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Title page 1
Contents 1
Abstract 3
1. Introduction 4
2. Framework 7
2.1. Basic econometric model 7
2.2. Conceptual model of examiner decision-making 9
3. Estimation 11
3.1. Two-stage least squares 11
3.2. The case for JIVE 13
3.3. Covariates 14
4. Inference 15
4.1. Clustering 16
4.2. Inference and weak identification 16
5. Extensions to the basic framework 20
5.1. Heterogeneous treatment effects 20
5.2. Heterogeneous treatment effects and heterogeneous rankings 22
5.3. Marginal treatment effects 24
5.4. Multi-valued treatments 27
6. Specification testing 30
7. Case study: Effects of pre-trial detention 33
8. Concluding remarks 39
References 50
Online Appendix 54
A. Examples with monotonicity violations 59
B. Detailed discussion of multiple treatments frameworks 61
References 67
Tables 41
Table 1. Pre-trial Detention Case Study: Defendant-level Summary Statistics 41
Table 2. Assessing Balance 42
Table 3. First Stage Analysis for Pre-trial Release 43
Table 4. Second Stage Analysis for Pre-trial Release 44
Table 5. Robustness to Varying Sample Restriction 45
Figures 46
Figure 1. Weak Instrument Simulation Exercise: IV Rejection Rate, Nominal 5-percent Test 46
Figure 2. Marginal Treatment Effects Illustration 47
Figure 3. Distribution of Judge Leniency Measure 48
Figure 4. Illustration of Test of Pairwise Monotonicity and Strict Exclusion 49
Appendix Tables 55
Appendix Table A.1. Applications of Examiner Researcher Designs in Economics 55
Appendix Table A.2. Pairwise Monotonicity is Violated and Average Monotonicity Holds 60
Appendix Table A.3. Both Pairwise Monotonicity and Average Monotonicity Violated 60
Appendix Table A.4. Response types allowed under ACM, NC, and UPM Assumptions 65
Appendix Figures 66
Appendix Figure A.1. Six Potential Treatment Response Types and Treatment Assignment 66
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