- Preface
- Introduction
- The Reflection Problem
- The Law of Decreasing Credibility
- Identification and Statistical Inference
- Prediction and Decisions
- Coping with Ambiguity
- Organization of the Book
- The Developing Literature on Partial Identification
- I. Prediction with Incomplete Data
- 1. Conditional Prediction
- 1.1. Predicting Criminality
- 1.2. Probabilistic Prediction
- Conditional Distributions
- Best Predictors
- Specifying a Loss Function
- 1.3. Estimation of Best Predictors from Random Samples
- Covariates with Positive Probability
- Covariates with Zero Probability but on the Support
- Covariates off the Support
- 1.4. Extrapolation
- Invariance Assumptions and Shape Restrictions
- Testing and Using Theories
- 1.5. Predicting High School Graduation
- Complement 1A. Best Predictors under Square and Absolute Loss
- Square Loss
- Absolute Loss
- Complement 1B. Nonparametric Regression Analysis
- Consistency of the Local-Average Estimate
- Choosing an Estimate
- Complement 1C. Word Problems
- 2. Missing Outcomes
- 2.1. Anatomy of the Problem
- Identification of Event Probabilities
- Identification of Quantiles
- 2.2. Bounding the Probability of Exiting Homelessness
- Is the Cup Part Empty or Part Full?
- 2.3. Means of Functions of the Outcome
- Bounded Random Variables
- Unbounded Random Variables
- 2.4. Parameters That Respect Stochastic Dominance
- 2.5. Distributional Assumptions
- Missingness at Random
- Refutable and Non-refutable Assumptions
- Refutability and Credibility
- 2.6. Wage Regressions and the Reservation-Wage Model of Labor Supply
- Homogeneous Reservation Wages
- Other Cases of Missingness by Choice
- 2.7. Statistical Inference
- Sample Analogs of Identification Regions
- Confidence Sets
- Testing Refutable Assumptions
- Complement 2A. Interval Measurement of Outcomes
- Measurement Devices with Bounded Range
- Complement 2B. Jointly Missing Outcomes and Covariates
- Conditioning on a Subset of the Outcomes
- Illustration: Bounding the Probability of Employment and the Unemployment Rate
- Complement 2C. Convergence of Sets to Sets
- 2.1. Anatomy of the Problem
- 3. Instrumental Variables
- 3.1. Distributional Assumptions and Credible Inference
- Assumptions using Instrumental Variables
- 3.2. Missingness at Random
- Conditioning Is Not Controlling
- 3.3. Statistical Independence
- Binary Outcomes
- Identifying Power
- Combining Multiple Surveys
- 3.4. Equality of Means
- Means Missing at Random
- Mean Independence
- 3.5. Inequality of Means
- Means Missing Monotonically
- Monotone Regressions
- Complement 3A. Imputations and Nonresponse Weights
- Imputations
- Nonresponse Weights
- Complement 3B. Conditioning on the Propensity Score
- Complement 3C. Word Problems
- 3.1. Distributional Assumptions and Credible Inference
- 4. Parametric Prediction
- 4.1. The Normal-Linear Model of Market and Reservation Wages
- 4.2. Selection Models
- A Semiparametric Model
- 4.3. Parametric Models for Best Predictors
- Identification of the Parameters and the Best Predictor
- Linear-Index Models
- Statistical Inference
- Complement 4A. Minimum-Distance Estimation of Partially Identified Models
- 5. Decomposition of Mixtures
- 5.1. The Inferential Problem and Some Manifestations
- The Problem in Abstraction
- Ecological Inference
- Contaminated Sampling
- The Task Ahead
- 5.2. Binary Mixing Covariates
- Inference on One Component Distribution
- Event Probabilities
- Parameters That Respect Stochastic Dominance
- 5.3. Contamination through Imputation
- Income Distribution in the United States
- Corrupted Sampling
- 5.4. Instrumental Variables
- The Identification Region
- Complement 5A. Sharp Bounds on Parameters That Respect Stochastic Dominance
- 5.1. The Inferential Problem and Some Manifestations
- 6. Response-Based Sampling
- 6.1. The Odds Ratio and Public Health
- Relative and Attributable Risk
- The Rare-Disease Assumption
