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Probability and Bayes · Lesson 32

Check Whether Probabilities Are Calibrated

Among deliveries given a 70% late risk, far fewer are actually late.

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Check Whether Probabilities Are Calibrated explained visually

1:05

Among deliveries given a 70% late risk, far fewer are actually late. English captions are optional and start off. The complete transcript follows the written lesson.

Lesson overview

What you will learn

Among deliveries given a 70% late risk, far fewer are actually late.

  1. A practical question
  2. The useful idea
  3. Work through the example
  4. Limits and next step
01

A practical question

The model gives a set of deliveries a seventy-percent late risk. In the held-out data, only about forty percent of those trips are late. The model may rank difficult trips ahead of easy ones, yet it is overconfident about their probabilities.

02

The useful idea

Calibration compares predicted risk with observed frequency across groups of predictions. Gather enough cases in several score ranges and report their counts. Small groups can fluctuate widely, so don't claim precise calibration from a handful of deliveries.

03

Work through the example

Plot or tabulate the predicted and observed rates. If the mismatch matters to decisions, fit a calibration step using separate validation data and test it on untouched data. A calibrated risk can still be wrong for one trip; it describes frequencies across comparable cases.

04

Limits and next step

Next, we'll connect those probabilities to practical mistakes using a confusion matrix.

Worked example

Group validation predictions near 0.7 and compare with their actual late fraction.

Knowledge check

Quick check: test your understanding

Try it yourself: In the situation described above, explain the method and one reason its output might be misleading.

Check the reasoning

Calibration asks whether predicted frequencies match observed frequencies on held-out data. Good ranking and good calibration are different qualities.

What is the main idea behind check whether probabilities are calibrated?

Calibration asks whether predicted frequencies match observed frequencies on held-out data.

How is it used in the example?

Group validation predictions near 0.7 and compare with their actual late fraction.

What limitation should be checked?

Good ranking and good calibration are different qualities.

Further reading

Machine Learning — Tom M. Mitchell.

Original ToolsInVision teaching examples. Editorial approach · Suggest a correction

Accessible referenceLesson 32 transcript134 words · Video transcript · Matches the published narration and captionsOpen transcript

The model gives a set of deliveries a seventy-percent late risk. In the held-out data, only about forty percent of those trips are late. The model may rank difficult trips ahead of easy ones, yet it is overconfident about their probabilities.

Calibration compares predicted risk with observed frequency across groups of predictions. Gather enough cases in several score ranges and report their counts. Small groups can fluctuate widely, so don't claim precise calibration from a handful of deliveries.

Plot or tabulate the predicted and observed rates. If the mismatch matters to decisions, fit a calibration step using separate validation data and test it on untouched data. A calibrated risk can still be wrong for one trip; it describes frequencies across comparable cases.

Next, we'll connect those probabilities to practical mistakes using a confusion matrix.