A Moment-Based Generalization to Post-Prediction Inference

Fuente: arXiv
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Autori principali: Salerno, Stephen, Hoffman, Kentaro, Afiaz, Awan, Neufeld, Anna, McCormick, Tyler H., Leek, Jeffrey T.
Natura: Preprint
Pubblicazione: 2025
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author Salerno, Stephen
Hoffman, Kentaro
Afiaz, Awan
Neufeld, Anna
McCormick, Tyler H.
Leek, Jeffrey T.
author_facet Salerno, Stephen
Hoffman, Kentaro
Afiaz, Awan
Neufeld, Anna
McCormick, Tyler H.
Leek, Jeffrey T.
contents Artificial intelligence (AI) and machine learning (ML) are increasingly used to generate data for downstream analyses, yet naively treating these predictions as true observations can lead to biased results and incorrect inference. Wang et al. (2020) proposed a method, post-prediction inference, which calibrates inference by modeling the relationship between AI/ML-predicted and observed outcomes in a small, gold-standard sample. Since then, several methods have been developed for inference with predicted data. We revisit Wang et al. in light of these recent developments. We reflect on their assumptions and offer a simple extension of their method which relaxes these assumptions. Our extension (1) yields unbiased point estimates under standard conditions and (2) incorporates a simple scaling factor to preserve calibration variability. In extensive simulations, we show that our method maintains nominal Type I error rates, reduces bias, and achieves proper coverage.
format Preprint
id arxiv_https___arxiv_org_abs_2507_09119
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Moment-Based Generalization to Post-Prediction Inference
Salerno, Stephen
Hoffman, Kentaro
Afiaz, Awan
Neufeld, Anna
McCormick, Tyler H.
Leek, Jeffrey T.
Methodology
Machine Learning
Artificial intelligence (AI) and machine learning (ML) are increasingly used to generate data for downstream analyses, yet naively treating these predictions as true observations can lead to biased results and incorrect inference. Wang et al. (2020) proposed a method, post-prediction inference, which calibrates inference by modeling the relationship between AI/ML-predicted and observed outcomes in a small, gold-standard sample. Since then, several methods have been developed for inference with predicted data. We revisit Wang et al. in light of these recent developments. We reflect on their assumptions and offer a simple extension of their method which relaxes these assumptions. Our extension (1) yields unbiased point estimates under standard conditions and (2) incorporates a simple scaling factor to preserve calibration variability. In extensive simulations, we show that our method maintains nominal Type I error rates, reduces bias, and achieves proper coverage.
title A Moment-Based Generalization to Post-Prediction Inference
topic Methodology
Machine Learning
url https://arxiv.org/abs/2507.09119