Rejoinder to reader reaction “Comment on ‘Double robust conditional independence test for novel biomarkers given established risk factors with survival data’ by Lucas Kook”

We thank Dr. Kook for his thoughtful and constructive discussion of our paper. We appreciate his careful examination of the assumptions underlying our proposed method, as well as the numerical comparison with the Transformation Model Generalised Covariance Measure test proposed by Kook et al. Below, we respond to the main points raised in the Comment.