PEMULUSAN B – SPLINE PADA MODEL HAZARD PROPORSIONAL COX; SMOOTHING B – SPLINE IN COX PROPORTIONAL HAZARD MODEL

Kurniawati, Ari, Danardono

2015 | Skripsi | FMIPA UGM

Cox Proportional Hazard Regression assumes that the relative risk has a linear effect on the log – hazard function. But in actual practice, this assumption may be violated. The relative risk form would be better if it follows the existing data. In other words, the relative risk function does not have a particular distribution. Therefore, the relative risk of commonly modeled with parametric, modeled with nonparametric. It aims to obtain the relative risk form a more flexible. Nonparametric modeling offered is spline function with B – Spline basis functions. The method will be applied to the Worcester Heart Attack Study (WHAS) data by Dr. Robert J. Goldberg of Cardiology Department of the University of Massachusetts Medical School. Then, by comparing both models, we will prove that the resulting model is better than Cox models in general.

Kata Kunci : Cox Proportional Hazard Regression; Spline; B – Spline