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Bounds and Sensitivity Analysis of the Causal Effect Under Outcome-Independent MNAR Confounding

Jose M. Peña

Abstract

We report assumption-free bounds for any contrast between the probabilities of the potential outcome under exposure and non-exposure when the confounders are missing not at random. We assume that the missingness mechanism is outcome-independent. We also report a sensitivity analysis method to complement our bounds.

Bounds and Sensitivity Analysis of the Causal Effect Under Outcome-Independent MNAR Confounding

Abstract

We report assumption-free bounds for any contrast between the probabilities of the potential outcome under exposure and non-exposure when the confounders are missing not at random. We assume that the missingness mechanism is outcome-independent. We also report a sensitivity analysis method to complement our bounds.

Paper Structure

This paper contains 8 sections, 25 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Bounds
  3. Example
  4. Experiments
  5. Sensitivity Analysis
  6. Example
  7. Experiments
  8. Discussion

Figures (2)

  • Figure 1: Causal graph where the dashed edges represent the missingness mechanism.
  • Figure 2: Bounds for the example in Section \ref{['sec:example2']}.