Preface |
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xv | |
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1 Basics of Treatment Effect Analysis |
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1 | (27) |
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1.1 Counterfactual, Intervention, and Causal Relation |
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1 | (4) |
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1.1.1 Potential Outcomes and Intervention |
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1 | (2) |
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1.1.2 Causality and Association |
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3 | (1) |
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1.1.3 Partial Equilibrium Analysis and Remarks |
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4 | (1) |
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1.2 Various Treatment Effects and No Effects |
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5 | (3) |
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5 | (1) |
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1.2.2 Three No-Effect Concepts |
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6 | (1) |
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7 | (1) |
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1.3 Group-Mean Difference and Randomization |
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8 | (5) |
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1.3.1 Group-Mean Difference and Mean Effect |
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8 | (2) |
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1.3.2 Consequences of Randomization |
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10 | (2) |
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1.3.3 Checking Out Covariate Balance |
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12 | (1) |
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1.4 Overt Bias, Hidden Bias, and Selection Problems |
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13 | (5) |
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1.4.1 Overt and Hidden Biases |
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13 | (1) |
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1.4.2 Selection on Observables and Unobservables |
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14 | (2) |
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1.4.3 Linear Models and Biases |
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16 | (2) |
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1.5 Estimation with Group Mean Difference and LSE |
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18 | (4) |
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1.5.1 Group-Mean Difference and LSE |
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18 | (1) |
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1.5.2 Job Training Example |
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19 | (2) |
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1.5.3 Linking Counterfactuals to Linear Models |
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21 | (1) |
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1.6 Structural Form, Assignment, and Marginal Model |
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22 | (3) |
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1.6.1 Structural versus Reduced Forms for Response |
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22 | (1) |
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1.6.2 Treatment Structural Form and Assignment |
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23 | (1) |
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1.6.3 Marginal Structural Model |
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24 | (1) |
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1.7 Simpson's Paradox and False Covariate Control |
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25 | (3) |
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28 | (33) |
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2.1 Basics of Matching and Various Effects |
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28 | (7) |
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28 | (2) |
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2.1.2 Effect on Treated and Effect on Population |
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30 | (1) |
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2.1.3 Dimension and Support Problems |
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31 | (1) |
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2.1.4 Variables to Control |
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32 | (3) |
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2.2 Implementing Matching |
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35 | (11) |
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2.2.1 Decisions to Make in Matching |
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35 | (2) |
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2.2.2 Matching Estimators |
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37 | (3) |
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2.2.3 Asymptotic Variance Estimation |
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40 | (4) |
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2.2.4 Labor Union Effect on Wage |
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44 | (2) |
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2.3 Propensity Score Matching (PSM) |
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46 | (8) |
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2.3.1 Propensity Score as a Balancing Score |
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46 | (1) |
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2.3.2 Removing Overt Bias with Propensity Score |
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47 | (1) |
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2.3.3 Implementing PSM and Bootstrap |
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48 | (2) |
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2.3.4 PSM Empirical Examples |
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50 | (2) |
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2.3.5 Propensity Score Specification Issues* |
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52 | (2) |
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54 | (7) |
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2.4.1 Covariate Balance Check |
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54 | (2) |
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2.4.2 Matching for Hidden Bias |
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56 | (2) |
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2.4.3 Prognostic Score and More* |
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58 | (3) |
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3 Nonmatching and Sample Selection |
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61 | (36) |
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61 | (8) |
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3.1.1 Weighting Estimator for Effect on Population |
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61 | (2) |
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3.1.2 Other Weighting Estimators and Remarks |
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63 | (2) |
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3.1.3 Asymptotic Distribution of Weighting Estimators* |
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65 | (1) |
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3.1.4 Job Training Effect on Unemployment |
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66 | (1) |
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3.1.5 Doubly Robust Estimator* |
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67 | (1) |
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3.1.6 Weighting for Missing Data* |
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68 | (1) |
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3.2 Regression Imputation |
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69 | (7) |
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3.2.1 Linear Regression Imputation |
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70 | (1) |
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3.2.2 Regression Imputation with Propensity Score |
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71 | (1) |
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3.2.3 Regression Imputation for Multiple Treatment |
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72 | (1) |
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3.2.4 Regression Imputation for Continuous Treatment* |
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73 | (1) |
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3.2.5 Military Service Effect on Wage |
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74 | (2) |
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3.3 Complete Pairing with Double Sum |
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76 | (8) |
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3.3.1 Discrete Covariates |
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77 | (2) |
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3.3.2 Continuous Covariates |
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79 | (1) |
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3.3.3 Nonparametric Distributional Effect Tests* |
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80 | (4) |
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3.4 Treatment Effects under Sample Selection |
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84 | (6) |
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3.4.1 Difficulties with Sample Selection Models |
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85 | (1) |
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3.4.2 Participation, Invisible, and Visible Effects |
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86 | (1) |
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3.4.3 Identification of Three Effects with Mean Differences |
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87 | (1) |
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3.4.4 Religiosity Effect on Affairs |
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88 | (2) |
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3.5 Effect Decomposition in Sample Selection Models* |
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90 | (7) |
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3.5.1 Motivation for Decomposition |
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90 | (1) |
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3.5.2 Decomposition with Linear Selection Model |
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91 | (1) |
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3.5.3 Four Special Models |
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92 | (2) |
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3.5.4 Race Effect on Wage |
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94 | (3) |
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4 Regression Discontinuity |
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97 | (34) |
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4.1 Introducing RD with Before-After |
