Cited by 305Advanced Causal Inference TechniquesStatistical Methods in EpidemiologyGlobal Cancer Incidence and Screening

A graphical approach to the identification and estimation of causal parameters in mortality studies with sustained exposure periods

Robins, James·1987·Journal of Chronic Diseases

Abstract

In observational cohort mortality studies with prolonged periods of exposure to the agent under study, independent risk factors for death commonly determine subsequent exposure to the study agent. For example, in occupational mortality studies, date of termination of employment is both a determinant of subsequent exposure to the chemical agent under study (since terminated individuals receive no further exposure) and an independent risk factor for death (since disabled individuals tend to leave employment). When a risk factor determines subsequent exposure and is determined by previous exposure, standard analyses that estimate age-specific mortality rates as a function of cumulative exposure can underestimate the true effect of exposure on mortality, whether or not one adjusts for the risk factor in the analysis. This observation raises the question, "Which, if any, empirical population parameter can be causally interpreted as the true effect of exposure in observational mortality studies?" In answer, we offer a graphical approach to the identification and estimation of causal parameters in mortality studies with sustained exposure periods. We reanalyze the mortality experience of a cohort of arsenic-exposed copper smelter workers using our approach and compare our results with those obtained using standard methods. We find an adverse effect of arsenic exposure on all cause and lung cancer mortality, which standard methods failed to detect. The analytic approach introduced in this paper may be necessary to control bias in any epidemiologic study in which there exists a risk factor which both determines subsequent exposure and is determined by previous exposure to the agent under study.

Integrity signals

Registry

Crossref · 10.1016/s0021-9681(87)80018-8

Cites

9 of 9 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The expression for the sequential-intervention causal effect coincides with Robins' (1987) G-computation formula, which was derived from a more complicated set of counterfactual assumptions.

    “This expression coincides with Robins' (1987) G -computation formula, which was derived from a more complicated set of (counterfactual) assumptions.”

    From Causal inference in statistics: An overview (2009) · cites this paper as Robins, 1987

  • The expression for the causal effect of a treatment sequence do(X=x), do(Z2=z2) coincides with Robins' (1987) G-computation formula.

    “This expression coincides with Robins' (1987) G-computation formula, which was derived from a more complicated set of (counterfactual) assumptions.”

    From An Introduction to Causal Inference (2010) · cites this paper as Robins' (1987)

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Authors
Robins, J.
Affiliations
Harvard University (US)
Corresponding author
Robins, James
Venue
Journal of Chronic Diseases
Publisher
Elsevier BV
Published
1987-01
Volume
40
Pages
139S-161S
ISSN
0021-9681 (ISSN-L)
OpenAlex
W2035142205
Cited by
305
References
9
Citations by year
2026: 5 · 2025: 6 · 2024: 6 · 2023: 7 · 2022: 9 · 2021: 11 · 2020: 12 · 2019: 12 · 2018: 11 · 2017: 10 · 2016: 10 · 2015: 12 · 2014: 20 · 2013: 6 · 2012: 11
FWCI
3.73
Type
journal article
Language
en
Open access
closed
Locations
  • Journal of Chronic Diseases (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • National Institutes of Health (5r23es003405-03)
  • National Institute of Environmental Health Sciences (5-P30-ES00002, 5-R23-ES03405, P30ES000002)
  • National Institute for Occupational Safety and Health (5 R03 OH01867)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
  • Health Sciences › Medicine › Oncology › Global Cancer Incidence and Screening
Keywords
causal inference, directed acyclic graphs, mortality, cumulative exposure, confounding by indication, occupational exposure, arsenic, copper smelter workers, lung cancer mortality, all-cause mortality, bias control
MeSH terms
Epidemiologic Methods, Humans, Occupational Diseases, Probability, Risk Factors, Statistics as Topic, Time Factors

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.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review