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A misleading accuracy score

Foundation, about 6 minutes. Question R011.

Only 1% of 10,000 observations are positive. A classifier always predicts negative. What is its accuracy?

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Answer: 99% (99/100)

  1. There are 100 positive and 9,900 negative observations.
  2. Predicting negative every time correctly classifies the 9,900 negatives and misses all 100 positives.
  3. Accuracy is 9,900/10,000 = 99%, even though positive-class recall is zero.

Interview shortcut. Accuracy of the all-negative rule is 1 − prevalence.

Takeaway. Compare headline accuracy with the majority-class baseline.

In the app this has a follow-up where one thing about the setup changes. Try the follow-up.

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