Evidence map›Paper›PMID 25000145›Full record

ArticleEpidemiology (Cambridge, Mass.)2014

A unification of mediation and interaction: a 4-way decomposition.

Tyler J VanderWeele

Erratum issued 2 registry-linked trialsAbstract read
In one paragraph

Article in Epidemiology (Cambridge, Mass.), 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. It is linked to 2 registered trials, which are not on this map. Cited by 363 papers, 1 of them a synthesis that pooled it.

0numbers the graph read from it
0cells of the map it votes in
363citing papers in PubMed, 1 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

NCT04752293 recruitingnot on this mapstarted 2021, after this paper: background citation

Pediatric Hypertension and the Renin-Angiotensin SystEm (PHRASE): The Role of Angiotensin-(1-7) in Hypertension and Hypertension-Induced Heart and Kidney Damage

TypeobservationalSponsorWake Forest University Health SciencesRan2021 to 2026Enrolled125ConditionsHypertension, Left Ventricular Hypertrophy, Left Ventricular Dysfunction, Left Atrial Dilatation
NCT07002294 narecruitingnot on this mapstarted 2026, after this paper: background citation

The Effect of SPecialty cAre on Recovery From Cardiac Arrest Trial (the SPARC Trial)

TypeinterventionalSponsorUniversity of PittsburghRan2026 to 2032Enrolled1,618ConditionsCardiac Arrest (CA), Heart Arrest, Heart Arrest, Out-Of-HospitalArmsTransfer to specialty care, Usual care
3 · Its place in the literature

Who cites it

363 citing papers in PubMed, 1 synthesis or guideline pooled it.

  1. Pollution, stress response, and obesity: A systematic review.Obesity reviews : an official journal of the International Association for the Study of Obesity · 2025
    Pooled it
  2. Trial
  3. Trial
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  8. Article
  9. Potential Outcomes Effects in Mediation Designs with Three Experimental Conditions.Prevention science : the official journal of the Society for Prevention Research · 2026
    Article
  10. Article
  11. Article
  12. Article
  13. Article
  14. Article
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  16. Seasonality, Hospitalization, and Initiation of Home Dialysis: A Retrospective Cohort Study.American journal of kidney diseases : the official journal of the National Kidney Foundation · 2026
    Article
  17. Article
  18. Article
  19. Observational
  20. Article

303 more citing papers are in PubMed but not listed here.

4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

1 author.

Tyler J VanderWeeleFrom the Departments of Epidemiology and Biostatistics, Harvard School of Public Health, Boston, MA.

Funding

Statistical Methods for Analysis of Massive Genetic and Genomic Data in Cancer ResearchR35CA197449 · NCI · HARVARD UNIVERSITY D/B/A HARVARD SCHOOL OF PUBLIC HEALTH · PI XIHONG LIN · 2015 to 2026
$10.9M
Statistical Methods for the Spatio-Temporal Assessment of Social Disparities in CancerP01CA134294 · NCI · HARVARD SCHOOL OF PUBLIC HEALTH · PI HANEUSE, SEBASTIEN, HERNAN, MIGUEL · 2008 to 2017
$6.8M
Identification and Inference for Longitudinal Causal Mediation Analysis in HIVR01AI104459 · NIAID · HARVARD SCHOOL OF PUBLIC HEALTH · PI SHPITSER, ILYA, VANDERWEELE, TYLER · 2013 to 2017
$2.0M
Theory and methods for sufficient cause interactionsR01ES017876 · NIEHS · HARVARD SCHOOL OF PUBLIC HEALTH · PI VANDERWEELE, TYLER · 2010 to 2014
$1.2M
Theory and methods for interactionR56ES017876 · NIEHS · HARVARD SCHOOL OF PUBLIC HEALTH · PI TCHETGEN TCHETGEN, ERIC JOEL, VANDERWEELE, TYLER · 2016 to 2016
$150k
NCI NIH HHS P01 CA134294NCI NIH HHS R35 CA197449NIAID NIH HHS R01 AI104459NIEHS NIH HHS ES017876NIEHS NIH HHS R01 ES017876NIEHS NIH HHS R56 ES017876
6 · The paper itself

Abstract

The overall effect of an exposure on an outcome, in the presence of a mediator with which the exposure may interact, can be decomposed into 4 components: (1) the effect of the exposure in the absence of the mediator, (2) the interactive effect when the mediator is left to what it would be in the absence of exposure, (3) a mediated interaction, and (4) a pure mediated effect. These 4 components, respectively, correspond to the portion of the effect that is due to neither mediation nor interaction, to just interaction (but not mediation), to both mediation and interaction, and to just mediation (but not interaction). This 4-way decomposition unites methods that attribute effects to interactions and methods that assess mediation. Certain combinations of these 4 components correspond to measures for mediation, whereas other combinations correspond to measures of interaction previously proposed in the literature. Prior decompositions in the literature are in essence special cases of this 4-way decomposition. The 4-way decomposition can be carried out using standard statistical models, and software is provided to estimate each of the 4 components. The 4-way decomposition provides maximum insight into how much of an effect is mediated, how much is due to interaction, how much is due to both mediation and interaction together, and how much is due to neither.

Indexed as

CausalityData Interpretation, StatisticalEffect Modifier, EpidemiologicEpidemiologic Research DesignModels, StatisticalSoftwareGenetic Predisposition to DiseaseHumansLung NeoplasmsSmoking

Identifiers

PMID25000145
PMCPMC4220271

What OpenQuestion holds

Textmetadata
LicenceTDM
Read underepoch 390

Registered trials

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.