Cover
Title Page
Copyright
Dedication
Contents
Preface
The Reflection Problem
The Law of Decreasing Credibility
Identification and Statistical Inference
Coping with Ambiguity
Organization of the Book
The Developing Literature on Partial Identification
1.1 Predicting Criminality
1.2 Probabilistic Prediction
1.3 Estimation of Best Predictors from Random
Samples&
1.4 Extrapolation
1.5 Predicting High School Graduation
Complement 1A. Best Predictors under Square and Absolute
Loss&
Complement 1B. Nonparametric Regression Analysis
Complement 1C. Word Problems
2. Missing Outcomes
2.1 Anatomy of the Problem
2.2 Bounding the Probability of Exiting Homelessness
2.3 Means of Functions of the Outcome
2.4 Parameters That Respect Stochastic Dominance
2.5 Distributional Assumptions
2.6 Wage Regressions and the Reservation-Wage Model of
Labor Supply
2.7 Statistical Inference
Complement 2A. Interval Measurement of Outcomes
Complement 2B. Jointly Missing Outcomes and
Covariates
Complement 2C. Convergence of Sets to Sets
3.1 Distributional Assumptions and Credible Inference
3.2 Missingness at Random
3.3 Statistical Independence
3.4 Equality of Means
3.5 Inequality of Means
Complement 3A. Imputations and Nonresponse Weights&
Complement 3B. Conditioning on the Propensity Score
Complement 3C. Word Problems
4.1 The Normal-Linear Model of Market and
Reservation Wages
4.2 Selection Models
4.3 Parametric Models for Best Predictors
Complement 4A. Minimum-Distance Estimation of Partially
Identified Models&
5.1 The Inferential Problem and Some Manifestations
5.2 Binary Mixing Covariates
5.3 Contamination through Imputation
5.4 Instrumental Variables
Complement 5A. Sharp Bounds on Parameters That Respect
Stochastic Dominance
6. Response-Based Sampling
6.1 The Odds Ratio and Public Health
6.2 Bounds on Relative and Attributable Risk
6.3 Information on Marginal Distributions
6.4 Sampling from One Response Stratum
6.5 General Binary Stratifications
II Analysis of Treatment Response
7. The Selection Problem
7.1 Anatomy of the Problem
7.2 Sentencing and Recidivism
7.3 Randomized Experiments
7.4 Compliance with Treatment Assignment
7.5 Treatment by Choice
7.6 Treatment at Random in Nonexperimental Settings
7.7 Homogeneous Linear Response
Complement 7A. Perspectives on Treatment Comparison
Complement 7B. Word Problems
8.1 Simultaneity in Competitive Markets
8.2 The Linear Market Model
8.3 Equilibrium in Games
8.4 The Reflection Problem
9.1 Shape Restrictions
9.2 Bounds on Parameters That Respect Stochastic
Dominance
9.3 Bounds on Treatment Effects
9.4 Monotone Response and Selection
9.5 Bounding the Returns to Schooling
10.1 Extrapolation from Experiments to Rules with Treatment
Variation&
10.2 Extrapolation from the Perry Preschool Experiment&
10.3 Identification of Event Probabilities with the Experimental
Evidence Alone
10.4 Treatment Response Assumptions
10.5 Treatment Rule Assumptions
10.6 Combining Assumptions
11.1 Studying Treatment Response to Inform Treatment
Choice
11.2 Criteria for Choice under Ambiguity
11.3 Treatment Using Data from an Experiment with Partial
Compliance
11.4 An Additive Planning Problem
11.5 Planning with Partial Knowledge of Treatment
Response
11.6 Planning and the Selection Problem
11.7 The Ethics of Fractional Treatment Rules
11.8 Decentralized Treatment Choice
Complement 11A. Minimax-Regret Rules for Two Treatments
Are Fractional
Complement 11B. Reporting Observable Variation in Treatment
Response
Complement 11C. Word Problems
12.1 Statistical Induction
12.2 Wald’sDevelopment of Statistical Decision Theory
12.3 Using a Randomized Experiment to Evaluate an
Innovation
III. Predicting Choice Behavior
13. Revealed Preference Analysis
13.1 Revealing the Preferences of an Individual
13.2 Random Utility Models of Population Choice
Behavior
13.3 College Choice in America
13.4 Random Expected-Utility Models
Complement 13A. Prediction Assuming Strict
Preferences
Complement 13B. Axiomatic Decision Theory
14. Measuring Expectations
14.1 Elicitation of Expectations from Survey
Respondents
14.2 Illustrative Findings
14.3 Using Expectations Data to Predict Choice
Behavior
14.4 Measuring Ambiguity
Complement 14A. The Predictive Power of Intentions Data: A
Best-Case Analysis&
Complement 14B. Measuring Expectations of Facts
15. Studying Human Decision Processes
15.1 As-If Rationality and Bounded Rationality&
15.2 Choice Experiments
15.3 Prospects for a Neuroscientific Synthesis&
References
Author Index
Subject Index