3.8 Why Cox PH model is so popular? (pros of the model)
- It is a “robust” model, so that the results from using the Cox model will closely approximate the results for the correct parametric model (even though the baseline hazard is not specified).
Although the baseline hazard part of the model is unspecified, we can estimate the betas in the exponential part of the model (as we have seen). Then, the hazard function \(h(t,\textbf X)\) and its corresponding survival curves \(S(t, \textbf X\)) can also be estimated.
Finally, it is preferred over the logistic model when survival time information is available and there is censoring. Because you can obtain more information!