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How should covariates be handled in randomized trials? Empirical evidence from 50 trials and recommendations for practice

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arxiv 2602.00434 v3 pith:SVZMKF5H submitted 2026-01-31 stat.AP

How should covariates be handled in randomized trials? Empirical evidence from 50 trials and recommendations for practice

classification stat.AP
keywords adjustmenttrialscovariateanalysisprecisioncovariatesempiricalmethods
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Background and Objective: Covariate adjustment can improve precision and power in randomized clinical trials and is recommended by major regulatory agencies. However, there is limited empirical evidence on how different adjustment strategies perform across diverse real-world trials, leaving uncertainty about which methods and covariates should be prespecified in statistical analysis plans. We aim to address this gap and provide practical recommendations. Methods: We conducted a large-scale empirical study using individual-level data from 50 publicly available randomized trials (29,094 participants; 574 treatment-outcome comparisons). We compared commonly used covariate-adjusted estimators, including analysis of covariance, inverse-probability weighting, g-computation, and machine-learning-based approaches, combined with three covariate-selection strategies. Performance was evaluated using precision gains, changes in point estimates, computational reliability, and the probability that covariate adjustment altered statistical significance relative to an unadjusted analysis. Results: Covariate adjustment improved precision in most settings, with a median variance reduction of 13.3\% for continuous outcomes and 4.6\% for binary outcomes. Parsimonious regression approaches using a small prespecified set of prognostic covariates performed as well as or better than more complex methods, particularly in small to medium samples. Machine-learning-based estimators did not provide additional precision and were more prone to computational failure for binary outcomes. Conclusions: Across trials, parsimonious covariate adjustment provided consistent efficiency gains without introducing systematic bias. These findings support routine covariate adjustment in primary trial analyses. All curated datasets and analysis code are openly released to support future clinical research.

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Cited by 2 Pith papers

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  1. Improving Variance Estimation for Covariate Adjustment with Binary Outcomes

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    The IF-LOO variance estimator for covariate-adjusted treatment effects with binary outcomes provides appropriate type I error control in simulations, especially for rare events or small samples, with a closed-form imp...

  2. AI-Assisted Variance Reduction in Randomized Experiments

    econ.EM 2026-06 unverdicted novelty 4.0

    Including LLM predictions as covariates in standard regression adjustment for randomized experiments reduces variance with a do-no-harm property that reverts to the unadjusted estimator when predictions are uninformative.