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NON-PROPORTIONAL HAZARDS WITH APPLICATION TO KIDNEY TRANSPLANT DATA
Author(s) -
Emel Başar
Publication year - 1999
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000196
Subject(s) - proportional hazards model , covariate , statistics , parametric statistics , hazard ratio , hazard , regression analysis , regression , linear regression , parametric model , econometrics , mathematics , biology , ecology , confidence interval
The Cox proportional hazards (PH) model is the popular methodfor modelling censored survival data.Cox PH model is the proportionality of hazards in which the hazard ratiois linear in the covariates. However this assumption may not hold in somesurvival studies. Therefore, digerent non-parametric regression methods havebeen proposed to estimate the hazard ratio as a function of time when theproportionality of hazards can not be assumed.In this study a piecewisemodel and a non-parametric regression spline model have been considered forthe non-proportional hazards. The models have been illustrated with kidneytransplant data

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