Evidence map›Paper›PMID 34562016›Full record

ArticleBiometrics2023

Bayesian multiple index models for environmental mixtures.

Glen McGee, Ander Wilson, Thomas F Webster, Brent A Coull

Abstract read
In one paragraph

Article in Biometrics, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.

0numbers the graph read from it
0cells of the map it votes in
19citing 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

19 citing papers in PubMed.

  1. Article
  2. Workflow for Statistical Analysis of Environmental Mixtures.Environmental health perspectives · 2026
    Review
  3. Article
  4. Distributed lag interaction model with index modification.Biostatistics (Oxford, England) · 2025
    Article
  5. Article
  6. Article
  7. Environmental Mixtures Analysis (E-MIX) Workflow and Methods Repository.medRxiv : the preprint server for health sciences · 2024
    Article
  8. Article
  9. Article
  10. Article
  11. Article
  12. Article
  13. Constrained groupwise additive index models.Biostatistics (Oxford, England) · 2023
    Article
  14. A Bayesian Partial Membership Model for Multiple Exposures with Uncertain Group Memberships.Journal of agricultural, biological, and environmental statistics · 2023
    Article
  15. Article
  16. Article
  17. Methodological Challenges in Spatial and Contextual Exposome-Health Studies.Critical reviews in environmental science and technology · 2023
    Article
  18. Article
  19. Review
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

4 authors.

Glen McGeeDepartment of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ontario, Canada.ORCID 0000-0002-6133-9169
Ander WilsonDepartment of Statistics, Colorado State University, Fort Collins, Colorado, USA.ORCID 0000-0003-4774-3883
Thomas F WebsterDepartment of Environmental Health, Boston University, Boston, Massachusetts, USA.
Brent A CoullDepartment of Biostatistics, Harvard T. H. Chan School of Public Health, Boston, Massachusetts, USA.ORCID 0000-0002-1808-4156

Funding

Translational Research Support CoreP30ES000002 · NIEHS · HARVARD UNIVERSITY (SCH OF PUBLIC HLTH) · PI JAIME ELIZABETH HART · 1985 to 2026
$44.6M
Spatial patterns of metals and metal mixtures in drinking waterP42ES030990 · NIEHS · HARVARD UNIVERSITY D/B/A HARVARD SCHOOL OF PUBLIC HEALTH · PI ZIMMERMAN, JULIE · 2020 to 2024
$8.3M
Maternal organophosphate pesticide exposure, low birth weight and placental injuryR01ES028688 · NIEHS · BETH ISRAEL DEACONESS MEDICAL CENTER · PI HACKER, MICHELE RENEE, WYLIE, BLAIR JOHNSON · 2018 to 2021
$2.1M
Methods for Data Integration and Risk Assessment for Environmental MixturesR01ES028811 · NIEHS · ICAHN SCHOOL OF MEDICINE AT MOUNT SINAI · PI COULL, BRENT ANDREW, GENNINGS, CHRIS · 2018 to 2021
$1.9M
Development and Testing of Response Surface Methods for Investigating the Epidemiology of Exposure to MixturesR01ES028800 · NIEHS · BOSTON UNIVERSITY MEDICAL CAMPUS · PI WEBSTER, THOMAS F · 2018 to 2021
$1.7M
NIEHS NIH HHS ES000002NIEHS NIH HHS ES028688NIEHS NIH HHS ES028800NIEHS NIH HHS ES028811NIEHS NIH HHS P30 ES000002NIEHS NIH HHS P42 ES030990NIEHS NIH HHS R01 ES028688NIEHS NIH HHS R01 ES028800NIEHS NIH HHS R01 ES028811
6 · The paper itself

Abstract

An important goal of environmental health research is to assess the risk posed by mixtures of environmental exposures. Two popular classes of models for mixtures analyses are response-surface methods and exposure-index methods. Response-surface methods estimate high-dimensional surfaces and are thus highly flexible but difficult to interpret. In contrast, exposure-index methods decompose coefficients from a linear model into an overall mixture effect and individual index weights; these models yield easily interpretable effect estimates and efficient inferences when model assumptions hold, but, like most parsimonious models, incur bias when these assumptions do not hold. In this paper, we propose a Bayesian multiple index model framework that combines the strengths of each, allowing for non-linear and non-additive relationships between exposure indices and a health outcome, while reducing the dimensionality of the exposure vector and estimating index weights with variable selection. This framework contains response-surface and exposure-index models as special cases, thereby unifying the two analysis strategies. This unification increases the range of models possible for analysing environmental mixtures and health, allowing one to select an appropriate analysis from a spectrum of models varying in flexibility and interpretability. In an analysis of the association between telomere length and 18 organic pollutants in the National Health and Nutrition Examination Survey (NHANES), the proposed approach fits the data as well as more complex response-surface methods and yields more interpretable results.

Indexed as

Environmental ExposureEnvironmental PollutantsBayes TheoremLinear ModelsModels, StatisticalNutrition SurveysEnvironmental Pollutantsenvironmental healthkernel machine regressionmultiple index modelsvariable selection

Identifiers

PMID34562016
PMCPMC11022158

What OpenQuestion holds

Textmetadata
LicenceTDM
Read underepoch 390

Registered trials

None linked

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.