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Cost-Utility Analysis: QALYs and DALYs

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Cost-Effectiveness AnalysisCost-Effectiveness Analysis in Policy Research→→Burden of Disease MeasurementCost-Benefit Analysis in Health+2 more
CUA QALY DALY utility health-state-valuation EQ-5D

Core Idea

Cost-utility analysis (CUA) is a specialized form of cost-effectiveness analysis that measures health outcomes in quality-adjusted life-years (QALYs), combining length of life and quality of life into a single metric. One QALY equals one year lived in perfect health; a year lived with a disability or chronic condition is weighted by a utility value between 0 (death) and 1 (perfect health). QALYs enable comparison across diseases and interventions — a cancer drug that extends life by 2 years at utility 0.6 produces 1.2 QALYs, comparable to a joint replacement that improves quality from 0.5 to 0.9 for 3 years (1.2 QALYs). DALYs (disability-adjusted life-years) invert the metric: they measure years of healthy life lost to disease. Both metrics operationalize the intuition that extending a miserable life is worth less than extending a good one, enabling resource allocation that accounts for quality, not just quantity.

Explainer

Standard cost-effectiveness analysis can compare interventions for the same disease (two blood pressure drugs measured in mmHg reduction), but it cannot compare across diseases — how do you weigh a mmHg of blood pressure against a percentage of cancer recurrence? QALYs solve this by creating a common currency for health outcomes that combines quantity and quality of life into a single number.

The QALY is calculated by multiplying time in a health state by the utility weight of that state. Utility weights range from 1 (perfect health) to 0 (death), with some states valued below 0 (worse than death — e.g., severe, unremitting pain). A year of perfect health = 1 QALY. A year at utility 0.7 (moderate arthritis) = 0.7 QALYs. Five years at utility 0.5 = 2.5 QALYs. Utilities are measured using standardized instruments: the EQ-5D questionnaire (five dimensions: mobility, self-care, usual activities, pain/discomfort, anxiety/depression, each with 3-5 levels) is the most widely used, with country-specific value sets translating EQ-5D profiles into utility weights.

DALYs approach the same problem from the opposite direction — measuring health lost rather than health gained. One DALY represents one lost year of healthy life. DALYs have two components: Years of Life Lost (YLL) from premature death (comparing actual age at death to a standard life expectancy) and Years Lived with Disability (YLD), weighted by disability severity (ranging from 0 for no disability to 1 for death-equivalent disability). The Global Burden of Disease Study, coordinated by the Institute for Health Metrics and Evaluation, uses DALYs to quantify the health impact of every disease in every country — providing the data foundation for global health priority-setting.

Both metrics have limitations. QALYs assume that a QALY is a QALY regardless of who receives it — one QALY for a 20-year-old is valued the same as one for an 80-year-old, and one QALY for a wealthy person equals one for a poor person. This ignores equity concerns that many societies consider important (some argue QALYs should be weighted by severity or social disadvantage). The utility weights themselves are debatable — they vary by country, elicitation method, and respondent population. And the fundamental assumption that quality and quantity trade off linearly (two years at 0.5 = one year at 1.0) may not match individual preferences. Despite these limitations, QALYs remain the standard outcome measure for health technology assessment worldwide because no better alternative has emerged for cross-disease comparison.

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

Longest path: 102 steps · 607 total prerequisite topics

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