English

Causal Inference with Missing Exposures and Missing Outcomes

Methodology 2026-04-15 v3

Abstract

Missing data are ubiquitous in public health research. When estimating causal effects, there are well-established methods to address bias to due missing outcomes. Commonly, causal estimands are defined under hypothetical interventions to "set" the exposure and to prevent missingness. We demonstrate how this framework can be extended to missing exposures. We further extend this framework to incorporate missingness on the baseline outcome, which induces missingness on the population of interest. To do so, we highlight the use of Counterfactual Strata Effects: causal estimands where the focus population is subject to missingness and/or impacted by the exposure. Our work is motivated by SEARCH-TB's investigation of the effect of alcohol consumption on the risk of incident tuberculosis (TB) infection in rural Uganda. This study posed several real-world challenges: confounding, missingness on the exposure (alcohol use), missingness on the baseline outcome (defining who was at-risk of TB and, thus, in the focus population), and missingness on the outcome at follow-up (capturing who acquired TB). We present a series of causal models and identification results to demonstrate the handling of missingness in these settings. We highlight the use of TMLE with Super Learner and the real-world consequences of our approach.

Keywords

Cite

@article{arxiv.2506.03336,
  title  = {Causal Inference with Missing Exposures and Missing Outcomes},
  author = {Kirsten E. Landsiedel and Rachel Abbott and Atukunda Mucunguzi and Florence Mwangwa and Elijah Kakande and Edwin D. Charlebois and Carina Marquez and Moses R. Kamya and Laura B. Balzer},
  journal= {arXiv preprint arXiv:2506.03336},
  year   = {2026}
}

Comments

16 pages of main text (double-spaced; including 4 figures) + 16 pages of supplementary material (double-spaced; 1 figure; 2 tables) + 86 references

R2 v1 2026-07-01T02:57:52.848Z