Distribution-Free Regression Analysis of Grouped Survival Data

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Abstract
Methods based on regression models for logarithmic hazard functions, Cox models, are given for analysis of grouped and censored survival data. By making an approximation it is possible to obtain explicitly a maximum likelihood function involving only the regression parameters. This likelihood function is a convenient analog to Cox''s partial likelihood for ungrouped data. The method is applied to data from a toxicological experiment [using fish exposed to Zn in an aquarium].