# On the Monotonicity of a Nondifferentially Mismeasured Binary Confounder

arXiv: https://arxiv.org/abs/2005.13245 · HTML: https://mlsanity.com/paper/2005.13245/

## Key facts

- Cited by 6 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 May 2020.

## Built on by (most cited first, 6 of 6)

- [Conceptualizing Treatment Leakage in Text-based Causal Inference](https://mlsanity.com/paper/2205.00465/) (2022)
- [Integrating Earth Observation Data into Causal Inference: Challenges and Opportunities](https://mlsanity.com/paper/2301.12985/) (2023)
- [Estimating Causal Effects Under Image Confounding Bias with an Application to Poverty in Africa](https://mlsanity.com/paper/2206.06410/) (2022)
- [Bounding the Probabilities of Benefit and Harm Through Sensitivity Parameters and Proxies](https://mlsanity.com/paper/2303.05396/) (2023)
- [On the Non-Monotonicity of a Non-Differentially Mismeasured Binary Confounder](https://mlsanity.com/paper/2101.08007/) (2021)
- [Simple yet Sharp Sensitivity Analysis for Any Contrast Under Unmeasured Confounding](https://mlsanity.com/paper/2406.07940/) (2024)

## Abstract (arXiv)

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.