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Estimating the proportion cured of cancer: Some practical advice for users
Authors:XQ Yu  R De Angelis  TML Andersson  PC Lambert  DL O’Connell  PW Dickman
Institution:1. Cancer Council New South Wales, Sydney, Australia;2. Sydney School of Public Health, Sydney, Australia;3. National Centre of Epidemiology, Italian National Institute of Health, Rome, Italy;4. Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, Stockholm, Sweden;5. University of Leicester, Department of Health Sciences, Leicester, UK;6. School of Medicine and Public Health, University of Newcastle, Newcastle, Australia;7. School of Public Health and Community Medicine, University of New South Wales, Sydney, Australia
Abstract:BackgroundCure 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 methodsData 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.ResultsWhere 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).ConclusionsIf 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.
Keywords:Statistical cure  Cure models  Relative survival  Population-based
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