Analytic Bounds on Causal Risk Differences in Directed Acyclic Graphs Involving Three Observed Binary Variables.

@article{Kaufman2009AnalyticBO,
  title={Analytic Bounds on Causal Risk Differences in Directed Acyclic Graphs Involving Three Observed Binary Variables.},
  author={Sol Kaufman and Jay S Kaufman and Richard F. Maclehose},
  journal={Journal of statistical planning and inference},
  year={2009},
  volume={139 10},
  pages={3473-3487}
}
We apply a linear programming approach which uses the causal risk difference (RD(C)) as the objective function and provides minimum and maximum values that RD(C) can achieve under any set of linear constraints on the potential response type distribution. We consider two scenarios involving binary exposure X, covariate Z and outcome Y. In the first, Z is not affected by X, and is a potential confounder of the causal effect of X on Y. In the second, Z is affected by X and intermediate in the… CONTINUE READING

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