A Two-Parameter Model for the Survival Curve of Treated Cancer Patients
作者:
J.L. Haybittle,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1965)
卷期:
Volume 60,
issue 309
页码: 16-26
ISSN:0162-1459
年代: 1965
DOI:10.1080/01621459.1965.10480772
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A two-parameter model for representing the survival curve of treated cancer patients is described. IfPTis the proportion of the treated patients surviving to timeT, and[Ptilde]Tis the proportion of a normal population surviving to timeTthen the survival curve may be represented by: —PT/[Ptilde]T= c.e-logec,e-βT, wherecis the proportion cured and β is the asymptotic value asTapproaches ∞ of the instantaneous risk of dying from cancer in the uncured group. The model stems from the observation that, in the whole series, the conditional probability of dying from cancer in an interval calculated by the usual actuarial method, tends to decrease exponentially with time, and the model has been designated ‘extrapolated actuarial’ to distinguish it from the lognormal model of Boag [2], and the exponential model of Berkson and Gage [1].
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