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Proportion cured and mean log survival time as functions of tumour size
Author(s) -
Gamel John W.,
McLean Ian W.,
Rosenberg Saul H.
Publication year - 1990
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780090814
Subject(s) - statistics , mathematics , survival analysis , medicine
We obtained maximum likelihood estimates (MLEs) of the proportion cured π c and mean log survival time μ 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 π c and μ t derived for each stratum correlate inversely with tumour size. We then expressed π c and μ 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.