Reproduce “Agreement Metrics for LLM-as-Judge Evaluation: What to Report and Why” on OpenResearch

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About this paper

Delip Rao, Chris Callison-Burch

The paper treats agreement scores for LLM judges as outputs of a measurement protocol, identifying choices about verdict extraction, rating thresholds, abstentions, and aggregation. In one rubric benchmark, 24 configurations yield accuracy from 0.551 to 0.899 and Cohen’s kappa from −0.067 to 0.068; extraction alone changes 703 of 2,007 decisions, so the spread does not establish strong judge performance.

Key insights

  • Common binary agreement metrics (Pearson's r, Spearman's \rho, Kendall's \tau_b, \phi, MCC) are mathematically identical for non-degenerate binary verdicts, making multiple reporting redundant.
  • Cohen's Kappa is sensitive to marginal rate mismatches between human and LLM judge, potentially appearing low even with high raw agreement if one label is highly prevalent.
  • Methodological decisions for handling abstentions, ties, and aggregation fundamentally redefine the quantity being measured, significantly impacting reported agreement and rendering non-standardized comparisons invalid.

Summary by alphaXiv.

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