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Paper · arXiv

Power Analysis for Prediction-Powered Inference

Modern studies increasingly leverage outcomes predicted by machine learning and artificial intelligence (AI/ML) models, and recent work, such as prediction-powered inference (PPI), has developed valid downstream statistical inference procedures. However, classical power and sample size formulas do not readily account for these predictions. In this work, we tackle a simple yet practical question: given a new AI/ML model with high predictive power, how many labeled samples are needed to achieve a desired level of statistical power? We derive closed-form power formulas by characterizing the asymptotic variance of the PPI estimator and applying Wald test inversion to obtain the required label...

AuthorsYiqun T. Chen, Moran Guo, Shengy Li
Primary categorystat.ME
Published17 March 2026
Last updated at source17 March 2026
stat.MEcs.LG
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