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Causal Inference in Health Economics

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Healthcare Market StructureMoral Hazard in Health Insurance+2 more→
causal-inference RAND-HIE Oregon-experiment difference-in-differences regression-discontinuity instrumental-variables natural-experiments

Core Idea

Health economics relies on causal claims — insurance reduces financial risk, cost-sharing reduces utilization, hospital competition lowers prices — but healthcare markets make causal inference exceptionally difficult because people select into insurance, treatments, and providers based on unobservable characteristics correlated with outcomes. The field has developed a distinctive toolkit of research designs to address this endogeneity. Randomized experiments (the RAND Health Insurance Experiment, the Oregon Medicaid lottery) provide the cleanest evidence but are rare, expensive, and ethically constrained. Quasi-experimental methods exploit natural experiments: difference-in-differences (comparing changes in outcomes before and after a policy change between affected and unaffected groups), regression discontinuity (exploiting eligibility cutoffs where assignment is as-if random), and instrumental variables (using an exogenous source of variation in the endogenous variable). Every major empirical finding in health economics — from the price elasticity of healthcare demand to the effects of insurance expansion — rests on the credibility of a specific causal identification strategy.

Explainer

The central problem of empirical health economics is that you cannot simply compare people with insurance to people without insurance and attribute any health or utilization difference to the effect of insurance. People who have insurance differ from people who do not in ways that independently affect health outcomes — they tend to be employed, higher income, more health-conscious, and less chronically ill. This selection bias contaminates naive observational comparisons, and it pervades every important question in the field: the effect of insurance on health, the effect of competition on hospital quality, the effect of pharmaceutical patents on innovation, the effect of physician supply on costs.

The RAND Health Insurance Experiment (1974-1982) addressed this problem definitively for one key question — the effect of cost-sharing on utilization — by randomly assigning 2,000 families to insurance plans with different coinsurance rates. Random assignment guaranteed that the groups were identical in expectation on all characteristics, observed and unobserved. The result — a price elasticity of demand for healthcare around -0.2, meaning a 10% increase in out-of-pocket price reduces utilization by about 2% — remains the benchmark estimate forty years later. But the RAND experiment cost over $300 million in current dollars and took a decade. Health economists cannot run randomized experiments for most policy questions.

Quasi-experimental methods exploit naturally occurring variation that mimics randomization. Difference-in-differences (DiD) compares the change in outcomes over time between a group affected by a policy and a group not affected. The Medicaid expansion studies exemplify this: states that expanded Medicaid under the ACA (treatment) vs. states that did not (control), comparing outcomes before and after 2014. The identifying assumption is parallel trends — absent the expansion, outcomes would have evolved similarly in both groups. Regression discontinuity (RD) exploits sharp eligibility cutoffs: Medicare eligibility at age 65 creates a discontinuity where 64-year-olds and 65-year-olds are nearly identical in all respects except insurance coverage, allowing credible estimation of the effect of Medicare on utilization, spending, and health outcomes. Instrumental variables (IV) use an exogenous source of variation in the treatment variable — for example, a state-level policy change that affected insurance coverage but plausibly had no direct effect on health.

Each design has its strengths and weaknesses. RCTs provide the highest internal validity but are expensive, often ethically infeasible, and measure effects only for the specific population and setting studied (limited external validity). DiD is flexible and widely applicable but relies on the untestable parallel trends assumption. RD provides highly credible local estimates but only at the cutoff — the effect of Medicare at age 65 may not generalize to the effect of insurance at age 40. IV estimates are only as good as the instrument's validity, and the exclusion restriction (the instrument affects the outcome only through the treatment) is never provable. The credibility of any empirical finding in health economics rests on the credibility of its identification strategy — and the field's methodological sophistication has advanced precisely because the stakes of getting causal claims wrong in health policy are so high.

Practice Questions 3 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Probability Density Functions and Continuous Distributions → Cumulative Distribution Functions → Continuous Random Variables → Probability Density Functions → Expected Value → Weak Law of Large Numbers → Probability Axioms and Rules → Conditional Probability → Conditional Distributions → Bivariate Normal Distribution → Normal Distribution → Standard Normal Distribution and Z-Scores → Hypothesis Testing Fundamentals → Research Methods in Sociology → Advanced Research Design → Cost-Effectiveness Analysis in Policy Research → Cost-Utility Analysis: QALYs and DALYs → Cost-Benefit Analysis in Health → Economic Evaluation Methods in Health → Causal Inference in Health Economics

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