Tipping Point Sensitivity Analysis for Missing Data in Time-to-Event Endpoints: Model-Based and Model-Free Approaches

Abstract: Missing data frequently occurs in clinical trials with time-to-event endpoints, often due to administrative censoring. Other reasons, such as loss-to-follow up and patient withdrawal of consent, can violate the censoring-at-random assumption hence lead to biased estimates of the treatment effect under treatment policy estimand. Numerous methods have been proposed to conduct sensitivity analyses in these situations, one of which is the tipping point analysis. It aims to evaluate the robustness of trial conclusions by varying certain data and/or model aspects while imputing missing data. We provide an overview of the missing data considerations. The main contribution of this paper lies in categorizing and contrasting tipping point methods as two groups, namely model-based and model-free approaches, where the latter is under-emphasized in the literature. We highlight their important differences in terms of assumptions, behaviors and interpretations. Through two case studies and simulations under various scenarios, we provide insight on how different tipping point methods impact the interpretation of trial outcomes. Through these comparisons, we aim to provide a practical guide to conduct tipping point analyses from the choice of methods to ways of conducting clinical plausibility assessment, and ultimately contributing to more robust and reliable interpretation of clinical trial results in the presence of missing data for time-to-event endpoints.