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Average Causal Effect Estimation Via Instrumental Variables: the No Simultaneous Heterogeneity Assumption

Hartwig, Fernando Pires; Wang, Linbo; Smith, George Davey; Davies, Neil Martin; (2023) Average Causal Effect Estimation Via Instrumental Variables: the No Simultaneous Heterogeneity Assumption. Epidemiology , 34 (3) pp. 325-332. 10.1097/EDE.0000000000001596. Green open access

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Abstract

BACKGROUND: Instrumental variables (IVs) can be used to provide evidence as to whether a treatment has a causal effect on an outcome . Even if the instrument satisfies the three core IV assumptions of relevance, independence, and exclusion restriction, further assumptions are required to identify the average causal effect (ACE) of on . Sufficient assumptions for this include homogeneity in the causal effect of on ; homogeneity in the association of with ; and no effect modification. METHODS: We describe the no simultaneous heterogeneity assumption, which requires the heterogeneity in the - causal effect to be mean independent of (i.e., uncorrelated with) both and heterogeneity in the - association. This happens, for example, if there are no common modifiers of the - effect and the - association, and the - effect is additive linear. We illustrate the assumption of no simultaneous heterogeneity using simulations and by re-examining selected published studies. RESULTS: Under no simultaneous heterogeneity, the Wald estimand equals the ACE even if both homogeneity assumptions and no effect modification (which we demonstrate to be special cases of-and therefore stronger than-no simultaneous heterogeneity) are violated. CONCLUSIONS: The assumption of no simultaneous heterogeneity is sufficient for identifying the ACE using IVs. Since this assumption is weaker than existing assumptions for ACE identification, doing so may be more plausible than previously anticipated.

Type: Article
Title: Average Causal Effect Estimation Via Instrumental Variables: the No Simultaneous Heterogeneity Assumption
Location: United States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1097/EDE.0000000000001596
Publisher version: https://doi.org/10.1097/EDE.0000000000001596
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Causal inference, DEMAND, Effect modification, Homogeneity, Identification, IDENTIFICATION, Instrumental variables, Life Sciences & Biomedicine, MENDELIAN RANDOMIZATION, MODELS, Public, Environmental & Occupational Health, Science & Technology
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > Division of Psychiatry
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > Division of Psychiatry > Epidemiology and Applied Clinical Research
URI: https://discovery.ucl.ac.uk/id/eprint/10177965
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