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Robust causal inference using directed acyclic graphs: the R package ‘dagitty’
Open accessAbstract
Directed acyclic graphs (DAGs), which offer systematic representations of causal relationships, have become an established framework for the analysis of causal inference in epidemiology, often being used to determine covariate adjustment sets for minimizing confounding bias. DAGitty is a popular web application for drawing and analysing DAGs. Here we introduce the R package 'dagitty', which provides access to all of the capabilities of the DAGitty web application within the R platform for statistical computing, and also offers several new functions. We describe how the R package 'dagitty' can be used to: evaluate whether a DAG is consistent with the dataset it is intended to represent; enumerate 'statistically equivalent' but causally different DAGs; and identify exposure-outcome adjustment sets that are valid for causally different but statistically equivalent DAGs. This functionality enables epidemiologists to detect causal misspecifications in DAGs and make robust inferences that remain valid for a range of different DAGs. The R package 'dagitty' is available through the comprehensive R archive network (CRAN) at [https://cran.r-project.org/web/packages/dagitty/]. The source code is available on github at [https://github.com/jtextor/dagitty]. The web application 'DAGitty' is free software, licensed under the GNU general public licence (GPL) version 2 and is available at [http://dagitty.net/].
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“We then constructed a directed acyclic graph (DAG) to clearly define our a priori assumptions regarding covariate relationships with the exposure and outcome variables (Figure 1).29,30”
From Receipt of Glucagon-Like Peptide-1 Receptor Agonists Among Rural Patients with Obstructive Sleep Apnea and Excess Weight (2026) · cites this paper as [30]
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“Linear regression models were informed by directed acyclic graphs (DAGs), and minimal adjustment sets required for regression modeling were identified using the web-based “DAGitty” platform (13).”
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“5Tools like DAGitty can be used for the analysis of causal graphs [76].”
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“State-of-the-art methods, including the use of DAGs (Directed Acyclic Graphs), may be needed to help assess whether the associations seen are likely to represent causal relationship 137 .”
MethodDrivers of fatal bird collisions in an urban center
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“Indeed, much of the theoretical and practical progress in causal discovery that has been made since Hill’s day consists of clarifying when such “identifiability” of causal graph models and effects is possible and what other variables must be observed to identify specified causal effects from observational data – in ot…”
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“40 Hypothesised relationships between variables shown in DAGs were informed by previously observed associations wherever possible.”
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Causal Inference With Observational Data and Unobserved Confounding Variables
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“With a DAG, confounding variables can either be visually obvious or identified via software analysing conditional independence among variables (e.g., Textor et al. 2016).”
Ding, D., Buskirk, J. V., Nguyen, B., Stamatakis, E., Elbarbary, M., Veronese, N., Clare, P. J., Lee, I.-M. M., Ekelund, U., & Fontana, L. (2022) · British Journal of Sports Medicine · doi:10.1136/bjsports-2021-105195 · Cited by 86
Testing graphical causal models using the R package “dagitty”
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“The R package ‘dagitty’, therefore, complements dagitty.net with methods to facilitate such testing (Textor, Zander, Gilthorpe, Li´skiewicz, & Ellison, 2016).”
MethodSelf-citationTemperament and brain networks of attention
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Maternal and paternal preconception exposure to phenols and preterm birth
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“2) (Textor et al., 2016) and examined unadjusted and covariate-adjusted results.”
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“Figure 1).(59,60) All explanatory variables were kept in the fully adjusted model, independent of p-values.”
MethodLong-term exposure to air pollution and stroke incidence: A Danish Nurse cohort study
Amini, H., Dehlendorff, C., Lim, Y., Mehta, A. J., Jørgensen, J. T., Mortensen, L. H., Westendorp, R. G. J., Hoffmann, B. H., Loft, S. H., Cole‐Hunter, T., et al. (2020) · Environment International · doi:10.1016/j.envint.2020.105891 · Cited by 84
“We used Directed Acyclic Graph (DAG) to identify the minimum set of covariates including potential confounders (Textor et al., 2016).”
MethodAbete, I., Konieczna, J., Zulet, M. Á., Galmes-Panades, A. M., Ibero‐Baraibar, I., Babió, N., Estruch, R., Vidal, J., Toledo, E., Razquín, C., et al. (2019) · Journal of Cachexia Sarcopenia and Muscle · doi:10.1002/jcsm.12442 · Cited by 81
Arnold, K. F., Davies, V., de Kamps, M., Tennant, P. W. G., Mbotwa, J., & Gilthorpe, M. S. (2020) · International Journal of Epidemiology · doi:10.1093/ije/dyaa049 · Cited by 81
“24 Sensitivity analyses may also be employed to estimate the magnitude of biases arising from unmeasured confounding, residual confounding or collider bias.”
