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The directions of selection bias

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  • Jiang, Zhichao
  • Ding, Peng

Abstract

We show that if the exposure and the outcome affect the selection indicator in the same direction and have non-positive interaction on the risk difference, risk ratio or odds ratio scale, the exposure-outcome odds ratio in the selected population is a lower bound for the true odds ratio.

Suggested Citation

  • Jiang, Zhichao & Ding, Peng, 2017. "The directions of selection bias," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 104-109.
    • Handle: RePEc:eee:stapro:v:125:y:2017:i:c:p:104-109
    DOI: 10.1016/j.spl.2017.01.022
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    References listed on IDEAS

    as
    1. Sander Greenland, 2005. "Multiple‐bias modelling for analysis of observational data," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 267-306, March.
    2. Peng Ding & Tyler J. Vanderweele, 2016. "Sharp sensitivity bounds for mediation under unmeasured mediator-outcome confounding," Biometrika, Biometrika Trust, vol. 103(2), pages 483-490.
    3. P. Ding & T.J. Vanderweele & J. M. Robins, 2017. "Instrumental variables as bias amplifiers with general outcome and confounding," Biometrika, Biometrika Trust, vol. 104(2), pages 291-302.
    4. Tyler J. VanderWeele & James M. Robins, 2010. "Signed directed acyclic graphs for causal inference," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(1), pages 111-127, January.
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    Cited by:

    1. Shahar Doron J. & Shahar Eyal, 2017. "A Theorem at the Core of Colliding Bias," The International Journal of Biostatistics, De Gruyter, vol. 13(1), pages 1-11, May.

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