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Sensitivity Analysis for Causal Inference under Unmeasured Confounding and Measurement Error Problems

Author

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  • Díaz Iván

    (Department of Biostatistics, Johns Hopkins Bloomberg School of Public Health, Baltimore, MD, USA)

  • van der Laan Mark J.

    (University of California – Berkeley, Berkeley, CA 94709, USA)

Abstract

In this article, we present a sensitivity analysis for drawing inferences about parameters that are not estimable from observed data without additional assumptions. We present the methodology using two different examples: a causal parameter that is not identifiable due to violations of the randomization assumption, and a parameter that is not estimable in the nonparametric model due to measurement error. Existing methods for tackling these problems assume a parametric model for the type of violation to the identifiability assumption and require the development of new estimators and inference for every new model. The method we present can be used in conjunction with any existing asymptotically linear estimator of an observed data parameter that approximates the unidentifiable full data parameter and does not require the study of additional models.

Suggested Citation

  • Díaz Iván & van der Laan Mark J., 2013. "Sensitivity Analysis for Causal Inference under Unmeasured Confounding and Measurement Error Problems," The International Journal of Biostatistics, De Gruyter, vol. 9(2), pages 149-160, November.
    • Handle: RePEc:bpj:ijbist:v:9:y:2013:i:2:p:149-160:n:8
    DOI: 10.1515/ijb-2013-0004
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    References listed on IDEAS

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    1. Daniel O. Scharfstein, 2002. "Estimation of the failure time distribution in the presence of informative censoring," Biometrika, Biometrika Trust, vol. 89(3), pages 617-634, August.
    2. James Robins & Andrea Rotnitzky & Stijn Vansteelandt, 2007. "Discussions," Biometrics, The International Biometric Society, vol. 63(3), pages 650-653, September.
    3. Geert Verbeke & Geert Molenberghs & Herbert Thijs & Emmanuel Lesaffre & Michael G. Kenward, 2001. "Sensitivity Analysis for Nonrandom Dropout: A Local Influence Approach," Biometrics, The International Biometric Society, vol. 57(1), pages 7-14, March.
    4. Rotnitzky Andrea & Daniel Scharfstein & Ting‐Li Su & James Robins, 2001. "Methods for Conducting Sensitivity Analysis of Trials with Potentially Nonignorable Competing Causes of Censoring," Biometrics, The International Biometric Society, vol. 57(1), pages 103-113, March.
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    Cited by:

    1. Ashesh Rambachan & Amanda Coston & Edward Kennedy, 2022. "Robust Design and Evaluation of Predictive Algorithms under Unobserved Confounding," Papers 2212.09844, arXiv.org, revised May 2024.

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