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Large Language Models: An Applied Econometric Framework

Author

Listed:
  • Jens Ludwig
  • Sendhil Mullainathan
  • Ashesh Rambachan

Abstract

Large language models (LLMs) enable researchers to analyze text at unprecedented scale and minimal cost. Researchers can now revisit old questions and tackle novel ones with rich data. We provide an econometric framework for realizing this potential in two empirical uses. For prediction problems – forecasting outcomes from text – valid conclusions require “no training leakage” between the LLM’s training data and the researcher’s sample, which can be enforced through careful model choice and research design. For estimation problems – automating the measurement of economic concepts for downstream analysis – valid downstream inference requires combining LLM outputs with a small validation sample to deliver consistent and precise estimates. Absent a validation sample, researchers cannot assess possible errors in LLM outputs, and consequently seemingly innocuous choices (which model, which prompt) can produce dramatically different parameter estimates. When used appropriately, LLMs are powerful tools that can expand the frontier of empirical economics.

Suggested Citation

  • Jens Ludwig & Sendhil Mullainathan & Ashesh Rambachan, 2025. "Large Language Models: An Applied Econometric Framework," NBER Working Papers 33344, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:33344
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    Cited by:

    1. Feyzollahi, Maryam & Rafizadeh, Nima, 2025. "The adoption of Large Language Models in economics research," Economics Letters, Elsevier, vol. 250(C).
    2. Hui Chen & Antoine Didisheim & Mohammad & Pourmohammadi & Luciano Somoza & Hanqing Tian, 2025. "A Financial Brain Scan of the LLM," Papers 2508.21285, arXiv.org, revised Feb 2026.
    3. Slonimczyk, Fabian, 2025. "This Candidate is [MASK]. Prompt-based Sentiment Extraction and Reference Letters," MPRA Paper 126675, University Library of Munich, Germany.
    4. Ke Wu & Baozhong Yang & Zhenkun Ying & Dexin Zhou, 2025. "Anonymization and Information Loss," Papers 2511.15364, arXiv.org.
    5. Songrun He & Linying Lv & Asaf Manela & Jimmy Wu, 2025. "Chronologically Consistent Large Language Models," Papers 2502.21206, arXiv.org, revised Jul 2025.
    6. Songrun He & Linying Lv & Asaf Manela & Jimmy Wu, 2025. "Instruction Tuning Chronologically Consistent Language Models," Papers 2510.11677, arXiv.org, revised Nov 2025.
    7. Herbert Dawid & Philipp Harting & Hankui Wang & Zhongli Wang & Jiachen Yi, 2025. "Agentic Workflows for Economic Research: Design and Implementation," Papers 2504.09736, arXiv.org.
    8. Giuseppe Matera, 2025. "Corporate Earnings Calls and Analyst Beliefs," Papers 2511.15214, arXiv.org, revised Nov 2025.
    9. Koji Takahashi & Joon Suk Park, 2025. "Generative AI for Surveys on Payment Apps: AIs' View on Privacy and Technology," IMES Discussion Paper Series 25-E-13, Institute for Monetary and Economic Studies, Bank of Japan.
    10. Philippe Goulet Coulombe, 2025. "Ordinary Least Squares as an Attention Mechanism," Papers 2504.09663, arXiv.org, revised Jan 2026.

    More about this item

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics

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