Cost-Utility Analysis: QALYs and DALYs

Graduate Depth 74 in the knowledge graph I know this Set as goal
Unlocks 7 downstream topics
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

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesLiteral EquationsSlope-Intercept FormPoint-Slope FormWriting Linear EquationsParallel and Perpendicular Line SlopesGraphing Linear EquationsPiecewise FunctionsOne-Sided LimitsContinuity DefinitionLimit Definition of the DerivativePower RuleConstant Multiple and Sum/Difference RulesProduct RuleChain RuleHigher-Order DerivativesConcavity and Inflection PointsSecond Derivative TestCurve SketchingOptimization ProblemsCritical Points of Multivariable FunctionsCritical Points and Classification of ExtremaSecond Partial Test for Local Extrema (Hessian)The Hessian Matrix and Second Derivative TestUnconstrained Optimization: Finding ExtremaOptimization in Multiple VariablesLinear Regression for Social ScienceCost-Effectiveness Analysis in Policy ResearchCost-Utility Analysis: QALYs and DALYs

Longest path: 75 steps · 403 total prerequisite topics

Prerequisites (1)

Leads To (4)