# Weibull regression in censored survival analysis; A comparison with BUGS
ADMB Files
Code: kidney.tpl Data: kidney.dat Initial values: kidney.pin Expected Results: kidney.par
| ### Model description The collection of examples following WinBUGS (Volume 1, WinBUGS 1.4) contains an application of Cox's proportional hazard model with random effects. A Weibull baseline hazard is used: h0(t) = r*tr-1, r>0. The "kidney data" contain information on time-to-infection for 38 patients, and there are several explanatory variables (see table below). A full description of the model can be found here: kidney.pdf. ### Comparison with BUGS Parameter estimates for the kidney data are shown in the following table.
| b0 | bage | b1 | b2 | b3 | bsex | r | s
ADMB-RE | -4.344 | 0.003 | 0.1208 | 0.6058 | -1.1423 | -1.8767 | 1.1624 | 0.5617
Std. dev. | 0.872 | 0.0137 | 0.5008 | 0.5011 | 0.7729 | 0.4754 | 0.1626 | 0.297
WinBUGS | -4.6 | 0.003 | 0.1329 | 0.6444 | -1.168 | -1.938 | 1.215 | 0.6374
Std. dev. | 0.8962 | 0.0148 | 0.5393 | 0.5301 | 0.8335 | 0.4854 | 0.1623 | 0.357