Evidence map›Paper›PMID 23354283›Full record

ArticleEpidemiology (Cambridge, Mass.)2013

A three-way decomposition of a total effect into direct, indirect, and interactive effects.

Tyler J VanderWeele

Registry-linked trialAbstract read
In one paragraph

Article in Epidemiology (Cambridge, Mass.), 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. It is linked to trial NCT04928209 (Teletherapy to Address Language Disparities in Deaf and Hard-of-hearing Children), which is not on this map. Cited by 94 papers, 1 of them a synthesis that pooled it.

0numbers the graph read from it
0cells of the map it votes in
94citing 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.

NCT04928209 nacompletednot on this mapstarted 2021, after this paper: background citation

Teletherapy to Address Language Disparities in Deaf and Hard-of-hearing Children

TypeinterventionalSponsorUniversity of California, San FranciscoRan2021 to 2025Enrolled210ConditionsHearing Loss, Speech and Language Development Delay Due to Hearing LossArmsSpeech-Language Teletherapy
3 · Its place in the literature

Who cites it

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

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  12. Three-Way Decomposition for Applied Health Equity Research: A Practical Tutorial to Understand and Address Inequalities.Prevention science : the official journal of the Society for Prevention Research · 2025
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34 more citing papers are in PubMed but not listed here.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

1 author.

Tyler J VanderWeeleDepartments of Epidemiology and Biostatistics, Harvard School of Public Health, Boston, MA 02115, USA. tvanderw@hsph.harvard.edu

Funding

Theory and methods for sufficient cause interactionsR01ES017876 · NIEHS · HARVARD SCHOOL OF PUBLIC HEALTH · PI VANDERWEELE, TYLER · 2010 to 2014
$1.2M
Bounds for direct and indirect effects with application to perinatal epidemiologyR03HD060696 · NICHD · HARVARD SCHOOL OF PUBLIC HEALTH · PI VANDERWEELE, TYLER · 2010 to 2011
$169k
Theory and methods for interactionR56ES017876 · NIEHS · HARVARD SCHOOL OF PUBLIC HEALTH · PI TCHETGEN TCHETGEN, ERIC JOEL, VANDERWEELE, TYLER · 2016 to 2016
$150k
NICHD NIH HHS HD060696NICHD NIH HHS R03 HD060696NIEHS NIH HHS ES017876NIEHS NIH HHS R01 ES017876NIEHS NIH HHS R56 ES017876
6 · The paper itself

Abstract

Recent theory in causal inference has provided concepts for mediation analysis and effect decomposition that allow one to decompose a total effect into a direct and an indirect effect. Here, it is shown that what is often taken as an indirect effect can in fact be further decomposed into a "pure" indirect effect and a mediated interactive effect, thus yielding a three-way decomposition of a total effect (direct, indirect, and interactive). This three-way decomposition applies to difference scales and also to additive ratio scales and additive hazard scales. Assumptions needed for the identification of each of these three effects are discussed and simple formulae are given for each when regression models allowing for interaction are used. The three-way decomposition is illustrated by examples from genetic and perinatal epidemiology, and discussion is given to what is gained over the traditional two-way decomposition into a direct and an indirect effect.

Indexed as

CausalityModels, StatisticalConfounding Factors, EpidemiologicHumansStatistics as TopicTreatment Outcome

Identifiers

PMID23354283
PMCPMC3563853

What OpenQuestion holds

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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.