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What is Youden's J statistic and how is it used?

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Answer

  • J = sensitivity + specificity - 1.
  • It's the vertical distance from the ROC curve to the diagonal at a given operating point.
  • The threshold that maximizes J is the 'Youden optimal' operating point — often used in medical statistics to pick a screening cutoff that balances sensitivity and specificity.
  • Assumes equal cost of FP and FN — use cost-weighted variants when they differ.
Check yourself — multiple choice
  • J = precision + recall
  • J = sensitivity + specificity − 1; the optimal J point on the ROC balances the two
  • J is always 0
  • J is only defined for regression

Youden's J = sens + spec − 1. Optimal threshold when FP and FN cost equally.

#metrics#classification#calibration

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