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1 An Introduction to the Econometrics of Program Evaluation |
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1 | (48) |
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1 | (6) |
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1.2 Statistical Setup, Notation, and Assumptions |
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7 | (11) |
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1.2.1 Identification Under Random Assignment |
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13 | (1) |
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1.2.2 A Bayesian Interpretation of ATE Under Randomization |
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14 | (3) |
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1.2.3 Consequences of Nonrandom Assignment and Selection Bias |
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17 | (1) |
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1.3 Selection on Observables and Selection on Unobservables |
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18 | (6) |
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1.3.1 Selection on Observables (or Overt Bias) and Conditional Independence Assumption |
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19 | (2) |
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1.3.2 Selection on Unobservables (or Hidden Bias) |
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21 | (1) |
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1.3.3 The Overlap Assumption |
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22 | (2) |
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1.4 Characterizing Selection Bias |
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24 | (5) |
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1.4.1 Decomposing Selection Bias |
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27 | (2) |
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1.5 The Rationale for Choosing the Variables to Control for |
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29 | (4) |
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1.6 Partial Identification of ATEs: The Bounding Approach |
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33 | (4) |
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1.7 A Guiding Taxonomy of the Econometric Methods for Program Evaluation |
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37 | (3) |
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1.8 Policy Framework and the Statistical Design for Counterfactual Evaluation |
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40 | (3) |
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1.9 Available Econometric Software |
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43 | (1) |
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1.10 A Brief Outline of the Book |
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44 | (5) |
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45 | (4) |
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2 Methods Based on Selection on Observables |
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49 | (112) |
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50 | (1) |
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2.2 Regression-Adjustment |
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51 | (16) |
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2.2.1 Regression-Adjustment as Unifying Approach Under Observable Selection |
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51 | (5) |
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2.2.2 Linear Parametric Regression-Adjustment: The Control-Function Regression |
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56 | (5) |
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2.2.3 Nonlinear Parametric Regression-Adjustment |
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61 | (2) |
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2.2.4 Nonparametric and Semi-parametric Regression-Adjustment |
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63 | (4) |
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67 | (33) |
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2.3.1 Covariates and Propensity-Score Matching |
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68 | (2) |
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2.3.2 Identification of ATEs Under Matching |
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70 | (2) |
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2.3.3 Large Sample Properties of Matching Estimator(s) |
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72 | (4) |
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76 | (1) |
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2.3.5 Exact Matching and the "Dimensionality Problem" |
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76 | (2) |
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2.3.6 The Properties of the Propensity-Score |
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78 | (2) |
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2.3.7 Quasi-Exact Matching Using the Propensity-Score |
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80 | (3) |
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2.3.8 Methods for Propensity-Score Matching |
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83 | (5) |
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2.3.9 Inference for Matching Methods |
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88 | (6) |
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2.3.10 Assessing the Reliability of CMI by Sensitivity Analysis |
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94 | (2) |
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96 | (2) |
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2.3.12 Coarsened-Exact Matching |
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98 | (2) |
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100 | (13) |
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2.4.1 Reweighting and Weighted Least Squares |
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100 | (5) |
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2.4.2 Reweighting on the Propensity-Score Inverse-Probability |
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105 | (5) |
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2.4.3 Sample Estimation and Standard Errors for ATEs |
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110 | (3) |
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2.5 Doubly-Robust Estimation |
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113 | (1) |
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2.6 Implementation and Application of Regression-Adjustment |
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114 | (12) |
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2.7 Implementation and Application of Matching |
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126 | (20) |
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2.7.1 Covariates Matching |
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126 | (2) |
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2.7.2 Propensity-Score Matching |
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128 | (14) |
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2.7.3 An Example of Coarsened-Exact Matching Using cem |
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142 | (4) |
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2.8 Implementation and Application of Reweighting |
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146 | (15) |
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2.8.1 The Stata Routine treatrew |
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146 | (5) |
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2.8.2 The Relation Between treatrew and Stata 13's teffects ipw |
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151 | (3) |
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2.8.3 An Application of the Doubly-Robust Estimator |
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154 | (3) |
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157 | (4) |
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3 Methods Based on Selection on Unobservables |
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161 | (68) |
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161 | (2) |
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3.2 Instrumental-Variables |
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163 | (17) |
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3.2.1 IV Solution to Hidden Bias |
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164 | (2) |
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3.2.2 IV Estimation of ATEs |
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166 | (6) |
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3.2.3 IV with Observable and Unobservable Heterogeneities |
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172 | (3) |
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3.2.4 Problems with IV Estimation |
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175 | (5) |
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180 | (8) |
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3.3.1 Characterizing OLS Bias within a Selection-Model |
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181 | (2) |
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3.3.2 A Technical Exposition of the Selection-Model |
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183 | (4) |
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3.3.3 Selection-Model with a Binary Outcome |
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187 | (1) |
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3.4 Difference-in-Differences |
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188 | (14) |
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3.4.1 DID with Repeated Cross Sections |
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189 | (5) |
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3.4.2 DID with Panel Data |
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194 | (4) |
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198 | (1) |
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3.4.4 Time-Variant Treatment and Pre-Post Treatment Analysis |
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199 | (3) |
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3.5 Implementation and Application of IV and Selection-Model |
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202 | (14) |
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3.5.1 The Stata Command ivtreatreg |
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203 | (2) |
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3.5.2 A Monte Carlo Experiment |
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205 | (3) |
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3.5.3 An Application to Determine the Effect of Education on Fertility |
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208 | (4) |
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3.5.4 Applying the Selection-Model Using etregress |
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212 | (4) |
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3.6 Implementation and Application of DID |
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216 | (13) |
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3.6.1 DID with Repeated Cross Sections |
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216 | (5) |
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3.6.2 DID Application with Panel Data |
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221 | (5) |
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226 | (3) |
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4 Local Average Treatment Effect and Regression-Discontinuity-Design |
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229 | |
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229 | (3) |
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4.2 Local Average Treatment Effect |
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232 | (16) |
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4.2.1 Randomization Under Imperfect Compliance |
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232 | (1) |
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4.2.2 Wald Estimator and LATE |
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233 | (4) |
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237 | (2) |
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4.2.4 Estimating Average Response for Compliers |
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239 | (3) |
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4.2.5 Characterizing Compliers |
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242 | (1) |
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4.2.6 LATE with Multiple Instruments and Multiple Treatment |
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243 | (5) |
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4.3 Regression-Discontinuity-Design |
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248 | (22) |
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249 | (5) |
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254 | (5) |
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4.3.3 The Choice of the Bandwidth and Polynomial Order |
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259 | (7) |
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4.3.4 Accounting for Additional Covariates |
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266 | (1) |
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4.3.5 Testing RDD Reliability |
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267 | (2) |
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4.3.6 A Protocol for Practical Implementation of RDD |
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269 | (1) |
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4.4 Application and Implementation |
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270 | |
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4.4.1 An Application of LATE |
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270 | (15) |
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4.4.2 An Application of RDD by Simulation |
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285 | (22) |
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307 | |