Benchmarking Debiasing Methods for LLM-based Parameter Estimates

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Main Authors: de Pieuchon, Nicolas Audinet, Daoud, Adel, Jerzak, Connor T., Johansson, Moa, Johansson, Richard
Format: Preprint
Published: 2025
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author de Pieuchon, Nicolas Audinet
Daoud, Adel
Jerzak, Connor T.
Johansson, Moa
Johansson, Richard
author_facet de Pieuchon, Nicolas Audinet
Daoud, Adel
Jerzak, Connor T.
Johansson, Moa
Johansson, Richard
contents Large language models (LLMs) offer an inexpensive yet powerful way to annotate text, but are often inconsistent when compared with experts. These errors can bias downstream estimates of population parameters such as regression coefficients and causal effects. To mitigate this bias, researchers have developed debiasing methods such as Design-based Supervised Learning (DSL) and Prediction-Powered Inference (PPI), which promise valid estimation by combining LLM annotations with a limited number of expensive expert annotations. Although these methods produce consistent estimates under theoretical assumptions, it is unknown how they compare in finite samples of sizes encountered in applied research. We make two contributions. First, we study how each methods performance scales with the number of expert annotations, highlighting regimes where LLM bias or limited expert labels significantly affect results. Second, we compare DSL and PPI across a range of tasks, finding that although both achieve low bias with large datasets, DSL often outperforms PPI on bias reduction and empirical efficiency, but its performance is less consistent across datasets. Our findings indicate that there is a bias-variance tradeoff at the level of debiasing methods, calling for more research on developing metrics for quantifying their efficiency in finite samples.
format Preprint
id arxiv_https___arxiv_org_abs_2506_09627
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Benchmarking Debiasing Methods for LLM-based Parameter Estimates
de Pieuchon, Nicolas Audinet
Daoud, Adel
Jerzak, Connor T.
Johansson, Moa
Johansson, Richard
Computation and Language
Large language models (LLMs) offer an inexpensive yet powerful way to annotate text, but are often inconsistent when compared with experts. These errors can bias downstream estimates of population parameters such as regression coefficients and causal effects. To mitigate this bias, researchers have developed debiasing methods such as Design-based Supervised Learning (DSL) and Prediction-Powered Inference (PPI), which promise valid estimation by combining LLM annotations with a limited number of expensive expert annotations. Although these methods produce consistent estimates under theoretical assumptions, it is unknown how they compare in finite samples of sizes encountered in applied research. We make two contributions. First, we study how each methods performance scales with the number of expert annotations, highlighting regimes where LLM bias or limited expert labels significantly affect results. Second, we compare DSL and PPI across a range of tasks, finding that although both achieve low bias with large datasets, DSL often outperforms PPI on bias reduction and empirical efficiency, but its performance is less consistent across datasets. Our findings indicate that there is a bias-variance tradeoff at the level of debiasing methods, calling for more research on developing metrics for quantifying their efficiency in finite samples.
title Benchmarking Debiasing Methods for LLM-based Parameter Estimates
topic Computation and Language
url https://arxiv.org/abs/2506.09627