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Abstract
Background
Cure
models can provide improved possibilities for inference if used
appropriately, but there is potential for misleading results if care is
not taken. In this study, we compared five commonly used approaches for
modelling cure in a relative survival framework and provide some
practical advice on the use of these approaches.
Patients and methods
Data
for colon, female breast, and ovarian cancers were used to illustrate
these approaches. The proportion cured was estimated for each of these
three cancers within each of three age groups. We then graphically
assessed the assumption of cure and the model fit, by comparing the
predicted relative survival from the cure models to empirical life table
estimates.
Results
Where both
cure and distributional assumptions are appropriate (e.g., for colon or
ovarian cancer patients aged <75 years), all five approaches led to
similar estimates of the proportion cured. The estimates varied slightly
when cure was a reasonable assumption but the distributional assumption
was not (e.g., for colon cancer patients ≥75 years). Greater
variability in the estimates was observed when the cure assumption was
not supported by the data (breast cancer).
Conclusions
If
the data suggest cure is not a reasonable assumption then we advise
against fitting cure models. In the scenarios where cure was reasonable,
we found that flexible parametric cure models performed at least as
well, or better, than the other modelling approaches. We recommend that,
regardless of the model used, the underlying assumptions for cure and
model fit should always be graphically assessed.
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