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Assessment of stratum‐covariate interactions in Cox's proportional hazards regression model
Author(s) -
Thall Peter F.,
Lachin John M.
Publication year - 1986
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.4780050110
Subject(s) - covariate , proportional hazards model , stratum , statistics , econometrics , regression analysis , regression , mathematics , biology , paleontology
We assess stratum (e.g. treatment) interactions with covariates and with the baseline hazard function in the proportional hazards (PH) regression model for lifetime data. We consider models incorporating stratum interactions both with and without stratification of the risk sets in the likelihood function, and describe likelihood ratio statistics for tests of the presence of these interactions. We also present step‐down methods for building reduced models which include stratum‐specific parameters corresponding to covariates which interact with treatment. We apply PH models with such interactions to a clinical trial of DES in the treatment of prostate cancer to determine optimal treatment conditional on each patient's covariates.