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Autori principali: Ruan, Xinrui, Ma, Xinwei, Wang, Yingfei, Wei, Waverly, Wang, Jingshen
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2510.05545
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author Ruan, Xinrui
Ma, Xinwei
Wang, Yingfei
Wei, Waverly
Wang, Jingshen
author_facet Ruan, Xinrui
Ma, Xinwei
Wang, Yingfei
Wei, Waverly
Wang, Jingshen
contents Randomized experiments or randomized controlled trials (RCTs) are gold standards for causal inference, yet cost and sample-size constraints limit power. We introduce CALM (Causal Analysis leveraging Language Models), a statistical framework that integrates large language models (LLMs) generated insights of RCTs with established causal estimators to increase precision while preserving statistical validity. In particular, CALM treats LLM-generated outputs as auxiliary prognostic information and corrects their potential bias via a heterogeneous calibration step that residualizes and optimally reweights predictions. We prove that CALM remains consistent even when LLM predictions are biased and achieves efficiency gains over augmented inverse probability weighting estimators for various causal effects. In particular, CALM develops a few-shot variant that aggregates predictions across randomly sampled demonstration sets. The resulting U-statistic-like predictor restores i.i.d. structure and also mitigates prompt-selection variability. Empirically, in simulations calibrated to a mobile-app depression RCT, CALM delivers lower variance relative to other benchmarking methods, is effective in zero- and few-shot settings, and remains stable across prompt designs. By principled use of LLMs to harness unstructured data and external knowledge learned during pretraining, CALM provides a practical path to more precise causal analyses in RCTs.
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id arxiv_https___arxiv_org_abs_2510_05545
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publishDate 2025
record_format arxiv
spellingShingle Can language models boost the power of randomized experiments without statistical bias?
Ruan, Xinrui
Ma, Xinwei
Wang, Yingfei
Wei, Waverly
Wang, Jingshen
Methodology
Econometrics
Randomized experiments or randomized controlled trials (RCTs) are gold standards for causal inference, yet cost and sample-size constraints limit power. We introduce CALM (Causal Analysis leveraging Language Models), a statistical framework that integrates large language models (LLMs) generated insights of RCTs with established causal estimators to increase precision while preserving statistical validity. In particular, CALM treats LLM-generated outputs as auxiliary prognostic information and corrects their potential bias via a heterogeneous calibration step that residualizes and optimally reweights predictions. We prove that CALM remains consistent even when LLM predictions are biased and achieves efficiency gains over augmented inverse probability weighting estimators for various causal effects. In particular, CALM develops a few-shot variant that aggregates predictions across randomly sampled demonstration sets. The resulting U-statistic-like predictor restores i.i.d. structure and also mitigates prompt-selection variability. Empirically, in simulations calibrated to a mobile-app depression RCT, CALM delivers lower variance relative to other benchmarking methods, is effective in zero- and few-shot settings, and remains stable across prompt designs. By principled use of LLMs to harness unstructured data and external knowledge learned during pretraining, CALM provides a practical path to more precise causal analyses in RCTs.
title Can language models boost the power of randomized experiments without statistical bias?
topic Methodology
Econometrics
url https://arxiv.org/abs/2510.05545