Two Sample Nonparametric Test under the Additive Hazards Model

Abstract

In this study, we propose a nonparametric test procedure between two samples for comparing the hazard functions under the additive hazards model. In this study, we consider to deal with the grouped and right censored data. We derive the test statistic based on the maximum likelihood principle and convert it into the weighted log-rank statistic using the relation between the scores for the censored and uncensored observations. Then we comment briefly about the limiting distribution of the proposed test statistic under the null hypothesis. Then we illustrate our procedure with an example. Finally we discuss some peculiar aspects of our test as concluding remarks.