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97 | (3) |
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97 | (1) |
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4.1.2 BA Identification Assumption |
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98 | (1) |
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99 | (1) |
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4.2 RD Identification and Features |
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100 | (9) |
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4.2.1 Sharp RD (SRD) and Fuzzy RD (FRD) |
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101 | (1) |
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4.2.2 Identification at Cutoff |
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102 | (2) |
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104 | (2) |
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4.2.4 Class Size Effect on Test Score |
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106 | (3) |
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109 | (7) |
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4.3.1 LSE for Level Equation |
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109 | (1) |
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4.3.2 IVE for Right-Left Differenced Equation |
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110 | (2) |
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4.3.3 Bandwidth Choice and Remarks |
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112 | (1) |
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4.3.4 High School Completion Effect on Fertility |
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113 | (3) |
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116 | (3) |
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4.4.1 Breaks in Conditional Means |
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116 | (1) |
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4.4.2 Continuity in Score Density |
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117 | (2) |
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119 | (12) |
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119 | (1) |
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4.5.2 RD for Limited Dependent Variables |
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120 | (1) |
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4.5.3 Measurement Error in Score |
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121 | (2) |
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4.5.4 Regression Kink (RK) and Generalization |
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123 | (3) |
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4.5.5 SRD with Multiple Scores |
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126 | (3) |
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129 | (2) |
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5 Difference in Differences |
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131 | (34) |
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131 | (5) |
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132 | (1) |
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5.1.2 Time-Constant and Time-Varying Qualifications |
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133 | (2) |
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5.1.3 Data Requirement and Notation |
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135 | (1) |
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5.2 DD with Repeated Cross-Sections |
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136 | (14) |
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136 | (4) |
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5.2.2 Identification with Parametric Models |
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140 | (2) |
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5.2.3 Schooling Effect on Fertility: 'Fuzzy DD |
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142 | (2) |
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5.2.4 Linear Model Estimation for Two Periods or More |
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144 | (3) |
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5.2.5 Earned Income Tax Credit Effect on Work |
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147 | (1) |
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5.2.6 Time-Varying Qualification* |
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148 | (2) |
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150 | (8) |
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150 | (2) |
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5.3.2 Identification and Estimation with Parametric Models |
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152 | (5) |
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5.3.3 Daylight Saving Time Effect on Energy |
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157 | (1) |
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5.4 Panel Stayer DD for Time-Varying Qualification |
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158 | (7) |
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158 | (1) |
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5.4.2 Effect on In- Stayers Identified by Stayer DD |
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159 | (1) |
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5.4.3 Identification and Estimation with Panel Linear Models |
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160 | (2) |
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5.4.4 Pension Effect on Health Expenditure |
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162 | (3) |
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6 Triple Difference and Beyond |
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165 | (44) |
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165 | (1) |
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6.2 TD with Repeated Cross-Sections |
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166 | (8) |
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166 | (3) |
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6.2.2 Identification and Estimation with Linear Models |
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169 | (3) |
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6.2.3 Mandated Benefit Effect on Wage |
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172 | (2) |
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174 | (4) |
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174 | (1) |
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6.3.2 Estimation with Panel Linear Model |
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175 | (2) |
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6.3.3 Tax-Inclusive Price Effect on Demand |
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177 | (1) |
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178 | (9) |
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6.4.1 Motivation for GDD and Beyond |
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179 | (1) |
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6.4.2 Identification for GDD and QD |
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180 | (1) |
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6.4.3 Identified Effects When Panel Linear Model Holds |
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181 | (1) |
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6.4.4 LSE for DD and GDD and Testing for DD Condition |
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182 | (2) |
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6.4.5 Sulfa Drug Effect on Mortality: Is DD Trustworthy? |
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184 | (3) |
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6.5 Clustering Problems and Inference for DD and TD |
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187 | (22) |
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188 | (6) |
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6.5.2 Clustering in Panel Data |
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194 | (5) |
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6.5.3 DD and TD with Cluster- Specific Treatment |
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199 | (3) |
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6.5.4 Details on Cluster Variance Estimator* |
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202 | (7) |
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209 | (32) |
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A.1 Kernel Density and Regression Estimators |
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209 | (4) |
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A.1.1 Histogram-Type Density Estimator |
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209 | (1) |
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A.1.2 Kernel Density Estimator |
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210 | (1) |
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A.1.3 Kernel Regression Estimator |
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211 | (2) |
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A.1.4 Local Linear Regression |
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213 | (1) |
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213 | (7) |
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A.2.1 Review on Usual Asymptotic Inference |
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215 | (1) |
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A.2.2 Bootstrap to Find Quantiles |
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216 | (2) |
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A.2.3 Percentile-t and Percentile Methods |
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218 | (1) |
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A.2.4 Nonparametric, Parametric, and Wild Bootstraps |
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219 | (1) |
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A.3 Confounder Detection, IVE, and Selection Correction |
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220 | (12) |
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220 | (5) |
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A.3.2 WE and Complier Effect |
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225 | (5) |
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A.3.3 Selection Correction Approach |
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230 | (2) |
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A.4 Supplements for DD Chapter |
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232 | (9) |
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A.4.1 Nonparametric Estimators for Repeated Cross-Section DD |
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233 | (1) |
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A.4.2 Nonparametric Estimation for DD with Two-Wave Panel Data |
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233 | (3) |
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A.4.3 Panel Linear Model Estimation for DD with One-Shot Treatment |
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236 | (2) |
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238 | (3) |
References |
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241 | (12) |
Index |
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253 | |