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On the Monotonicity of a Nondifferentially Mismeasured Binary Confounder

Methodology 2020-08-25 v9 Machine Learning Machine Learning

Abstract

Suppose that we are interested in the average causal effect of a binary treatment on an outcome when this relationship is confounded by a binary confounder. Suppose that the confounder is unobserved but a nondifferential proxy of it is observed. We show that, under certain monotonicity assumption that is empirically verifiable, adjusting for the proxy produces a measure of the effect that is between the unadjusted and the true measures.

Keywords

Cite

@article{arxiv.2005.13245,
  title  = {On the Monotonicity of a Nondifferentially Mismeasured Binary Confounder},
  author = {Jose M. Peña},
  journal= {arXiv preprint arXiv:2005.13245},
  year   = {2020}
}