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Can LLMs Really Understand Item Difficulty Levels? Implications for Automated Item Generation Using LLMs

Source
arxiv.org
Author
Xinyi Wang, Hong Jiao, Ming Li, Sydney Peters, Hanna Choi, Tianyi Zhou, Qingshu Xu
Date

Context

A model's ability to answer a test question does not establish that it can judge how difficult the question will be for test takers. A study of Reading and Writing assessment items found that the tested language models struggled to label hard questions. The best language-model configuration, OpenAI's GPT-4.1, achieved lower agreement with difficulty labels than ConvBERT, another used for comparison. GPT-5.4 tended to underestimate difficulty. For systems generating questions at a requested difficulty level, the finding identifies an gap: the generated question's difficulty needs checking against evidence beyond the generator's own judgment.

Key takeaways · AI-distilled
  • The scoreboard in quadratic weighted kappa (agreement with the true label, credited partially for near misses): best LLM 0.578, ConvBERT 0.625. A small encoder trained on the task beats a frontier model prompted for it.
  • Both learned models also beat the hand-engineered feature baseline, so the story isn't neural versus classical. It's task-specific training versus general-purpose prompting.
  • Why prompting fails here: projecting the item down to a low-dimensional map, easy and hard items sit on top of each other. Difficulty barely registers in the text's meaning, so a model reading meaning has little signal to read.
  • No prompting configuration rescued it. Across several models and strategies the winner was plain zero-shot at temperature 0, meaning the ceiling was the approach, not the prompt.
Terms in this piece · Glossary
  • LLM — A large language model — the neural network behind tools like Claude and ChatGPT, trained on huge amounts of text to predict what comes next.
  • eval — A repeatable test for AI quality — a set of tasks plus scoring — used the way software teams use test suites, because model output is too variable to judge by eyeballing.
  • embedding — A list of numbers representing a piece of text's meaning, so that similar meanings end up numerically close and can be searched.
Key quotes

“Zero-shot GPT-4.1 with a temperature of 0 yielded the highest item difficulty level prediction accuracy, with a quadratic weighted kappa (QWK) of 0.578.”

“However, LLMs' prediction accuracy was lower than that of ConvBERT (QWK = 0.625), which outperformed the best feature-based supervised machine learning model.”

“Further analysis showed that all LLMs struggled to label hard items; in particular, the current advanced GPT-5.4 tended to underestimate item difficulty levels.”

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