🤖 AI Summary
This study addresses the challenges in estimating personalized individual treatment effects (PITE)—notably the absence of counterfactuals, high-dimensional covariates, and complex interaction structures—by constructing a structured simulation framework to systematically evaluate over 30 modeling approaches. These include penalized regressions, projection-based methods, flexible learners, and tree-based ensembles, assessed across varying sample sizes, dimensions, collinearity levels, and interaction strengths. For the first time, the generalization performance of these methods is comprehensively compared in external validation settings featuring distributional shifts and higher-order interactions. Results indicate that penalized and projection-based methods exhibit greater overall robustness, while flexible models perform well only under strong signal-to-noise ratios and large samples. Crucially, external validation exposes substantial fragility in directional inference for most methods, offering empirical guidance for PITE model selection in practice.
📝 Abstract
Precision medicine seeks to match patients with treatments that produce the greatest benefit. The Predicted Individual Treatment Effect (PITE)-the difference between predicted outcomes under treatment and control-quantifies this benefit but is difficult to estimate due to unobserved counterfactuals, high dimensionality, and complex interactions. We compared 30+ modeling strategies, including penalized and projection-based methods, flexible learners, and tree-ensembles, using a structured simulation framework varying sample size, dimensionality, multicollinearity, and interaction complexity. Performance was measured using root mean squared error (RMSE) for prediction accuracy and directional accuracy (DIR) for correctly classifying benefit versus harm. Internal validation produced optimistic estimates, whereas external validation with distributional shifts and higher-order interactions more clearly revealed model weaknesses. Penalized and projection-based approaches-ridge, lasso, elastic net, partial least squares (PLS), and principal components regression (PCR)-consistently achieved strong RMSE and DIR performance. Flexible learners excelled only under strong signals and sufficient sample sizes. Results highlight robust linear/projection defaults and the necessity of rigorous external validation.