Residual Analysis for Poisson-Exponentiated Weibull Regression Models with Cure Fraction

The use of cure-rate survival models has grown in recent years. Even so, proposals to perform the goodness of fit of these models have not been so frequent. However, residual analysis can be used to check the adequacy of a fitted regression model. In this context, we provide Cox–Snell residuals for...

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Bibliographic Details
Published inStats (Basel, Switzerland) Vol. 7; no. 2; pp. 492 - 508
Main Authors Fidelis, Cleanderson R., Ortega, Edwin M. M., Cordeiro, Gauss M.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2024
Subjects
Breast cancer
cure rate
diagnostics
Melanoma
Random variables
residuals
Survival analysis
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Summary:The use of cure-rate survival models has grown in recent years. Even so, proposals to perform the goodness of fit of these models have not been so frequent. However, residual analysis can be used to check the adequacy of a fitted regression model. In this context, we provide Cox–Snell residuals for Poisson-exponentiated Weibull regression with cure fraction. We developed several simulations under different scenarios for studying the distributions of these residuals. They were applied to a melanoma dataset for illustrative purposes.
ISSN:2571-905X
2571-905X
DOI:10.3390/stats7020030