LLM As Judge Evaluation

LLM-as-Judge Evaluation

When to Use This Skill

Use LLM-as-Judge evaluation when you need to:

• Compare a fine-tuned model vs frontier — Does the student beat the teacher on your task?
• Quality gates before deployment — Automated go/no-go on model releases
• Continuous evaluation — Monitor production model quality over time
• Generate preference data — Create (chosen, rejected) pairs for DPO/RLHF training
• Evaluate without ground truth — When exact answers don't exist (creative, open-ended tasks)

When NOT to Use

• Tasks with verifiable answers (math, code execution) — use exact match or unit tests
• Extremely simple classification — use accuracy/F1 directly
• Safety evaluation — use dedicated safety benchmarks, not general judges

Pairwise Comparison

The most reliable LLM-as-judge method. Show a judge two outputs (A and B) and ask which is better.

Basic Implementation

import openai
import json
import random

client = openai.OpenAI()

PAIRWISE_PROMPT = """You are an expert evaluator. Compare two responses to the same prompt.

## Task Context
{task_description}

## User Input
{user_input}

## Response A
{response_a}

## Response B
{response_b}

## Evaluation Criteria
{criteria}

Which response is better? Consider all criteria above.
Return JSON: {{"winner": "A" or "B" or "tie", "reasoning": "brief explanation"}}"""


def pairwise_compare(user_input, response_a, response_b, task_description, criteria,
                     model="gpt-4o", swap_positions=True):
    """Compare two responses with position bias mitigation."""
    results = []

    # First comparison: A=position1, B=position2
    prompt = PAIRWISE_PROMPT.format(
        task_description=task_description,
        user_input=user_input,
        response_a=response_a,
        response_b=response_b,
        criteria=criteria,
    )
    resp = client.chat.completions.create(
        model=model,
        messages=[{"role": "user", "content": prompt}],
        response_format={"type": "json_object"},
        temperature=0,
    )
    result1 = json.loads(resp.choices[0].message.content)
    results.append(result1["winner"])

    if swap_positions:
        # Second comparison: swap positions to detect position bias
        prompt_swapped = PAIRWISE_PROMPT.format(
            task_description=task_description,
            user_input=user_input,
            response_a=response_b,  # Swapped
            response_b=response_a,  # Swapped
            criteria=criteria,
        )
        resp2 = client.chat.completions.create(
            model=model,
            messages=[{"role": "user", "content": prompt_swapped}],
            response_format={"type": "json_object"},
            temperature=0,
        )
        result2 = json.loads(resp2.choices[0].message.content)
        # Reverse the swapped result
        swapped_winner = {"A": "B", "B": "A", "tie": "tie"}[result2["winner"]]
        results.append(swapped_winner)

    # Aggregate: both must agree, otherwise tie
    if len(set(results)) == 1:
        return results[0]
    return "tie"

Running a Full Evaluation

def evaluate_model_pair(eval_set, model_a_fn, model_b_fn, task_description, criteria,
                        judge_model="gpt-4o"):
    """Run pairwise evaluation across an entire eval set.

    Args:
        eval_set: List of {"input": str, "reference": str (optional)}
        model_a_fn: Function(input) -> str (e.g., frontier model)
        model_b_fn: Function(input) -> str (e.g., fine-tuned model)
        task_description: What the models are supposed to do
        criteria: Evaluation criteria string
        judge_model: Which model to use as judge
    """
    results = {"A": 0, "B": 0, "tie": 0}
    details = []

    for i, example in enumerate(eval_set):
        # Generate responses
        response_a = model_a_fn(example["input"])
        response_b = model_b_fn(example["input"])

        # Random assignment to positions (reduces systematic bias)
        if random.random() < 0.5:
            winner = pairwise_compare(
                example["input"], response_a, response_b,
                task_description, criteria, judge_model
            )
        else:
            raw = pairwise_compare(
                example["input"], response_b, response_a,
                task_description, criteria, judge_model
            )
            winner = {"A": "B", "B": "A", "tie": "tie"}[raw]

        results[winner] += 1
        details.append({
            "input": example["input"],
            "response_a": response_a,
            "response_b": response_b,
            "winner": winner,
        })

        if (i + 1) % 20 == 0:
            print(f"Progress: {i+1}/{len(eval_set)} — A:{results['A']} B:{results['B']} Tie:{results['tie']}")

    total = sum(results.values())
    report = {
        "total_comparisons": total,
        "model_a_wins": results["A"],
        "model_b_wins": results["B"],
        "ties": results["tie"],
        "model_a_win_rate": results["A"] / total,
        "model_b_win_rate": results["B"] / total,
        "tie_rate": results["tie"] / total,
    }
    return report, details

Likert Scoring (1-5 Scale)

For absolute quality assessment rather than comparison:

LIKERT_PROMPT = """You are an expert evaluator. Rate this response on a 1-5 scale.

