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Regression-Discontinuity Design - Institute for Policy Research

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Treatment Weights <strong>for</strong> τ MRD<br />

Weights w r and w m reflect the probabilities <strong>for</strong> observing a<br />

subject at the R‐ or M‐frontiers<br />

w M<br />

=<br />

∫<br />

r ≥r c<br />

f (r,m = m c<br />

)dr<br />

∫ f (r = r c<br />

,m)dm + ∫ f (r,m = m c<br />

)dr<br />

m≥m c<br />

r ≥r c<br />

∫<br />

m≥ m c<br />

f (r = r c<br />

,m)dm<br />

w R<br />

=<br />

∫ f (r = r c<br />

,m)dm + ∫ f (r,m = m c<br />

)dr<br />

However, note m≥m that c weights are sensitive r ≥r c to the scaling and<br />

distribution of the assignment variables.

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