Calibration and Model Checking
Advanced Statistical Methods
Ensuring Your Predictions Match Reality
Calibration is the bridge between raw model outputs and trustworthy predictions â ensuring that when a model says "80% probability," events actually occur about 80% of the time. In medicine, finance, and weather forecasting, miscalibrated probabilities lead to disastrous decisions.
- Medical diagnosis â Calibrated risk scores enable clinicians to trust and act on predicted probabilities
- Weather forecasting â Calibration ensures probabilistic forecasts are reliable and actionable
- Machine learning deployment â Well-calibrated models produce outputs that can be interpreted as true probabilities
Calibration transforms opaque model scores into probabilities you can stake decisions on.
What Is Calibration?
Brier Score â The Decomposition
The Brier score measures the mean squared error between predicted probabilities and observed outcomes:
Reliability Diagrams
The construction procedure:
- Bin predictions into intervals (e.g., )
- For each bin , compute
- Compute
- Plot for each bin and connect with lines