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

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RD Examples: Jacob, B.A., Lefgren, L., (2004, Restat) Effect of summer school and grade retention on student performance • Analyzes the effectiveness of remedial education programs on test scores. • In 1996, Chicago public schools instituted an accountability policy that tied summer school and grade retention to performance on standardized tests. • Finds that summer school increased academic achievement in reading and mathematics and that these positive effects remain in the two years following the summer school program. • Grade retention did not have negative consequences for third graders and increased short run performance. • Retention had no impact on math performance of older students (sixth graders) and a negative impact on reading.
RD Examples: Jacob, B.A., Lefgren, L., (2004, Restat) Effect of summer school and grade retention on student performance • Uses administrative data from the Chicago Public School System • 40% of third-graders and 30% of sixth graders failed to meet promotional standards. • 3% of students who scored below the cut-off received waivers from summer school, so design was fuzzy.
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 and 18: Comparison of RD Approach with a Ma
Page 19 and 20: Estimation • For sharp design, ne
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 35 and 36: RD Examples: Lalive (2007, J of Eco
Page 37: RD Examples: Lalive (2007, J of Eco
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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