Agent skill

calibration-trainer

Probability calibration training skill for improving forecast accuracy and reducing overconfidence

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Install this agent skill to your Project

npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/business/decision-intelligence/skills/calibration-trainer

Metadata

Additional technical details for this skill

domain
business
category
collaboration
priority
medium
specialization
decision-intelligence
tools libraries
[
    "numpy",
    "matplotlib",
    "custom quiz engines"
]

SKILL.md

Calibration Trainer

Overview

The Calibration Trainer skill provides capabilities for assessing and improving forecaster calibration. It helps decision-makers align their confidence levels with actual accuracy, reducing overconfidence and improving the quality of probabilistic judgments.

Capabilities

  • Calibration quiz generation
  • Confidence interval elicitation
  • Brier score calculation
  • Calibration curve plotting
  • Overconfidence/underconfidence diagnosis
  • Training exercise management
  • Progress tracking over time
  • Benchmark comparison

Used By Processes

  • Cognitive Bias Debiasing Process
  • Decision Quality Assessment
  • Predictive Analytics Implementation

Usage

Calibration Quiz

python
# Generate calibration quiz
quiz_config = {
    "type": "general_knowledge",
    "format": "confidence_interval",
    "questions": 20,
    "confidence_levels": [50, 80, 90],  # percentiles to elicit
    "difficulty": "medium",
    "domains": ["business", "economics", "technology", "geography"]
}

# Example question
quiz_question = {
    "id": "Q001",
    "question": "In what year was Amazon founded?",
    "actual_answer": 1994,
    "format": "numeric_interval",
    "required_responses": [
        {"confidence": 50, "prompt": "Give your best estimate"},
        {"confidence": 80, "prompt": "Give a range you're 80% confident contains the answer"},
        {"confidence": 90, "prompt": "Give a range you're 90% confident contains the answer"}
    ]
}

Response Collection

python
# Collect responses
responses = {
    "participant": "John Smith",
    "date": "2024-01-15",
    "questions": [
        {
            "question_id": "Q001",
            "responses": {
                "point_estimate": 1997,
                "interval_80": [1995, 2000],
                "interval_90": [1992, 2002]
            }
        }
        # ... more questions
    ]
}

Calibration Analysis

python
# Analyze calibration
calibration_analysis = {
    "participant": "John Smith",
    "n_questions": 20,
    "by_confidence_level": {
        "80%_intervals": {
            "expected_hit_rate": 0.80,
            "actual_hit_rate": 0.55,
            "calibration_gap": -0.25,
            "interpretation": "overconfident"
        },
        "90%_intervals": {
            "expected_hit_rate": 0.90,
            "actual_hit_rate": 0.70,
            "calibration_gap": -0.20,
            "interpretation": "overconfident"
        }
    },
    "brier_score": 0.18,  # lower is better, 0 = perfect
    "overconfidence_index": 0.23,
    "recommendations": [
        "Widen confidence intervals by ~25%",
        "Practice with domain-specific questions",
        "Use reference class thinking"
    ]
}

Training Exercises

python
# Calibration training program
training_program = {
    "participant": "John Smith",
    "baseline_calibration": 0.55,  # hit rate for 80% intervals
    "target_calibration": 0.75,
    "exercises": [
        {
            "week": 1,
            "focus": "interval_widening",
            "exercise": "Practice giving intervals 50% wider than instinct",
            "quiz_count": 10
        },
        {
            "week": 2,
            "focus": "reference_class",
            "exercise": "For each estimate, identify a reference class first",
            "quiz_count": 10
        },
        {
            "week": 3,
            "focus": "decomposition",
            "exercise": "Break complex estimates into components",
            "quiz_count": 10
        },
        {
            "week": 4,
            "focus": "consolidation",
            "exercise": "Apply all techniques, track improvement",
            "quiz_count": 20
        }
    ]
}

Progress Tracking

python
# Track progress over time
progress_data = {
    "participant": "John Smith",
    "history": [
        {"date": "2024-01-01", "hit_rate_80": 0.55, "brier_score": 0.22},
        {"date": "2024-01-15", "hit_rate_80": 0.62, "brier_score": 0.19},
        {"date": "2024-02-01", "hit_rate_80": 0.68, "brier_score": 0.16},
        {"date": "2024-02-15", "hit_rate_80": 0.74, "brier_score": 0.13}
    ],
    "trend": "improving",
    "improvement_rate": "4% per session"
}

Input Schema

json
{
  "operation": "quiz|analyze|train|track",
  "quiz_config": {
    "type": "string",
    "format": "string",
    "questions": "number",
    "confidence_levels": ["number"]
  },
  "responses": {
    "participant": "string",
    "questions": ["object"]
  },
  "training_config": {
    "target_calibration": "number",
    "duration_weeks": "number"
  }
}

Output Schema

json
{
  "quiz": {
    "questions": ["object"],
    "total_count": "number"
  },
  "calibration_analysis": {
    "by_confidence_level": "object",
    "brier_score": "number",
    "overconfidence_index": "number",
    "calibration_curve": "object"
  },
  "recommendations": ["string"],
  "progress": {
    "history": ["object"],
    "trend": "string",
    "target_achieved": "boolean"
  }
}

Calibration Metrics

Metric Formula Interpretation
Hit Rate % of intervals containing true value Should match confidence level
Brier Score Mean squared error of probabilities Lower is better (0-1)
Calibration Gap Expected - Actual hit rate Positive = overconfident
Overconfidence Index Average calibration gap Quantifies overall bias

Calibration Curve

A well-calibrated forecaster has:

  • 50% intervals capturing truth 50% of the time
  • 80% intervals capturing truth 80% of the time
  • 90% intervals capturing truth 90% of the time

The calibration curve plots stated confidence vs. observed accuracy.

Best Practices

  1. Use feedback immediately after each quiz
  2. Track calibration separately by domain
  3. Focus on the most common confidence levels (80%, 90%)
  4. Practice regularly (weekly is better than monthly)
  5. Use domain-relevant questions for business applications
  6. Compare to well-calibrated benchmarks (superforecasters)
  7. Celebrate improvement, not just accuracy

Techniques to Improve Calibration

Technique Description
Widen intervals Start wider, narrow only with strong evidence
Reference classes Use base rates from similar situations
Decomposition Break estimates into components
Devil's advocate Actively seek reasons to be less confident
Pre-mortem Imagine being wrong, identify why

Integration Points

  • Feeds into Decision Quality Assessment
  • Connects with Risk Distribution Fitter for expert elicitation
  • Supports Debiasing Coach agent
  • Integrates with Reference Class Forecaster for base rate thinking

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