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Fitting Survival Data to a Piecewise Linear Hazard Rate in the Presence of Covariates
Authors:Julie C Recknor  Alan J Gross
Abstract:This paper extends the work of KODLIN (1967), who proposed a method for analyzing patient survival data wherein the hazard rate was linearly related to the survival time. The present paper extends Kodlin's model to permit maximum likelihood estimation of the parameters so that covariate effects are included and the slope and intercept parameters are allowed to change over fixed intervals of the time domain of study. An illustration of the method using multiple myeloma data is given and the results are compared with those of Kodlin's model, the Feigl-Zelen, Zippin-Armitage model, the exponential model, and Cox's proportional hazards model.
Keywords:Linear hazard rate  Constant hazard rate  Proportional hazards  Maximum Likelihood  Newton-Raphson Method
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