Regression Discontinuity - Institute for Policy Research

Frontier-specific Effect (τ R )
t R
= E[G i
| R i
ÎF R
] =
ò
m³m c
g(r,m) f (r = r c
,m)dm
ò
m³m c
f (r = r c
,m)dm
Where g(r, m) is the treatment function for the R frontier along the M
assignment variable, and f r (r i = r c , m) is the conditional density function for
the F R .
•To get the conditional expectation F R , we integrate the treatment function
with the conditional density function along F R .
•Note that no weights are needed because there is no pooling of
treatment effects across F R and F M .
•Average treatment effect for the M frontier is calculated in a similar with
corresponding treatment and density functions.