Semicompeting risk outcome data, e.g. time to disease progression and time to death, are commonly collected in clinical trials, but complicated analytical tools hamper the analysis and the interpretation of the results. We propose a novel semiparametric transformation model for such data. Compared with the existing models, our model is advantageous in the following distinctive ways. First, it allows us to provide direct estimators of the regression analysis and the association parameter. Second, the measure of surrogacy, for example, the proportion of treatment effect and relative effect, can also be directly obtained. We propose a two-stage estimation procedure for inference and show the proposed estimator is consistent and asymptotically normal. Extensive simulations demonstrate the valid usage of our method. We apply the method to a real cancer trial to study the impact of several biomarkers on patients' semicompeting outcomes, namely, time to progression and time to death.
Lin, Huazhen; Zhou, Ling; Li, Chunhong; and Li, Yi, "Semiparametric Transformation Models for Semicompeting Survival Data" (January 2013). The University of Michigan Department of Biostatistics Working Paper Series. Working Paper 107.