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      Use of directed acyclic graphs (DAGs) to identify confounders in applied health research: review and recommendations

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          Abstract

          Background

          Directed acyclic graphs (DAGs) are an increasingly popular approach for identifying confounding variables that require conditioning when estimating causal effects. This review examined the use of DAGs in applied health research to inform recommendations for improving their transparency and utility in future research.

          Methods

          Original health research articles published during 1999–2017 mentioning ‘directed acyclic graphs’ (or similar) or citing DAGitty were identified from Scopus, Web of Science, Medline and Embase. Data were extracted on the reporting of: estimands, DAGs and adjustment sets, alongside the characteristics of each article’s largest DAG.

          Results

          A total of 234 articles were identified that reported using DAGs. A fifth ( n = 48, 21%) reported their target estimand(s) and half ( n = 115, 48%) reported the adjustment set(s) implied by their DAG(s). Two-thirds of the articles ( n = 144, 62%) made at least one DAG available. DAGs varied in size but averaged 12 nodes [interquartile range (IQR): 9–16, range: 3–28] and 29 arcs (IQR: 19–42, range: 3–99). The median saturation (i.e. percentage of total possible arcs) was 46% (IQR: 31–67, range: 12–100). 37% ( n = 53) of the DAGs included unobserved variables, 17% ( n = 25) included ‘super-nodes’ (i.e. nodes containing more than one variable) and 34% ( n = 49) were visually arranged so that the constituent arcs flowed in the same direction (e.g. top-to-bottom).

          Conclusion

          There is substantial variation in the use and reporting of DAGs in applied health research. Although this partly reflects their flexibility, it also highlights some potential areas for improvement. This review hence offers several recommendations to improve the reporting and use of DAGs in future research.

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          Most cited references37

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          Robust causal inference using directed acyclic graphs: the R package ‘dagitty’

          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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            Principles of confounder selection

            Selecting an appropriate set of confounders for which to control is critical for reliable causal inference. Recent theoretical and methodological developments have helped clarify a number of principles of confounder selection. When complete knowledge of a causal diagram relating all covariates to each other is available, graphical rules can be used to make decisions about covariate control. Unfortunately, such complete knowledge is often unavailable. This paper puts forward a practical approach to confounder selection decisions when the somewhat less stringent assumption is made that knowledge is available for each covariate whether it is a cause of the exposure, and whether it is a cause of the outcome. Based on recent theoretically justified developments in the causal inference literature, the following proposal is made for covariate control decisions: control for each covariate that is a cause of the exposure, or of the outcome, or of both; exclude from this set any variable known to be an instrumental variable; and include as a covariate any proxy for an unmeasured variable that is a common cause of both the exposure and the outcome. Various principles of confounder selection are then further related to statistical covariate selection methods.
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              Causal Diagrams for Epidemiologic Research

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                Author and article information

                Journal
                Int J Epidemiol
                Int J Epidemiol
                ije
                International Journal of Epidemiology
                Oxford University Press
                0300-5771
                1464-3685
                April 2021
                17 December 2020
                17 December 2020
                : 50
                : 2
                : 620-632
                Affiliations
                [1 ] Leeds Institute for Data Analytics, University of Leeds , Leeds, UK
                [2 ] Faculty of Medicine and Health, University of Leeds , Leeds, UK
                [3 ] Alan Turing Institute, British Library , London, UK
                [4 ] Department of Epidemiology, School of Public Health, Boston University , Boston, MA, USA
                [5 ] School of Geography, University of Leeds , Leeds, UK
                [6 ] School of GeoSciences, University of Edinburgh , Edinburgh, UK
                [7 ] Department of Global Health, Boston University , Boston, MA, USA
                [8 ] Department of Tumour Immunology, Radboud University Medical Center , Nijmegen, The Netherlands
                [9 ] Centre for Data Innovation, Faculty of Science and Technology, University of Central Lancashire , Preston, UK
                Author notes

                Joint senior authors.

                Corresponding author. Peter WG Tennant, Leeds Institute for Data Analytics, University of Leeds, Level 11 Worsley Building, Clarendon Way, Leeds LS2 9NL, UK. E-mail: p.w.g.tennant@ 123456leeds.ac.uk
                Author information
                https://orcid.org/0000-0003-1555-069X
                https://orcid.org/0000-0002-0911-5029
                https://orcid.org/0000-0003-1180-8112
                https://orcid.org/0000-0002-0459-9458
                Article
                dyaa213
                10.1093/ije/dyaa213
                8128477
                33330936
                8350824b-3ba6-44dd-9a58-5ef1b69ecaf6
                © The Author(s) 2020. Published by Oxford University Press on behalf of the International Epidemiological Association.

                This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

                History
                : 14 September 2020
                : 12 October 2020
                Page count
                Pages: 13
                Funding
                Funded by: Economic and Social Research Council, DOI 10.13039/501100000269;
                Award ID: ES/J500215/1
                Award ID: ES/P000746/1
                Funded by: Medical Research Council, DOI 10.13039/501100000265;
                Award ID: MR/K501402/1
                Funded by: The Alan Turing Institute;
                Award ID: EP/N510129/1
                Funded by: The Alan Turing Institute;
                Award ID: EP/N510129/1
                Categories
                Methods
                AcademicSubjects/MED00860
                AcademicSubjects/MED00860

                Public health
                directed acyclic graphs,graphical model theory,causal diagrams,causal inference,observational studies,confounding,covariate adjustment,reporting practices

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