Identification and Estimation of Long-Term Treatment Effects with Monotone Missing

Estimating long-term treatment effects has a wide range of applications in various domains. A key feature in this context is that collecting long-term outcomes typically involves a multi-stage process and is subject to monotone missing, where individuals missing at an earlier stage remain missing at subsequent stages. Despite its prevalence, monotone missing has been rarely explored in previous studies on estimating long-term treatment effects. In this paper, we address this gap by introducing the sequential missingness assumption for identification. We propose three novel estimation methods, including inverse probability weighting, sequential regression imputation, and sequential marginal structural model (SeqMSM). Considering that the SeqMSM method may suffer from high variance due to severe data sparsity caused by monotone missing, we further propose a novel balancing-enhanced approach, BalanceNet, to improve the stability and accuracy of the estimation methods. Extensive experiments on two widely used benchmark datasets demonstrate the effectiveness of our proposed methods.

@article{yang2025_2504.19527,
  title={ Identification and Estimation of Long-Term Treatment Effects with Monotone Missing },
  author={ Qinwei Yang and Ruocheng Guo and Shasha Han and Peng Wu },
  journal={arXiv preprint arXiv:2504.19527},
  year={ 2025 }
}