BackgroundSelf-citationThe Incidence of Diabetes Among 2,808,106 Veterans With and Without Recent SARS-CoV-2 Infection
Wander, P. L., Lowy, E., Beste, L. A., Tulloch-Palomino, L. G., Korpak, A. M., Peterson, A. C., Kahn, S. E., & Boyko, E. J. (2022) · Diabetes Care · doi:10.2337/dc21-1686 · Cited by 82
“Statistical Analyses We used DAGitty (12) for generation of a directed acyclic graph (DAG) to assist in model selection for confounder adjustment.”
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“33 34 For each suggested step, we describe building a DAG with examples.”
Epidural analgesia during labour and severe maternal morbidity: population based study
Kearns, R. J., Kyzayeva, A., Halliday, L., Lawlor, D. A., Shaw, M., & Nelson, S. M. (2024) · BMJ · doi:10.1136/bmj-2023-077190 · Cited by 76
“29 We included these confounders (irrespective of whether they were available in our data) in directed acyclic graphs drawn using the R package “DAGGitty,” 30 to highlight sources of unmeasured confounding and how these might be captured by other measured confounders on the same confounding path (see supplementary eFi…”
MethodDisentangling Sex Differences in Use of Reperfusion Therapy in Patients With Acute Ischemic Stroke
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A causal roadmap for generating high-quality real-world evidence
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“Software programs can also facilitate this process [71,72].”
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Blomberg, A. J., Shih, Y.-H., Messerlian, C., Jørgensen, L. H., Weihe, P., & Grandjean, P. (2021) · Environmental Research · doi:10.1016/j.envres.2021.111400 · Cited by 73
Identifying Vulnerable Periods of Neurotoxicity to Triclosan Exposure in Children
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“In regression models, we adjusted for variables that may be associated with both triclosan exposure and child cognitive abilities based on the results of previous studies and a directed acyclic graph (see Figure S1; Textor et al. 2016) (Bellinger 2004; Stacy et al.”
MethodBarrera, F. J., Shekhar, S., Wurth, R., Moreno-Peña, P. J., Ponce, O. J., Hajdenberg, M., Álvarez‐Villalobos, N. A., Hall, J. E., Schiffrin, E. L., Eisenhofer, G., et al. (2020) · Journal of the Endocrine Society · doi:10.1210/jendso/bvaa102 · Cited by 71
“To identify confounders, we designed a directed acyclic graph (DAG) in R [27, 37-41].”
MethodPrevalence and Factors Associated with Falls among Older Outpatients
Ha, V.-A. T., Nguyen, T. N., Nguyen, T. X., Nguyen, H. T. T., Nguyen, T. T. H., Nguyen, A. T., Pham, T., & Vu, H. T. T. (2021) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph18084041 · Cited by 70
“DAGs were used to construct the conceptual diagram representing causal relationships of all variables in the network [27,28].”
MethodLocal fit evaluation of structural equation models using graphical criteria.
Thoemmes, F. J., Rosseel, Y., & Textor, J. C. (2017) · Psychological Methods · doi:10.1037/met0000147 · Cited by 82
“This code includes the data-generating models, all standard output of the SEM software lavaan (Rosseel, 2012), and the local tests provided by the R package dagitty (Textor et al., 2016).”
MethodSelf-citationBasagaña, X., Michael, Y., Lensky, I. M., Rubin, L., Grotto, I., Vadislavsky, E., Levi, Y., Amitai, E., & Agay‐Shay, K. (2021) · Environmental Health Perspectives · doi:10.1289/ehp8117 · Cited by 69
“Covariates included in adjusted models were selected based on prior knowledge and directed acyclic graphs (DAGs) (Greenland et al. 1999; Textor et al. 2016) (Figure S4).”
Wang, L.-B., Gong, Y.-C., Fang, Q.-L., Cui, X.-X., Dharmage, S. C., Jalaludin, B. B., Knibbs, L. D., Bloom, M. S., Guo, Y., Lin, L., et al. (2022) · JAMA Network Open · doi:10.1001/jamanetworkopen.2022.13247 · Cited by 69
Chimpanzee pant‐hoots encode individual information more reliably than group differences
Desai, N. P., Fedurek, P., Slocombe, K. E., & Wilson, M. L. (2022) · American Journal of Primatology · doi:10.1002/ajp.23430 · Cited by 66
“The adjustmentSets function in the R ‐ package dagitty prints a list of all minimally sufficient adjustment sets (Textor et al., 2016).”
