A Model Checking Method For The Additive Hazards Model With Multivariate Current Status Data

This paper presents a class of graphical and numerical techniques to check the overall fitting adequacy of the marginal additive hazards model to multivariate current status data. The proposed testing methods are based on the supremum of the stochastic processes derived from the cumulative sum of martingale-based residuals over time and covariates. The distributions of the proposed stochastic processes can be approximated via a simulation technique. A series of simulation studies are conducted to assess the finite-sample performance of the proposed methods. An application to a data set from a tumorigenicity study is provided.