Evidence map›Paper›PMID 25909047›Full record

ArticleJournal of causal inference2014

Targeted Maximum Likelihood Estimation for Dynamic and Static Longitudinal Marginal Structural Working Models.

Maya Petersen, Joshua Schwab, Susan Gruber, Nello Blaser, Michael Schomaker, Mark van der Laan

Abstract read
In one paragraph

Article in Journal of causal inference, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 81 papers.

0numbers the graph read from it
0cells of the map it votes in
81citing papers in PubMed
–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.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

81 citing papers in PubMed.

  1. Observational
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  6. Deep Doubly Debiased Longitudinal Effect Estimation with ICE G-Computation.KDD : proceedings. International Conference on Knowledge Discovery & Data Mining · 2026
    Article
  7. Article
  8. Effects Among the Affected.Statistics in medicine · 2025
    Article
  9. Article
  10. Article
  11. Article
  12. Article
  13. Observational
  14. Article
  15. Article
  16. Article
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21 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

6 authors.

Maya PetersenDivision of Biostatistics, University of California, Berkeley, CA, USA.
Joshua SchwabDivision of Biostatistics, University of California, Berkeley, CA, USA.
Susan GruberDepartment of Epidemiology, Harvard School of Public Health, Boston, MA, USA.
Nello BlaserInstitute of Social and Preventive Medicine (ISPM), University of Bern, Bern, Switzerland.
Michael SchomakerCentre for Infectious Disease Epidemiology & Research, University of Cape Town, Cape Town, South Africa.
Mark van der LaanDivision of Biostatistics, University of California, Berkeley, CA, USA.

Funding

Observational Antiretroviral Studies In Southern Africa (OASIS) CollaborationU01AI069924 · NIAID · UNIVERSITAT BERN · PI Cleophas Chimbetete, Mary-Ann Davies · 2006 to 2026
$55.9M
Targeted Learning using adaptive designs for HIV Epidemic control in East AfricaR01AI074345 · NIAID · UNIVERSITY OF CALIFORNIA BERKELEY · PI PETERSEN, MAYA LIV, VANDERLAAN, MARK J · 2007 to 2023
$6.6M
NIAID NIH HHS R01 AI074345NIAID NIH HHS U01 AI069924
6 · The paper itself

Abstract

This paper describes a targeted maximum likelihood estimator (TMLE) for the parameters of longitudinal static and dynamic marginal structural models. We consider a longitudinal data structure consisting of baseline covariates, time-dependent intervention nodes, intermediate time-dependent covariates, and a possibly time-dependent outcome. The intervention nodes at each time point can include a binary treatment as well as a right-censoring indicator. Given a class of dynamic or static interventions, a marginal structural model is used to model the mean of the intervention-specific counterfactual outcome as a function of the intervention, time point, and possibly a subset of baseline covariates. Because the true shape of this function is rarely known, the marginal structural model is used as a working model. The causal quantity of interest is defined as the projection of the true function onto this working model. Iterated conditional expectation double robust estimators for marginal structural model parameters were previously proposed by Robins (2000, 2002) and Bang and Robins (2005). Here we build on this work and present a pooled TMLE for the parameters of marginal structural working models. We compare this pooled estimator to a stratified TMLE (Schnitzer et al. 2014) that is based on estimating the intervention-specific mean separately for each intervention of interest. The performance of the pooled TMLE is compared to the performance of the stratified TMLE and the performance of inverse probability weighted (IPW) estimators using simulations. Concepts are illustrated using an example in which the aim is to estimate the causal effect of delayed switch following immunological failure of first line antiretroviral therapy among HIV-infected patients. Data from the International Epidemiological Databases to Evaluate AIDS, Southern Africa are analyzed to investigate this question using both TML and IPW estimators. Our results demonstrate practical advantages of the pooled TMLE over an IPW estimator for working marginal structural models for survival, as well as cases in which the pooled TMLE is superior to its stratified counterpart.

Indexed as

confoundingdynamic regimeright censoringsemiparametric statistical modeltargeted minimum loss based estimation

Identifiers

PMID25909047
PMCPMC4405134

What OpenQuestion holds

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Registered trials

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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.