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curesurv (version 0.1.2)

pt_cure_ic_multneh_loglog: pt_cure_ic_multneh_loglog function

Description

calculates the probability of the probability Pi(t) of being cured at a given time t after diagnosis knowing that he/she was alive up to time t. It also provides the related confidence intervals using log-log method.

Usage

pt_cure_ic_multneh_loglog(
  z_tau = z_tau,
  z_alpha = z_alpha,
  x = x,
  object,
  level = level,
  cumLexctopred = NULL,
  Dpt_cure = NULL
)

Arguments

z_tau

Covariates matrix acting on time-to-null parameter.

z_alpha

Covariates matrix acting on parameter alpha of the density of time-to-null excess hazard model

x

time at which the predictions are provided

object

ouput from a model implemented in curesurv

level

(1-alpha/2)-order quantile of a normal distribution

cumLexctopred

pre prediction obtained from cumLexc_mul_topred, if NULL will be calculated

Dpt_cure

partial derivative of pt_cure according to theta, if NULL will be calculated

Author

Juste Goungounga, Judith Breaud, Olayide Boussari, Laura Botta, Valerie Jooste

References

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)