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Numeracy · calibration

Calibrated Estimation Game

See a few seconds of dots, an image of buildings, or a weight. Estimate the quantity. We don't just check if you're right — we check whether your confidence matches your accuracy.

What makes this one different

A right answer with high confidence is the gold standard. A wrong answer with low confidence is honest. We compute a calibration score: when you're 80% confident, are you actually right 80% of the time? Most people are over-confident.

Type
Round 1 / 12
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Calibration curve

Ideal: the line follows the diagonal. Above the line = under-confident. Below = over-confident.

History

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What problem does it solve?

Most estimation exercises focus on accuracy: were you close? But being right by luck isn't the same as being right by judgment. Calibration — the relationship between confidence and accuracy — is a better signal of "good judgment." It's measured in forecasting tournaments (Good Judgment Project), intelligence analysis, and weather prediction.

Who is this for

How to interpret your results

Calibration score near 0 is excellent. Below 0.05 is great. Above 0.15 means your confidence doesn't match your accuracy.

Over-confident people say "90%" but are right only 70%. Under-confident people say "60%" but are right 80%. Both are bad calibration.

Limitations

  • 12 rounds is enough for a rough calibration curve, not a precise one. For research-grade, you'd want 50+ rounds.
  • Some question types (e.g., counting dots) are inherently easier to calibrate than others (e.g., distance to a far city). We mix types but a per-type breakdown is in the history.

FAQ

How is "close enough" defined?

Within a factor of 2 (i.e., your estimate is between half and double the truth). That's a standard "order-of-magnitude" looseness for sanity-check estimates.

Can I get better at calibration?

Yes — there's a strong literature showing calibration improves with feedback. The trick is to treat 70% confidence as "3 out of 10 times I'm wrong."