A Solution to the Ecological Inference Problem

List of Figures 1 Qualitative Overview 2 Formal Statement of the Problem Pt. II Catalog of Problems to Fix 3 Aggregation Problems 4 Non-Aggregation Problems Pt. III The Proposed Solution 5 The Data: Generalizing the Method of Bounds 6 The Model 7 Preliminary Estimation 8 Calculating Quantities of Interest 9 Model Extensions Pt. IV Verification 10 A Typical Application Described in Detail: Voter Registration by Race 11 Robustness to Aggregation Bias: Poverty Status by Sex 12 Estimation without Information: Black Registration in Kentucky 13 Classic Ecological Inferences Pt. V Generalizations and Concluding Suggestions 14 Non-Ecological Aggregation Problems 15 Ecological Inference in Larger Tables 16 A Concluding Checklist App. A Proof That All Discrepancies Are Equivalent App. B Parameter Bounds App. C Conditional Posterior Distribution App. D The Likelihood Function App. E The Details of Nonparametric Estimation App. F Computational Issues Glossary of Symbols References Index