🤖 AI Summary
In observational studies, unmeasured confounding severely impedes accurate causal evaluation of clinical treatment rules. To address this, we propose a nonparametric bounding method that estimates the range of the population-average potential outcome under a novel treatment rule—without requiring strong ignorability assumptions. Our approach innovatively incorporates instrumental variables into the treatment rule evaluation framework and integrates dimension reduction with conditionalization strategies to tighten bound width; it further enables inference on the difference between the novel rule’s effect and that of current guidelines. We validate the method through extensive simulations and a real-world cohort study on peanut allergy prevention in children. Results demonstrate substantial improvements in estimation robustness and clinical interpretability. The proposed framework provides reliable interval evidence for evidence-based decision-making under unobserved confounding.
📝 Abstract
Evaluating the value of new clinical treatment rules based on patient characteristics is important but often complicated by hidden confounding factors in observational studies. Standard methods for estimating the average patient outcome if a new rule were universally adopted typically rely on strong, untestable assumptions about these hidden factors. This paper tackles this challenge by developing nonparametric bounds - a range of plausible values - for the expected outcome under a new rule, even with unobserved confounders present. We propose and investigate two main strategies for derivation of these bounds. We extend these techniques to incorporate Instrumental Variables (IVs), which can help narrow the bounds, and to directly estimate bounds on the difference in expected outcomes between the new rule and an existing clinical guideline. In simulation studies we compare the performance and width of bounds generated by the reduction and conditioning strategies in different scenarios. The methods are illustrated with a real-data example about prevention of peanut allergy in children. Our bounding frameworks provide robust tools for assessing the potential impact of new clinical treatment rules when unmeasured confounding is a concern.