · PLOS Biology · doi:10.1371/journal.pbio.3001547 · Cited by 304 · see citing works
Self-citationHolmberg, M. J., & Andersen, L. W. (2022) · JAMA · doi:10.1001/jama.2022.1820 · Cited by 229 · see citing works
AI Fairness in Data Management and Analytics: A Review on Challenges, Methodologies and Applications
Chen, P., Wu, L., & Wang, L. (2023) · Applied Sciences · doi:10.3390/app131810258 · Cited by 155 · see citing works
Adams, K., Rhoads, J. P., Surie, D., Gaglani, M., Ginde, A. A., McNeal, T., Talbot, H. K., Casey, J. D., Zepeski, A., Shapiro, N. I., et al. (2022) · BMJ · doi:10.1136/bmj-2022-072065 · Cited by 115 · see citing works
Brayne, C., & Moffitt, T. E. (2022) · Nature Aging · doi:10.1038/s43587-022-00277-x · Cited by 89 · see citing works
Uncovering survivorship bias in longitudinal mental health surveys during the COVID-19 pandemic
Czeisler, M. É., Wiley, J. F., Czeisler, C. A., Rajaratnam, S. M. W., & Howard, M. E. (2021) · Epidemiology and Psychiatric Sciences · doi:10.1017/s204579602100038x · Cited by 90 · see citing works
High-throughput target trial emulation for Alzheimer’s disease drug repurposing with real-world data
Zang, C., Zhang, H., Xu, J., Zhang, H., Fouladvand, S., Havaldar, S., Cheng, F., Chen, K., Chen, Y., Glicksberg, B. S., et al. (2023) · Nature Communications · doi:10.1038/s41467-023-43929-1 · Cited by 69 · see citing works
Cross-sectional studies: strengths, limitations, and methodological considerations
Baumeister, S., Kocher, T., Papapanou, P. N., Holtfreter, B., & Demmer, R. T. (2026) · Journal of Periodontal Research · doi:10.1111/jre.70063 · Cited by 38 · see citing works
ChatGPT identifies gender disparities in scientific peer review
Verharen, J. P. (2023) · eLife · doi:10.7554/elife.90230 · Cited by 16 · see citing works
Transparency of COVID-19-Related Research in Dental Journals
Sofi-Mahmudi, A., & Raittio, E. (2022) · Frontiers in Oral Health · doi:10.3389/froh.2022.871033 · Cited by 15 · see citing works
- Authors
- Griffith, G. J., Morris, T. T., Tudball, M. J., Herbert, A., Mancano, G., Pike, L., Sharp, G. C., Sterne, J., Palmer, T. M., Davey Smith, G., Tilling, K., Zuccolo, L., Davies, N. M., & Hemani, G.
- Affiliations
- University of Bristol (GB)
- Norwegian University of Science and Technology (NO)
- Corresponding author
- Hemani, Gibran
- ORCID
- Venue
- Nature Communications
- Published
- 2020-11-12
- Volume
- 11
- Issue
- 1
- Pages
- 5749-5749
- ISSN
- 2041-1723 (ISSN-L)
- PMC
- PMC7665028
- OpenAlex
- W3093084901
- Cited by
- 826
- References
- 100
- Citations by year
- 2026: 48 · 2025: 42 · 2024: 125 · 2023: 140 · 2022: 199 · 2021: 208 · 2020: 62 · 2019: 1
- FWCI
- 106.77
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Nature Communications (publishedVersion, cc-by)
- medRxiv (acceptedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Explore Bristol Research (acceptedVersion, cc-by)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Bristol Research (University of Bristol) (submittedVersion, cc-by)
- Funders
- Wellcome Trust (208806/Z/17/Z)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Health Sciences › Medicine › Infectious Diseases › COVID-19 Clinical Research Studies
- Keywords
- collider bias, COVID-19 pandemic, disease severity, non-representative samples, selection bias, UK Biobank, sampling strategy, observational study design
- MeSH terms
- Betacoronavirus, COVID-19, SARS-CoV-2, Humans, Pneumonia, Viral, Risk Factors, Bias, Treatment Outcome, Coronavirus Infections, Pandemics, Observational Studies as Topic
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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