mlsanityData to 7 Oct 2026

Can We Trust Item Response Theory for AI Evaluation?

arXiv 2607.15190 ↗First posted 16 Jul 2026cs.AIcited by 3

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Abstract (arXiv)

AI benchmarks increasingly leverage item-level statistical models, particularly item response theory (IRT), to estimate model capabilities, rank systems, select informative examples, and diagnose benchmark quality. However, AI benchmark data often departs from the data regime of human testing, for which standard IRT estimation tools were originally developed: benchmarks typically involve fewer evaluated models, far more items, and capability distributions that may be skewed, clustered, or multimodal. We examine how these regime mismatches challenge the reliability of IRT modeling for AI evaluation. Using item parameters and capability distributions derived from six widely used LLM benchmarks, we simulate response matrices under three common IRT models and compare four estimation tools used in recent benchmark studies: marginal maximum likelihood, Markov chain Monte Carlo, variational inference, and a neural pseudo-Siamese estimator. Across 18,000 simulation conditions, we systematically evaluate computational feasibility, scalability, and the reliability of IRT inferences about model rankings, predicted performance, and item characteristics. Results show that classical estimators can become infeasible in large benchmark settings, whereas scalable estimators can produce unreliable item-level and ranking inferences with small or non-normally distributed model sets. This study identifies when latent trait models reliably support or risk distorting AI benchmarking claims, and what sample sizes and diagnostics are needed for trustworthy use.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 27 of its 64 references that are in the map. First posted on arXiv 16 Jul 2026.

Builds on

27 of 64 references.

References · 27

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15 more
  1. 2024metabench -- A Sparse Benchmark of Reasoning and Knowledge in Large Language Modelscited by 35
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  4. 2020Variational Item Response Theory: Fast, Accurate, and Expressivecited by 29
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  14. 2025Latency-Response Theory Model: Evaluating Large Language Models via Response Accuracy and Chain-of-Thought Lengthcited by 5
  15. 2025Identity-Link IRT for Label-Free LLM Evaluation: Preserving Additivity in TVD-MI Scorescited by 2

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3 papers.