BackgroundWang, L., Liu, Q., Heizhati, M., Yao, X., Luo, Q., & Li, N. (2020) · Journal of the American Medical Directors Association · doi:10.1016/j.jamda.2020.05.023 · Cited by 70
Esperatti, M., Busico, M., Fuentes, N. A., Gallardo, A., Osatnik, J., Vitali, A., Wasinger, E. G., Olmos, M., Quintana, J., Saavedra, S. N., et al. (2022) · Critical Care · doi:10.1186/s13054-021-03881-2 · Cited by 65
“Based on subject matter knowledge and previous literature, we used a direct acyclic graph (DAG) to identify and select variables potentially associated with both awake prone positioning and study outcomes [21, 22] (Additional File 1: Fig.”
MethodRace, the Vaginal Microbiome, and Spontaneous Preterm Birth
Sun, S., Serrano, M. G., Fettweis, J. M., Basta, P. V., Rosen, E. M., Ludwig, K., Sorgen, A. A., Blakley, I., Wu, M. C., Dole, N., et al. (2022) · mSystems · doi:10.1128/msystems.00017-22 · Cited by 67
“For the purpose of multivariable adjusted analyses, we identified a minimally sufficient subset of adjustment variables based on a directed acyclic graph (DAG) (48) using daggity (49).”
MethodDerakhshan, A., Philips, E. M., Ghassabian, A., Santos, S., Asimakopoulos, A. G., Kannan, K., Kortenkamp, A., Jaddoe, V. W. V., Trasande, L., Peeters, R. P., et al. (2020) · Environment International · doi:10.1016/j.envint.2020.106160 · Cited by 63
Hartley, K., Perazzo, J. D., Brokamp, C., Gillespie, G. L., Cecil, K. M., LeMasters, G. K., Yolton, K. A., & Ryan, P. (2020) · Environmental Research · doi:10.1016/j.envres.2020.110628 · Cited by 66
Hastert, T. A., Kyko, J. M., Reed, A. R., Harper, F. W. K., Beebe‐Dimmer, J., Baird, T. E., & Schwartz, A. G. (2019) · Cancer Epidemiology Biomarkers & Prevention · doi:10.1158/1055-9965.epi-18-1336 · Cited by 63
“Additional covariates were selected using a directed acyclic graph (DAG) including relationships between financial hardship, limiting care, HRQOL, and each of the factors listed in Table 1 (31).”
MethodDelavar, A., Barnes, J. M., Wang, X., & Johnson, K. J. (2020) · Archives of Pediatrics and Adolescent Medicine · doi:10.1001/jamapediatrics.2019.6074 · Cited by 63
Signes‐Pastor, A. J., Vioqué, J., Navarrete‐Muñoz, E. M., Carey, M. P., García‐Villarino, M., Fernández‐Somoano, A., Tardón, A., Santa‐Marina, L., Irizar, A., Casas, M., et al. (2019) · Environmental Research · doi:10.1016/j.envres.2019.04.028 · Cited by 62
Community-level signatures of ecological succession in natural bacterial communities
Pascual‐García, A., & Bell, T. (2020) · Nature Communications · doi:10.1038/s41467-020-16011-3 · Cited by 62
Neighbourhood fast food exposure and consumption: the mediating role of neighbourhood social norms
van Rongen, S., Poelman, M. P., Thornton, L. E., Abbott, G., Lü, M., Kamphuis, C. B. M., Verkooijen, K. T., & de Vet, E. (2020) · International Journal of Behavioral Nutrition and Physical Activity · doi:10.1186/s12966-020-00969-w · Cited by 65
Sugiyama, M., Tsuchiya, K. J., Okubo, Y., Rahman, M. S., Uchiyama, S., Harada, T., Iwabuchi, T., Okumura, A., Nakayasu, C., Amma, Y., et al. (2023) · Archives of Pediatrics and Adolescent Medicine · doi:10.1001/jamapediatrics.2022.5356 · Cited by 79
van den Dries, M. A., Guxens, M., Pronk, A., Spaan, S., Marroun, H. E., Jusko, T. A., Longnecker, M. P., Ferguson, K. K., & Tiemeier, H. W. (2019) · Environment International · doi:10.1016/j.envint.2019.105002 · Cited by 65
Phthalate and Bisphenol Exposure during Pregnancy and Offspring Nonverbal IQ
van den Dries, M. A., Guxens, M., Spaan, S., Ferguson, K. K., Philips, E. M., Santos, S., Jaddoe, V. W. V., Ghassabian, A., Trasande, L., Tiemeier, H. W., et al. (2020) · Environmental Health Perspectives · doi:10.1289/ehp6047 · Cited by 61
“These potential confounders were selected a priori de fi ned with a directed acyclic graph (DAG) (Textor et al. 2016) based on previous studies of prenatal phthalate and bisphenol exposure and child neurodevelopment and on biologically plausible covariate – exposure and covariate – outcome associations observed in our…”
Dicken, S. J., Dahm, C. C., Ibsen, D. B., Olsen, A., Tjønneland, A. M., Hajji-Louati, M., Cadeau, C., Marques, C., Schulze, M. B., Jannasch, F., et al. (2024) · The Lancet Regional Health - Europe · doi:10.1016/j.lanepe.2024.101043 · Cited by 66
“Total effects (TE) (the sum of the PNDE and TNIE) were then decomposed into the direct and indirect effect to estimate the proportion mediated (PM) (the ratio of TNIE to TE).”
