Notes on Regression Discontinuity Methods - [athena.sas.upenn ...

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External and Internal Validity of RD Designs • When treatment response is heterogeneous, RD approach provides estimates for subpopulation with xi=c. • If FRD and treatment effect heterogeneous, then effect is further restricted to the effect on compliers only (and compliers cannnot be identified in the data) • The RD design has high internal validity (valid with the population studied), but potentially limited external validity (limited application to outside populations)
Estimation • For sharp design, need estimators of two limits τSRD = limx↓cE(Yi|Xi = x) − limx↑cE(Yi|Xi = x) (10) • Could estimate each limit by kernel regression ˆµl(x)= Σ xi
Page 1 and 2: Applying Regression Discontinuity D
Page 3 and 4: • Many studies implicitly rely on
Page 5 and 6: Assignment to Treatment • Let (Xi
Page 8 and 9: Two Types of Designs • Fuzzy Regr
Page 10: Take the difference, use the fact t
Page 13 and 14: Define compliance status • Compli
Page 15 and 16: Interpretation of τFRD In that cas
Page 17: Comparison of RD Approach with a Ma
Page 21 and 22: Boundary bias plimˆµr (c)= c+h c
Page 23 and 24: Estimation under the FRD design Aga
Page 25 and 26: Smoothing parameter selection • F
Page 27 and 28: Assessing the variance of the estim
Page 29 and 30: Should analysis condition on other
Page 31 and 32: RD Examples: Card, D., Dobkin, C.,(
Page 33 and 34: RD Examples: Lalive (2007, J of Eco
Page 39: RD Examples: Jacob, B.A., Lefgren,
Page 46 and 47: Examples: Hahn, J., Todd, P., Van D
Page 52 and 53: RD Examples Estimating the value pa
Page 54 and 55: RD Examples: DiNardo, J., Lee, D.S.
Page 56 and 57: RD Examples: Lee (2007, J of Econom
Page 58 and 59: 3. Examine robustness of the result
Page 60: 4. Robustness can be examined using

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