## Task Context
{task_description}

## User Input
{user_input}

## Response
{response}

## Scoring Rubric
{rubric}

Rate the response on each dimension. Then provide an overall score.
Return JSON: {{"scores": {{"dimension_name": score, ...}}, "overall": score, "reasoning": "..."}}"""


def likert_score(user_input, response, task_description, rubric, model="gpt-4o"):
    """Score a single response on a 1-5 Likert scale."""
    prompt = LIKERT_PROMPT.format(
        task_description=task_description,
        user_input=user_input,
        response=response,
        rubric=rubric,
    )
    resp = client.chat.completions.create(
        model=model,
        messages=[{"role": "user", "content": prompt}],
        response_format={"type": "json_object"},
        temperature=0,
    )
    return json.loads(resp.choices[0].message.content)

Custom Rubric Design

Template

RUBRIC_TEMPLATE = """
Score 1 (Poor): {poor_description}
Score 2 (Below Average): {below_avg_description}
Score 3 (Average): {avg_description}
Score 4 (Good): {good_description}
Score 5 (Excellent): {excellent_description}
"""

# Example: Code generation rubric
CODE_RUBRIC = """
Dimensions:
1. Correctness (weight: 0.4)
   1: Code has critical bugs, won't run
   2: Runs but produces wrong output in common cases
   3: Correct for common cases, fails on edge cases
   4: Correct for all cases, minor style issues
   5: Correct, clean, handles all edge cases

2. Efficiency (weight: 0.2)
   1: Exponential or worse complexity
   2: Unnecessarily slow, obvious optimization missed
   3: Acceptable performance for typical inputs
   4: Well-optimized, good algorithmic choices
   5: Optimal or near-optimal solution

3. Readability (weight: 0.2)
   1: Incomprehensible, no structure
   2: Hard to follow, poor naming
   3: Readable with effort, some unclear parts
   4: Clean code, good naming and structure
   5: Exemplary clarity, well-documented

4. Completeness (weight: 0.2)
   1: Missing major requirements
   2: Partial implementation
   3: Implements core requirements
   4: Complete with good error handling
   5: Complete with tests, docs, error handling
"""

Position Bias Mitigation

LLM judges tend to prefer whichever response appears first. Always mitigate this:

def mitigated_pairwise(user_input, response_a, response_b, **kwargs):
    """Run comparison twice with swapped positions."""
    # Round 1: A first, B second
    r1 = pairwise_compare(user_input, response_a, response_b, swap_positions=False, **kwargs)

    # Round 2: B first, A second
    r2_raw = pairwise_compare(user_input, response_b, response_a, swap_positions=False, **kwargs)
    r2 = {"A": "B", "B": "A", "tie": "tie"}[r2_raw]

    # Agreement check
    if r1 == r2:
        return r1  # Both rounds agree
    return "tie"  # Disagreement = inconclusive

Statistical Significance

Bootstrap Confidence Intervals

import numpy as np

def bootstrap_win_rate(wins, total, n_bootstrap=10000, ci=0.95):
    """Calculate bootstrap confidence interval for win rate."""
    win_rate = wins / total
    samples = np.random.binomial(total, win_rate, n_bootstrap) / total

    alpha = (1 - ci) / 2
    lower = np.percentile(samples, alpha * 100)
    upper = np.percentile(samples, (1 - alpha) * 100)

    return {
        "win_rate": win_rate,
        "ci_lower": lower,
        "ci_upper": upper,
        "significant": lower > 0.5 or upper < 0.5,  # Significantly different from 50%
    }

Minimum Sample Size

Rule of thumb: Use at least 100 examples for deployment decisions, 200+ for reliable win rates.

Generating Preference Data for DPO

Convert judge outputs to (chosen, rejected) pairs:

def generate_dpo_pairs(eval_set, model_a_fn, model_b_fn, task_description, criteria,
                       judge_model="gpt-4o"):
    """Generate DPO training pairs from pairwise evaluation."""
    pairs = []

    for example in eval_set:
        response_a = model_a_fn(example["input"])
        response_b = model_b_fn(example["input"])

        winner = pairwise_compare(
            example["input"], response_a, response_b,
            task_description, criteria, judge_model
        )

        if winner == "tie":
            continue  # Skip ties for DPO

        chosen = response_a if winner == "A" else response_b
        rejected = response_b if winner == "A" else response_a

        pairs.append({
            "prompt": example["input"],
            "chosen": chosen,
            "rejected": rejected,
        })

    print(f"Generated {len(pairs)} DPO pairs from {len(eval_set)} examples "
          f"({len(eval_set) - len(pairs)} ties skipped)")
    return pairs

Multi-Judge Ensemble

Use multiple judge models for higher reliability:

def multi_judge_compare(user_input, response_a, response_b, task_description, criteria,
                        judges=None):
    """Use multiple judge models and take majority vote."""
    judges = judges or ["gpt-4o", "claude-sonnet-4-5-20250929"]
    votes = []

    for judge in judges:
        winner = pairwise_compare(
            user_input, response_a, response_b,
            task_description, criteria, model=judge
        )
        votes.append(winner)

    # Majority vote
    from collections import Counter
    vote_counts = Counter(votes)
    majority = vote_counts.most_common(1)[0]

    return {
        "winner": majority[0],
        "confidence": majority[1] / len(votes),
        "votes": dict(vote_counts),
        "judge_details": list(zip(judges, votes)),
    }

Quick Start Checklist

1. Define criteria: Write a rubric specific to your task
2. Prepare eval set: 100+ held-out examples with production inputs
3. Generate responses: Run both models on the eval set
4. Run pairwise comparison: With position bias mitigation
5. Check significance: Bootstrap CI on win rate
6. Decision gate: Student wins > 50% -> proceed to deploy
7. Save preference data: Use ties and wins for DPO training