Premium
Modelling survival data with a cured fraction using frailty models
Author(s) -
Price Dionne L.,
Manatunga Amita K.
Publication year - 2001
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.687
Subject(s) - allowance (engineering) , poisson distribution , fraction (chemistry) , statistics , event (particle physics) , computer science , survival analysis , feature (linguistics) , econometrics , medicine , mathematics , engineering , operations management , linguistics , chemistry , physics , organic chemistry , philosophy , quantum mechanics
Cure models have historically been utilized to analyse time‐to‐event data with a cured fraction. We consider the use of frailty models as an alternative approach to modelling such data. An attractive feature of the models is the allowance for heterogeneity in risk among those individuals experiencing the event of interest in addition to the incorporation of a cured component. Utilizing maximum likelihood techniques, we fit models to data concerning the recurrence of leukaemia among patients receiving autologous transplantation treatment. The analysis suggests that the gamma frailty mixture model and the compound Poisson improve on the fit of the leukaemia data as compared to the standard cure model. Copyright © 2001 John Wiley & Sons, Ltd.