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Survival extrapolation incorporating general-population mortality using excess-hazard and cure models (Sweeting et al. tutorial)

Methodpeer-reviewed✓ Source-grounded

This method helps predict long-term survival in health economic models by combining patient data with general population mortality rates. It uses 'excess hazard' models to separate disease-specific risks from background risks, and can include a 'cure' component where some patients may no longer face elevated disease risk. This reduces uncertainty when projecting survival over long periods, especially in diseases like cancer.

At a glance

Use when

Projecting long-term survival in cost-effectiveness models, especially in oncology or chronic diseases where cure or diminishing hazard over time is plausible; when standard parametric models show high discordance

Avoid when

In diseases with strong interaction between disease risk and background mortality; when population mortality data are unavailable or not representative; when no plausible biological basis for cure exists

Inputs

Individual patient survival data, general population mortality rates (e.g., lifetables), disease-specific covariates, and optional cure fraction assumption

Outputs

Long-term survival extrapolations, restricted mean survival time (RMST), cure fraction estimates, goodness-of-fit statistics (e.g., AIC), and comparative survival curves

How it works

The method applies excess hazard (EH) models, which decompose all-cause hazard into population background mortality and disease-specific excess hazard. EH models are fitted with and without a cure parameter, allowing for the possibility that a proportion of patients may be cured. Parametric models are compared using Akaike information criterion (AIC), restricted mean survival time (RMST), and long-term survival extrapolations up to 30 years. The approach leverages general population lifetables to anchor extrapolations and reduce model uncertainty. Sensitivity to lifetable misspecification is also evaluated.

HTA domains
Clinical Effectiveness, Costs & Economic Evaluation
Assumptions
Disease-specific hazard is independent of background mortality; population lifetables are representative of the study cohort; cure, if modeled, follows a mixture or relative survival framework; proportional excess hazards may be assumed depending on model
Strengths
Reduces extrapolation uncertainty by anchoring to population mortality; improves plausibility of long-term survival projections; particularly useful in cancer settings where cure is possible; robust to moderate lifetable misspecification
Limitations
Requires reliable population mortality data; assumes independence between disease and background mortality; cure models may be overly simplistic if the biological cure assumption does not hold; limited external validation in diverse disease areas
Also known as
Excess Hazard Model with Cure, EH Cure Model, General Population Mortality-Adjusted Survival Extrapolation

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