Regression Discontinuity - Institute for Policy Research

The Average Treatment Effect along
the Cutoff Frontier (τ MRD )
τ MRD is the weighted average of conditional expectations given
the single frontiers F R and F M :
t MRD
= E[G i
| (R i
, M i
) ÎF] = w R
E[G i
| R i
ÎF R
] + w M
E[G i
| M i
ÎF M
]
= w R
t R
+ w M
t M
Where G i is the average size of the discontinuity at the R and M
cutoff frontiers, and f(r,m) is the joint density function for
assignment variables R and M.