6. Concluding remarks
In this paper, we propose a Weibull mixture model with individual covariates and unobserved heterogeneity in order to examine the effects of demographic variables on individual survival times, and to predict theannual number of cancer deaths by adopting a bottom-up strategy. A comparison of our results with those from the four benchmarks – the damped trend exponential smoothing method, the joinpoint regression model, a Bayesian state space model, and PIAMOD – reveals that our proposed model performs best for predicting annual numbers of cancer deaths. Furthermore, by segmenting the patients based on age, sex, and race, we are able to specify the differences between groups, and assess the group-specific survival probabilities within a given period. Our results show that older, female, and white patients survive significantly longer than younger, male, and black patients, respectively. Also, patients diagnosed in recent years survive significantly longer than those diagnosed a long time ago.