- 6.2. Bounds on Relative and Attributable Risk
- Relative Risk
- Attributable Risk
- 6.3. Information on Marginal Distributions
- 6.4. Sampling from One Response Stratum
- Using Administrative Records to Infer AFDC Transition Rates
- 6.5. General Binary Stratifications
- Sampling from Both Strata
- Sampling from One Stratum
- 6.1. The Odds Ratio and Public Health
- 1. Conditional Prediction
- II. Analysis of Treatment Response
- 7. The Selection Problem
- 7.1. Anatomy of the Problem
- Prediction using the Empirical Evidence Alone
- Comparing Treatments
- Average Treatment Effects
- Distributional Assumptions
- 7.2. Sentencing and Recidivism
- 7.3. Randomized Experiments
- Experiments in Practice
- 7.4. Compliance with Treatment Assignment
- Experiments without Crossover
- Experiments with Crossover
- Point Identification with Partial Compliance
- Intention to Treat
- The Effect of Treatment on Compliers
- 7.5. Treatment by Choice
- Outcome Optimization
- Parametric Selection Models
- 7.6. Treatment at Random in Non-Experimental Settings
- Association and Causation
- Sensitivity Analysis
- 7.7. Homogeneous Linear Response
- “The” Instrumental Variables Estimator
- Mean Independence and Overidentification
- Complement 7A. Perspectives on Treatment Comparison
- Differences in Outcome Distributions or Distributions of Outcome Differences
- The Population To Be Treated or the Subpopulation of the Treated
- Complement 7B. Word Problems
- 7.1. Anatomy of the Problem
- 8. Linear Simultaneous Equations
- 8.1. Simultaneity in Competitive Markets
- “The” Identification Problem in Econometrics
- Simultaneity Is Selection
- 8.2. The Linear Market Model
- Credibility of the Assumptions
- Analysis of the Reduced Form
- 8.3. Equilibrium in Games
- Ehrlich, the Supreme Court, and the National Research Council
- 8.4. The Reflection Problem
- Endogenous, Contextual, and Correlated Effects
- The Linear-in-Means Model
- Identification of the Parameters
- Inferring the Composition of Reference Groups
- 8.1. Simultaneity in Competitive Markets
- 9. Monotone Treatment Response
- 9.1. Shape Restrictions
- Downward-Sloping Demand
- Production Analysis
- 9.2. Bounds on Parameters That Respect Stochastic Dominance
- The General Result
- Means of Increasing Functions of the Outcome
- Upper Tail Probabilities
- 9.3. Bounds on Treatment Effects
- Average Treatment Effects
- 9.4. Monotone Response and Selection
- Interpreting the Statement “Wage Increases with Schooling”
- Bounds on Mean Outcomes and Average Treatment Effects
- 9.5. Bounding the Returns to Schooling
- Data
- Statistical Considerations
- Findings
- 9.1. Shape Restrictions
- 10. The Mixing Problem
- 10.1. Extrapolation from Experiments to Rules with Treatment Variation
- From Marginals to Mixtures
- 10.2. Extrapolation from the Perry Preschool Experiment
- Prediction with the Experimental Evidence Alone
- Prediction with Assumptions
- 10.3. Identification of Event Probabilities with the Experimental Evidence Alone
- 10.4. Treatment Response Assumptions
- Statistically Independent Outcomes
- Monotone Treatment Response
- 10.5. Treatment Rule Assumptions
- Treatment at Random
- Outcome Optimization
- Known Treatment Shares
- 10.6. Combining Assumptions
- 10.1. Extrapolation from Experiments to Rules with Treatment Variation
- 11. Planning under Ambiguity
- 11.1. Studying Treatment Response to Inform Treatment Choice
- Partial Identification and Ambiguity
- 11.2. Criteria for Choice under Ambiguity
- Dominance
- Bayes Rules
- The Maximin Criterion
- The Minimax-Regret Criterion
- 11.3. Treatment using Data from an Experiment with Partial Compliance
- The Illinois UI Experiment
- 11.4. An Additive Planning Problem
- The Choice Set
- The Objective Function and the Optimal Treatment Rule
- The Value of Covariate Information
- Non-Separable Planning Problems
- 11.5. Planning with Partial Knowledge of Treatment Response
