Frontier LLMs Struggle to Properly Report Uncertainty

The author conducted an experiment testing 5 frontier large language models (LLMs) on statistical inference tasks, finding that while prompting the models to

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Why it matters

This experiment reveals a critical failure mode of frontier LLMs - they can appear to provide statistically valid outputs, but lack true statistical reasoning capabilities, which could lead to costly mistakes when deployed in real-world data science workflows.

Key Points

  • 1Tested 5 frontier LLMs on statistical inference tasks under 3 prompting conditions
  • 2Baseline prompts resulted in average statistical validity score of ~0.28
  • 3Prompting to
  • 4 only marginally improved scores to 0.31
  • 5Prompting to
  • 6 improved scores to 0.47
  • 7LLMs were mimicking statistical language without true statistical reasoning

Details

The author ran a simple experiment testing 5 frontier large language models (LLMs) on 5 challenging statistical inference tasks from the RealDataAgentBench benchmark. The models were tested under three prompting conditions: a baseline prompt, an instruction to

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