When Consistency Does Not Mean Reliability: Evaluating Local LLM Judges Against Human Ratings
Organizations: Department of Mathematics Indian Institute of Technology Kharagpur
Abstract
Large language models (LLMs) are increasingly used to evaluate the responses of other language models. This approach, known as LLM-as-a-Judge, is faster and cheaper than human evaluation. However, a judge may produce consistent scores without necessarily agreeing with human evaluators. In this work, we study this issue using two local open-weight LLM judges, LLaMA-3-8B and Qwen2.5-7B. We evaluate 300 responses generated by an instruction-tuned GPT-2 (124M) model for 100 questions covering five categories: factual knowledge, instruction following, mathematics, reasoning, and writing. Each response is scored by nine human annotators and is evaluated three times by each LLM judge using the same rubric. We compare the judge scores with the average human scores using Pearson correlation, Spearman correlation, mean absolute error (MAE), signed bias, and self-consistency. LLaMA-3-8B shows a Pearson correlation of 0.275 with human scores, while Qwen2.5-7B achieves 0.340. Their MAEs are 27.71 and 18.64, respectively. Despite this limited agreement, both judges show high self-consistency, with exact consistency rates of 97.3% for LLaMA-3-8B and 92.3% for Qwen2.5-7B. These results show that high self-consistency does not necessarily indicate high agreement with human judgments. Our findings highlight the need to evaluate both consistency and human alignment when using local LLMs as automatic judges.
Figures & tables
| Study | Evaluator | Evaluation Setting | Main Focus |
|---|---|---|---|
| Zheng et al. Zheng et al. (2023) | Strong LLM judges | MT-Bench and Chatbot Arena | Human preference alignment and judge biases |
| Liu et al. Liu et al. (2023) | GPT-4 | NLG evaluation | Human-aligned reference-free evaluation |
| Huang et al. Huang et al. (2024) | Fine-tuned LLM judges | Multiple evaluation dimensions | Generalization and limitations of fine-tuned judges |
| Zhu et al. Zhu et al. (2023) | JudgeLM | LLM response evaluation | Scalable open-source judging and judge biases |
| Kim et al. Kim et al. (2023) | Prometheus | Rubric-based evaluation | Fine-grained and customizable evaluation |
| Ye et al. Ye et al. (2024) | FLASK | Skill-based LLM evaluation | Fine-grained alignment skill assessment |
| Metric | Value |
|---|---|
| Number of annotators | 9 |
| Mean pairwise Pearson | 0.967 |
| Minimum pairwise Pearson | 0.939 |
| Maximum pairwise Pearson | 0.990 |
| ICC(2,k) absolute agreement | 0.996 |
| Metric | LLaMA-3-8B | Qwen2.5-7B |
|---|---|---|
| Pearson correlation | 0.275 | 0.340 |
| Pearson 95% CI | [0.145, 0.405] | [0.178, 0.491] |
| Spearman correlation | 0.258 | 0.303 |
| Spearman 95% CI | [0.145, 0.367] | [0.194, 0.405] |
| MAE | 27.71 | 18.64 |
| MAE 95% CI | [25.67, 29.89] | [16.96, 20.45] |
| Category | LLaMA-3-8B | Qwen2.5-7B | ||
|---|---|---|---|---|
| Pearson | MAE | Pearson | MAE | |
| Factual knowledge | 0.592 | 25.79 | 0.678 | 19.46 |
| Instruction following | 0.462 | 24.64 | 0.154 | 16.39 |
| Mathematics | 0.026 | 35.95 | 0.506 | 17.32 |
| Reasoning | 0.076 | 25.52 | 0.130 | 18.34 |
| Writing | 0.156 | 26.64 | 0.132 | 21.71 |
| Setting | LLaMA-3-8B | Qwen2.5-7B | ||
|---|---|---|---|---|
| Pearson | MAE | Pearson | MAE | |
| Low temperature | 0.165 | 31.97 | 0.314 | 22.06 |
| Medium temperature | 0.372 | 26.81 | 0.436 | 19.13 |
| High temperature | 0.264 | 24.33 | 0.184 | 14.74 |
| Metric | LLaMA-3-8B | Qwen2.5-7B |
|---|---|---|
| Judge–length Pearson | 0.091 | -0.108 |
| Judge–length -value | 0.1172 | 0.06285 |
| Raw human–judge | 0.275 | 0.340 |
| Length-controlled | 0.265 | 0.364 |
| Raw partial | +0.010 | -0.024 |
LLM-as-a-Judge
Large language model (LLM)-as-a-judge research uses language models to score, compare, and verify AI outputs as scalable alternatives to human evaluation.
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