Research guide · Probability
What does a win probability mean?
Understand probability estimates, calibration, uncertainty and why predictions should be checked against evidence and limitations.
Read the probability guideAIONORA · PLAY THE LONG GAME
Research & Tools
Explore the evidence behind probability forecasts. Free explainers and interactive resources on model quality, uncertainty and why a promising number is never the whole story.
Independent educational resources across football, basketball and tennis. No account required to read or use these materials.
Start with the fundamentals
Each resource explains one part of evaluating a forecast, without presenting examples as verified predictive performance.
Interactive tool · Model validation
Explore the Brier score
Change example forecasts and outcomes to see how probability accuracy is scored. The examples are illustrative, not proof of model skill.
Open the Brier score calculatorIllustrated example · Statistical reasoning
Why a 90% hit rate can still mislead
A transparent numerical example showing why percentage success alone does not describe the full outcome.
Read the exampleResearch note · Model limitations
Research and learning update
Read an archived research update discussing model checks, historical diagnostics and what has not yet been prospectively validated.
Read the research updateUnderstand the research status
Public research pages may describe candidate hypotheses, retrospective observations and methodological tests. These should not be confused with independently verified prospective performance.