- The Study Population and the Treatment Population
- Planning under Ambiguity
- 11.6. Planning and the Selection Problem
- Bayes Rules
- The Maximin Criterion
- The Minimax-Regret Rule
- Sentencing Juvenile Offenders
- 11.7. The Ethics of Fractional Treatment Rules
- Choosing Treatments for X-Pox
- 11.8. Decentralized Treatment Choice
- The Informational Argument for Decentralization
- Decentralized Treatment of X-Pox
- Complement 11A. Minimax-Regret Rules for Two Treatments Are Fractional
- Complement 11B. Reporting Observable Variation in Treatment Response
- Complement 11C. Word Problems
- 11.1. Studying Treatment Response to Inform Treatment Choice
- 12. Planning with Sample Data
- 12.1. Statistical Induction
- 12.2. Wald’s Development of Statistical Decision Theory
- The Expected Welfare of a Statistical Treatment Rule
- The States of Nature
- Admissibility
- Implementable Criteria for Treatment Choice
- Unification of Identification, Statistical Inference, and Sample Design
- 12.3. Using a Randomized Experiment to Evaluate an Innovation
- The Setting
- The Admissible Treatment Rules
- Some Monotone Rules
- Savage on the Maximin and Minimax-Regret Criteria
- 7. The Selection Problem
- III. Predicting Choice Behavior
- 13. Revealed Preference Analysis
- 13.1. Revealing the Preferences of an Individual
- Observation of One Choice Setting
- Observation of Multiple Choice Settings
- Application to General Choice Problems
- Thought Experiment or Practical Prescription for Prediction?
- 13.2. Random Utility Models of Population Choice Behavior
- Consistency with Utility Theory
- Prediction using Attributes of Alternatives and Decision Makers
- Incomplete Data and Conditional Choice Probabilities
- Practicality through the Conditional Logit Model
- Other Distributional Assumptions
- Extrapolation
- 13.3. College Choice in America
- An Idealized Binary Choice Setting
- Predicting the Enrollment Effects of Student Aid Policy
- Power and Price of the Analysis
- 13.4. Random Expected-Utility Models
- Identification of the Decision Rules of Proposers in Ultimatum Games
- Rational Expectations Assumptions
- How do Youth Infer the Returns to Schooling?
- Complement 13A. Prediction Assuming Strict Preferences
- Complement 13B. Axiomatic Decision Theory
- 13.1. Revealing the Preferences of an Individual
- 14. Measuring Expectations
- 14.1. Elicitation of Expectations from Survey Respondents
- Attitudinal Research
- Probabilistic Expectations in Cognitive Psychology
- Probabilistic Expectations in Economics
- 14.2. Illustrative Findings
- Response Rates and Use of the Percent-Chance Scale
- One-Year-Ahead Income Expectations
- Social Security Expectations
- 14.3. Using Expectations Data to Predict Choice Behavior
- Choice Expectations
- Using Expectations and Choice Data to Estimate Random Expected-Utility Models
- 14.4. Measuring Ambiguity
- Complement 14A. The Predictive Power of Intentions Data: A Best-Case Analysis
- Rational Expectations Responses to Intentions Questions
- Prediction of Behavior Conditional on Intentions
- Prediction Not Conditioning on Intentions
- Interpreting Fertility Intentions
- Complement 14B. Measuring Expectations of Facts
- Anchoring
- 14.1. Elicitation of Expectations from Survey Respondents
- 15. Studying Human Decision Processes
- 15.1. As-If Rationality and Bounded Rationality
- The As-If Argument of Friedman and Savage
- Simon and Bounded Rationality
- 15.2. Choice Experiments
- Heuristics and Biases
- Widespread Irrationality or Occasional Cognitive Illusions?
- 15.3. Prospects for a Neuroscientific Synthesis
- 15.1. As-If Rationality and Bounded Rationality
- 13. Revealed Preference Analysis
- References
- Author Index
- Subject Index


Identification for Prediction and Decision
Product Details
HARDCOVER
$86.00 • £74.95 • €78.95
ISBN 9780674026537
Publication Date: 01/31/2008
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