Interval-censored data occur in survival analysis when the survival time of
each patient is only known to be within an interval and these censoring in
tervals differ from patient to patient. For such data, we present some Baye
sian discretized semiparametric models, incorporating proportional and nonp
roportional hazards structures, along with associated statistical analyses
and tools for model selection using sampling-based methods. The scope of th
ese methodologies is illustrated through a reanalysis of a breast cancer da
ta set (Finkelstein, 1986, Biometrics 42, 845-854) to test whether the effe
ct of covariate on survival changes over time.