Proportion cured and mean log survival time as functions of tumour size.

We obtained maximum likelihood estimates (MLEs) of the proportion cured pi c and mean log survival time mu t for a sample of 4355 patients with intraocular melanoma whose survival times subsequent to treatment were assumed to follow a log-normal distribution. Following stratification by tumour size, MLEs of pi c and mu t derived for each stratum correlate inversely with tumour size. We then expressed pi c and mu t as continuous functions of tumour size and calculated MLEs for the parameters of these functions from the entire sample. This investigation documents for ocular melanoma a significant relationship of tumour size to both cured fraction and mean log survival time.