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Causal inference with confounders missing not at random

Author

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  • S Yang
  • L Wang
  • P Ding

Abstract

SummaryIt is important to draw causal inference from observational studies, but this becomes challenging if the confounders have missing values. Generally, causal effects are not identifiable if the confounders are missing not at random. In this article we propose a novel framework for nonparametric identification of causal effects with confounders subject to an outcome-independent missingness, which means that the missing data mechanism is independent of the outcome, given the treatment and possibly missing confounders. We then propose a nonparametric two-stage least squares estimator and a parametric estimator for causal effects.

Suggested Citation

  • S Yang & L Wang & P Ding, 2019. "Causal inference with confounders missing not at random," Biometrika, Biometrika Trust, vol. 106(4), pages 875-888.
    • Handle: RePEc:oup:biomet:v:106:y:2019:i:4:p:875-888.
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    File URL: http://hdl.handle.net/10.1093/biomet/asz048
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    Citations

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    Cited by:

    1. Corder Nathan & Yang Shu, 2020. "Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness," Journal of Causal Inference, De Gruyter, vol. 8(1), pages 249-271, January.
    2. Corder Nathan & Yang Shu, 2020. "Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness," Journal of Causal Inference, De Gruyter, vol. 8(1), pages 249-271, January.
    3. Xiaojun Mao & Zhonglei Wang & Shu Yang, 2023. "Matrix completion under complex survey sampling," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(3), pages 463-492, June.
    4. Brian J. Reich & Shu Yang & Yawen Guan & Andrew B. Giffin & Matthew J. Miller & Ana Rappold, 2021. "A Review of Spatial Causal Inference Methods for Environmental and Epidemiological Applications," International Statistical Review, International Statistical Institute, vol. 89(3), pages 605-634, December.
    5. Yilin Li & Wang Miao & Ilya Shpitser & Eric J. Tchetgen Tchetgen, 2023. "A self‐censoring model for multivariate nonignorable nonmonotone missing data," Biometrics, The International Biometric Society, vol. 79(4), pages 3203-3214, December.
    6. Huaiyu Zang & Hang J. Kim & Bin Huang & Rhonda Szczesniak, 2023. "Bayesian causal inference for observational studies with missingness in covariates and outcomes," Biometrics, The International Biometric Society, vol. 79(4), pages 3624-3636, December.

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