The intuitively attractive additive hazards model is compared with pro
portional hazards and accelerated failure time models. The lack of ide
ntifiability limits the use of the model and prevents the application
of regression versions using covariates. Fortunately, data analysis ba
sed on nonhomogeneous Poisson processes or on proportional hazards is
likely to yield most of the information available in the data, even th
ough they: 1) do not necessarily represent the underlying process, and
2) even seem unlikely in certain situations. In particular, proportio
nal hazards modeling appears very robust and requires few assumptions.