Regression Discontinuity - Institute for Policy Research

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Requirements <strong>for</strong> Estimating Treatment Effects in Fuzzy RDDs • Similar to how non-compliance is handled in randomized experiments • Requires the following: 1. That the instrument (treatment assignment) is correlated with treatment receipt; and 2. That the instrument is not correlated with errors in the outcome model.
“Non”-RD designs • No discontinuity in the probability of treatment at the cutoff. • Occurs when there are so many overrides to the cutoff that the assignment mechanism is meaningless. • Treatment effects cannot be estimated at the cutoff.
Page 1 and 2: Regression-Discontinuity Design Day
Page 3 and 4: Design Overview Design Examples Vis
Page 5 and 6: RDD Visual Depiction Comparison
Page 7 and 8: RDD Visual Depiction Discontinuity,
Page 9 and 10: Two Rationales for RDD 1. Selection
Page 11 and 12: Required Assumptions for RD design
Page 13 and 14: Sharp RD Designs • Requires that
Page 15: Estimating Treatment Effects in Fuz
Page 19 and 20: 2. Manipulation of the assignment v
Page 21 and 22: Diagnostic test • Can perform “
Page 23 and 24: Analytic Threats to RD Design: Para
Page 25 and 26: The size of the discontinuity at th
Page 27: Functional Form • Put more techni
Page 30 and 31: Functional Form: Interactions • S
Page 32 and 33: If we superimpose the regression li
Page 34 and 35: Here we see an example where the tr
Page 36 and 37: Adding Nonlinear Terms to the Model
Page 38 and 39: Adding Nonlinear and Interaction Te
Page 40 and 41: Adding Terms, Continued • When in
Page 42 and 43: Example of Parametric Plot used aga
Page 44 and 45: Non-parametric Approach lim x¯c E[
Page 46 and 47: 3. Semi-Parametric Approach Y i = t
Page 48 and 49: Problem of Incorrect Bandwidth Sele
Page 50 and 51: RDD Example 1
Page 52: RD Design assumption 1 • Probabil
Page 55 and 56: Implementation assumption 2 • No
Page 57 and 58: Analytic assumption 1 continued •
Page 59 and 60: Shadish et al. (2011) Vocabulary RD
Page 61 and 62: RDD Example 2
Page 63 and 64: Best case scenario - regression lin
Page 65 and 66: Correct specification of functional
Page 67 and 68:
What to do (2) • Parametric appro
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What to do (4) 0 50 100 150 locpoly
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What to do (5) • Move to a tie br
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Example Cocaine Project • Include
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What to do (7) • Estimation throu
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2. Dealing with Overrides to the cu
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2. Overrides to the cutoff • Mult
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Specification of Functional Form Pa
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Specification of Functional Form No
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Overrides to cutoff (2) Alternative
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Final estimates Function al form Pa
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Addressing Potential Issues with us
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African-American Home language Span
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What about cutoff Shift in Number o
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McCrary Test for New Jersey
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Take Home Message • Like RE, the
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Inadequate statistical power • Ne
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Power Considerations Common to Rand
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What “Uniquely” Affects Power i
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Generalizing Beyond The Cut-off In
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Adding an Untreated RD Comparison F
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Creating A Regression Discontinuity
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Pretest and Posttest RD • Imagine
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What Is The Target Parameter? • A
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Table 1: Bias At the Cutoff Adding
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Summary of what the Pretest- Supple
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Additional Topic not covered in Cla
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Sample Data with Multiple Cutoffs O
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Typical estimation strategy for RDs
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Issue 1: To standardize or not stan
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Generalizing Treatment Effects Acro
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…Also Common in • Meta-Analysis
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What is Special about Pooling RD Es
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Benefits and Tradeoffs of Option 1
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Benefits and Tradeoffs of Option 2
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Distribution of Units in an RD with
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Multivariate RDD with Two Assignmen
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The Average Treatment Effect along
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Treatment Weights for τ MRD Weight
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Estimating Treatment Effects Four P
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Centering Approach Procedure allows
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IV Approach (1) Rather than exclude
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Regression Discontinuity - Institute for Policy Research

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