LLM Evaluation Guide

A skill for evaluating and benchmarking large language models (LLMs) in research settings. Covers automatic metrics, human evaluation protocols, benchmark suites, evaluation pitfalls, and best practices for reporting LLM performance.

Evaluation Taxonomy

Types of Evaluation

1. Intrinsic evaluation:
   Measures model quality on its own terms
   - Perplexity, likelihood, calibration
   - Useful for comparing architectures and training procedures

2. Extrinsic evaluation:
   Measures model quality on downstream tasks
   - Task-specific benchmarks (QA, summarization, classification)
   - Closer to real-world usefulness

3. Human evaluation:
   Human judges rate model outputs
   - Fluency, correctness, helpfulness, safety
   - Gold standard but expensive and slow

Automatic Metrics

Common Metrics by Task

| Task | Metric | Description | |------|--------|-------------| | Language modeling | Perplexity | Lower is better; measures prediction quality | | Machine translation | BLEU, COMET | N-gram overlap; learned quality estimation | | Summarization | ROUGE-1/2/L | Recall of n-grams against reference | | Question answering | Exact Match, F1 | Token-level match against reference answer | | Classification | Accuracy, F1 | Standard classification metrics | | Generation quality | BERTScore | Semantic similarity via embeddings | | Factuality | FActScore | Proportion of atomic facts supported by evidence |

Computing Key Metrics

python
from collections import Counter
import math


def compute_bleu(reference: list[str], hypothesis: list[str],
                 max_n: int = 4) -> float:
    """
    Compute corpus-level BLEU score (simplified).

    Args:
        reference: List of reference token sequences
        hypothesis: List of hypothesis token sequences
        max_n: Maximum n-gram order
    """
    precisions = []

    for n in range(1, max_n + 1):
        num = 0
        den = 0
        for ref_tokens, hyp_tokens in zip(reference, hypothesis):
            ref_ngrams = Counter(
                tuple(ref_tokens[i:i+n]) for i in range(len(ref_tokens) - n + 1)
            )
            hyp_ngrams = Counter(
                tuple(hyp_tokens[i:i+n]) for i in range(len(hyp_tokens) - n + 1)
            )
            clipped = {ng: min(c, ref_ngrams.get(ng, 0))
                       for ng, c in hyp_ngrams.items()}
            num += sum(clipped.values())
            den += max(sum(hyp_ngrams.values()), 1)

        precisions.append(num / max(den, 1))

    # Brevity penalty
    ref_len = sum(len(r) for r in reference)
    hyp_len = sum(len(h) for h in hypothesis)
    bp = math.exp(1 - ref_len / max(hyp_len, 1)) if hyp_len < ref_len else 1.0

    # Geometric mean of precisions
    log_avg = sum(math.log(max(p, 1e-10)) for p in precisions) / max_n
    return bp * math.exp(log_avg)

Benchmark Suites

Major LLM Benchmarks

General knowledge and reasoning:
  - MMLU (Massive Multitask Language Understanding): 57 subjects, MCQ
  - HellaSwag: Commonsense sentence completion
  - ARC (AI2 Reasoning Challenge): Science questions
  - WinoGrande: Coreference resolution / commonsense

Coding:
  - HumanEval: Python function completion (pass@k)
  - MBPP: Mostly basic Python problems
  - SWE-bench: Real-world software engineering tasks

Math:
  - GSM8K: Grade school math word problems
  - MATH: Competition-level mathematics

Safety and alignment:
  - TruthfulQA: Resistance to common misconceptions
  - BBQ (Bias Benchmark for QA): Social bias in QA
  - RealToxicityPrompts: Tendency to generate toxic text

Instruction following:
  - MT-Bench: Multi-turn conversation quality (LLM-as-judge)
  - AlpacaEval: Instruction-following quality
  - Chatbot Arena: ELO-based human preference ranking

Human Evaluation

Designing a Human Evaluation Protocol

python
def design_human_eval(task: str, n_annotators: int = 3,
                      n_examples: int = 200) -> dict:
    """
    Design a human evaluation protocol for LLM outputs.

    Args:
        task: The task being evaluated
        n_annotators: Number of independent annotators per example
        n_examples: Number of examples to evaluate
    """
    return {
        "task": task,
        "n_annotators": n_annotators,
        "n_examples": n_examples,
        "criteria": [
            {"name": "Fluency", "scale": "1-5",
             "description": "Is the text grammatically correct and natural?"},
            {"name": "Relevance", "scale": "1-5",
             "description": "Does the output address the input/question?"},
            {"name": "Correctness", "scale": "1-5",
             "description": "Is the factual content accurate?"},
            {"name": "Helpfulness", "scale": "1-5",
             "description": "Would a user find this response useful?"}
        ],
        "agreement_metric": "Krippendorff's alpha (ordinal)",
        "presentation": "Randomize model order; blind annotators to model identity",
        "calibration": "Have all annotators rate 20 shared examples first",
        "cost_estimate": f"~{n_examples * n_annotators * 0.50:.0f} USD at typical rates"
    }

Evaluation Pitfalls

Common Mistakes

1. Data contamination:
   Test data may appear in the LLM's training set.
   Mitigation: Use held-out datasets, check for contamination,
   create new test sets.

2. Metric gaming:
   High BLEU does not mean high quality; ROUGE rewards verbosity.
   Mitigation: Use multiple metrics and human evaluation.

3. Cherry-picking examples:
   Showing only best-case outputs misrepresents model capabilities.
   Mitigation: Report aggregate metrics over full test sets.

4. Ignoring variance:
   LLM outputs vary with temperature and random seeds.
   Mitigation: Report mean and standard deviation over multiple runs.

5. Unfair comparisons:
   Comparing models with different prompt formats or few-shot counts.
   Mitigation: Standardize prompts and report all hyperparameters.

Reporting Standards

When publishing LLM evaluation results, report: model name and version, parameter count and architecture, evaluation dataset with version number, exact prompts used (include in appendix), number of few-shot examples, decoding parameters (temperature, top-p, max tokens), multiple metrics (not just one), confidence intervals or significance tests, and hardware and inference cost where relevant.