Research Note

Probability Calibration Practice

A calibrated forecaster's events assigned 70 percent should occur about 70 percent of the time across a sufficiently comparable set. One outcome cannot establish calibrat

Aug 4, 20261 min readBy Dalton Anderson
In this article

Probability Calibration Practice

A calibrated forecaster's events assigned 70 percent should occur about 70 percent of the time across a sufficiently comparable set. One outcome cannot establish calibration.

Useful practice starts with clearly defined, time-bounded, resolvable questions. Record one probability before the outcome, preserve the definition, and score comparable forecasts later.

The Brier score for a binary forecast is the squared difference between the forecast probability and the observed result, averaged across forecasts. Lower is better in the common binary formulation. A score combines calibration and resolution, so it should not be interpreted alone.

Probability language should not create false precision. Use evidence, base rates, assumptions, and ranges where appropriate. Update a forecast when evidence changes, but preserve the earlier forecast and reason for the update.

Sources

Follow the evidence.

  1. WSOP report on the 2010 heads-up championshipwsop.com
  2. Outcome-bias replication and extensionspmc.ncbi.nlm.nih.gov
  3. Brier probability-forecast verification paperjournals.ametsoc.org
  4. WSOP official media guidewsop.com
  5. Thinking in Bets publisher recordpenguinrandomhouse.com
  6. WSOP Tournament of Champions historywsop.com
  7. Prospective hindsight studyonlinelibrary.wiley.com
  8. Outcome bias in decision evaluationpubmed.ncbi.nlm.nih.gov
  9. NFL account of the Malcolm Butler interceptionnfl.com
  10. Spotify episodeopen.spotify.com

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