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Sensitivity analysis for unmeasured confounding

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Causal inference
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
This sensitivity analysis quantifies how strong an omitted association must be to alter a causal conclusion.
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    • Bivariate probit model for endogenous treatment Sensitivity analysis for unmeasured confounding

Bivariate probit model for endogenous treatment

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Sensitivity analysis for unmeasured confounding
A bivariate probit model for a binary treatment and outcome uses latent equations
A=1{XTα+U>0}​,Y=1{Aβ+XTγ+V>0}​,
(1)
where (U,V) has a bivariate normal distribution. Its correlation parameter represents dependence between the two latent disturbances; when nonzero, treatment is endogenous in the outcome equation.

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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 207 / 1 / e / Solution

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