A Comparison of Three Families of Survival Distributions for Quantal Response Data

摘要

In clinical studies, it is common to search for a suitable distribution function to model the survival pattern of test subjects after a treatment is administered to them. Though many distributions have appeared in the statistical literature, this study explores a family of three-parameter distributions, namely, the exponentiated Weibull family, and compares its performance with the other two popular families. Results suggest that the three families show similar performance. Three data sets, which are published in the literature, are reanalysed for illustration purposes.