calculates the probability Pi(t) of being cured at a given time t after diagnosis knowing that he/she was alive up to time t from a Time-to-Null excess hazard model using numerical method, uniroot. In other words, Pi(t)=(probability of being cured and alive up to time t given xi)/ (probability of being alive up to time t given xi)
TTC_adtneh2(z_alpha, z_tau, xmax, object, epsilon = epsilon)Covariates matrix acting on parameter alpha of the density of time-to-null excess hazard model
Covariates matrix acting on time-to-null parameter.
time max at which Pi(t) is calculated.
ouput from a non mixture model with distribution "tneh" from curesurv function.
value fixed by user to estimate the TTC \(\text{Pi}(t)\geq (1-\epsilon)\). By default \(\epsilon = 0.05\).
Juste Goungounga, Judith Breaud, Olayide Boussari, Laura Botta, Valerie Jooste
Boussari O, Bordes L, Romain G, Colonna M, Bossard N, Remontet L, Jooste V. Modeling excess hazard with time-to-cure as a parameter. Biometrics. 2021 Dec;77(4):1289-1302. doi: 10.1111/biom.13361. Epub 2020 Sep 12. PMID: 32869288. (pubmed)
Boussari O, Romain G, Remontet L, Bossard N, Mounier M, Bouvier AM, Binquet C, Colonna M, Jooste V. A new approach to estimate time-to-cure from cancer registries data. Cancer Epidemiol. 2018 Apr;53:72-80. doi: 10.1016/j.canep.2018.01.013. Epub 2018 Feb 4. PMID: 29414635. (pubmed)