Robustness of Measures of Interaction to Unmeasured Confounding

@inproceedings{Tchetgen2012RobustnessOM,
  title={Robustness of Measures of Interaction to Unmeasured Confounding},
  author={Eric J. Tchetgen Tchetgen and Tyler J. VanderWeele},
  year={2012}
}
In this paper, we study the impact of unmeasured confounding on inference about a twoway interaction in a mean regression model with identity, log or logit link function. Necessary and su¢ cient conditions are established for a two-way interaction to be nonparametrically identi…ed from the observed data, despite unmeasured confounding for the factors de…ning the interaction. A lung cancer data application illustrates the results. 

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