Wernroth, M.-L., Fall, K., Svennblad, B., Ludvigsson, J. F., Sjölander, A., Almqvist, C., & Fall, T. (2020) · Diabetes Care · doi:10.2337/dc19-1162 · Cited by 57
“model for estimating the total effect of antibiotics on type 1 diabetes (22).”
BackgroundCausal Diagram Techniques for Urologic Oncology Research
Shapiro, D. D., & Msaouel, P. (2020) · Clinical Genitourinary Cancer · doi:10.1016/j.clgc.2020.08.003 · Cited by 59
Kennedy, O. J., Fallowfield, J. A., Poole, R., Hayes, P. C., Parkes, J., & Roderick, P. J. (2021) · BMC Public Health · doi:10.1186/s12889-021-10991-7 · Cited by 58
Qu, Y., Lin, S., Zhuang, J., Bloom, M. S., Smith, M., Nie, Z., Mai, J., Ou, Y., Wu, Y., Gao, X., et al. (2020) · Journal of the American Heart Association · doi:10.1161/jaha.119.015652 · Cited by 58
Langmann, F., Ibsen, D. B., Tjønneland, A. M., Olsen, A., Overvad, K., & Dahm, C. C. (2023) · European Journal of Nutrition · doi:10.1007/s00394-023-03090-3 · Cited by 59
“Covariates were selected a priori based on a review of the literature and directed acyclic graphs [30, 31] (Online Resource Supplementary Fig.”
MethodPollmann, C. T., Dahl, F. A., Røtterud, J. H., Gjertsen, J., & Årøen, A. (2020) · Acta Orthopaedica · doi:10.1080/17453674.2020.1717841 · Cited by 58
“In all multivariable models, the variables to be adjusted for were chosen from directed acyclic graphs (DAG), which were constructed using DAGitty (Textor et al. 2017).”
MethodRinglander, J., Fingal, J., Kann, H., Prakash, K., Rydell, G. E., Andersson, M., Martner, A., Lindh, M., Horal, P., Hellstrand, K., et al. (2022) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2112663119 · Cited by 57
Tomova, G. D., Gilthorpe, M. S., & Tennant, P. W. G. (2022) · American Journal of Clinical Nutrition · doi:10.1093/ajcn/nqac188 · Cited by 57
“3-1 (22) based on a prespecified data generation process depicted in Figure 1.”
BackgroundSelf-citationKucera, K. L., Schoenfisch, A. L., McIlvaine, J., Becherer, L., James, T. M., Yeung, Y.-L., Avent, S., & Lipscomb, H. J. (2018) · International Journal of Nursing Studies · doi:10.1016/j.ijnurstu.2018.11.006 · Cited by 56
Jacobs, T., Geysemans, B., Van Hal, G., Glazemakers, I., Fog-Poulsen, K., Vermandel, A., De Wachter, S., & De Win, G. (2021) · JMIR Public Health and Surveillance · doi:10.2196/32542 · Cited by 55
“0 web application and included in a multivariable regression analysis [45].”
