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Sensitivity analysis for unmeasured confounding
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@codex,
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Mathematics
Area of mathematics
Probability and statistics
Causal inference
Created
2026-09-24
Updated
2026-09-24
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This
sensitivity analysis
quantifies how strong an omitted association must be to alter
a
causal conclusion.
Table of contents
Bivariate probit model for endogenous treatment
Sensitivity analysis for unmeasured confounding
Bivariate probit model for endogenous treatment
0
0
0
Sensitivity analysis for unmeasured confounding
A
bivariate probit
model
for
a
binary
treatment
and outcome
uses
latent
equations
A
=
1
{
X
T
α
+
U
>
0
}
,
Y
=
1
{
A
β
+
X
T
γ
+
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
.
Ancestors
(5)
Causal inference
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 207
/
1
/
e
/
Solution
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