Impact of CD19 CAR T-cell product type on outcomes in relapsed or refractory aggressive B-NHL
Gauthier, J., Gazeau, N., Hirayama, A. V. V., Hill, J. A., Wu, V., Cearley, A., Perkins, P., Kirk, A., Shadman, M. S., Chow, V. A., et al. (2022) · Blood · doi:10.1182/blood.2021014497 · Cited by 57
Yuan, B., Zhang, J., Lyu, A., Wu, J., Wang, Z., Yang, M., Liu, K., Mou, M., & Cui, P. (2024) · Entropy · doi:10.3390/e26020108 · Cited by 70
The Role of Causality in Explainable Artificial Intelligence
Carloni, G., Berti, A., & Colantonio, S. (2025) · Wiley Interdisciplinary Reviews Data Mining and Knowledge Discovery · doi:10.1002/widm.70015 · Cited by 99
Kim, J. S., Azarbarzin, A., Wang, R., Djonlagic, I. E., Punjabi, N. M., Zee, P. C., Koo, B. B., Soliman, E. Z., Younes, M. K., & Redline, S. S. (2019) · Thorax · doi:10.1136/thoraxjnl-2019-213533 · Cited by 55
van den Dries, M. A., Lamballais, S., Marroun, H. E., Pronk, A., Spaan, S., Ferguson, K. K., Longnecker, M. P., Tiemeier, H. W., & Guxens, M. (2020) · Environmental Research · doi:10.1016/j.envres.2020.110047 · Cited by 57
Derakhshan, A., Kortenkamp, A., Shu, H., Broeren, M. A. C., Lindh, C. H., Peeters, R. P., Bornehag, C., DEMENEIX, B. A., & Korevaar, T. I. M. (2022) · Environment International · doi:10.1016/j.envint.2022.107420 · Cited by 53
Prenatal Ambient Ultrafine Particle Exposure and Childhood Asthma in the Northeastern United States
Wright, R. J., Hsu, H.-H. L., Chiu, Y.-H. M., Coull, B. A., Simon, M. C., Hudda, N., Schwartz, J., Kloog, I., & Durant, J. L. (2021) · American Journal of Respiratory and Critical Care Medicine · doi:10.1164/rccm.202010-3743oc · Cited by 53
Adhikari, B., Delgado‐Ron, J. A., van den Bosch, M. A., Dummer, T., Hong, A., Sandhu, J., Demlow, E., Hu, Y., & Frank, L. D. (2021) · International Journal of Hygiene and Environmental Health · doi:10.1016/j.ijheh.2021.113820 · Cited by 51
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Global Plasma Metabolomics to Identify Potential Biomarkers of Blood Pressure Progression
Lin, Y., Salihović, S., Fall, T., Hammar, U., Ingelsson, E., Ärnlöv, J., Lind, L., & Sundström, J. (2020) · Arteriosclerosis Thrombosis and Vascular Biology · doi:10.1161/atvbaha.120.314356 · Cited by 51
“Mass gathering events and COVID-19 transmission in Borriana (Spain): A retrospective cohort study”
Domènech-Montoliu, S., Pac-Sa, M. R., Vidal-Utrillas, P., Latorre-Poveda, M., Rio-González, A. D., Ferrando-Rubert, S., Ferrer-Abad, G., Sanchéz-Urbano, M., Aparisi-Esteve, L., Badenes-Marques, G., et al. (2021) · PLoS ONE · doi:10.1371/journal.pone.0256747 · Cited by 51
“0) [44], together with inverse probability weighted regression [45] to obtain adjusted AR (aAR) and RR (aRR).”
Metadata
- Authors
- Textor, J., van der Zander, B., Gilthorpe, M. S., Liśkiewicz, M., & Ellison, G. T. H.
- Affiliations
- Radboud University Medical Center (NL)
- University of Leeds (GB)
- University of Lübeck (DE)
- Corresponding author
- Textor, Johannes
- Venue
- International Journal of Epidemiology
- Publisher
- Oxford University Press (OUP)
- Published
- 2017-01-15
- Volume
- 45
- Issue
- 6
- Pages
- dyw341
- ISSN
- 0300-5771 (ISSN-L)
- 1464-3685
- OpenAlex
- W2576536258
- Cited by
- 2,295
- References
- 19
- Citations by year
- 2026: 156 · 2025: 409 · 2024: 451 · 2023: 392 · 2022: 323 · 2021: 256 · 2020: 201 · 2019: 74 · 2018: 22 · 2017: 6
- FWCI
- 35.46
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- International Journal of Epidemiology (publishedVersion)
- PubMed (publishedVersion)
- White Rose Research Online (University of Leeds, The University of Sheffield, University of York) (acceptedVersion)
- Radboud Repository (Radboud University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- directed acyclic graphs, causal inference, R package, adjustment sets, confounding
- MeSH terms
- Data Interpretation, Statistical, Epidemiologic Methods, Humans, Software, Bias, Causality, Confounding Factors, Epidemiologic
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