fairlearn.metrics.equalized_odds_ratio(y_true, y_pred, *, sensitive_features, method='between_groups', sample_weight=None)[source]#

Calculate the equalized odds ratio.

The smaller of two metrics: true_positive_rate_ratio and false_positive_rate_ratio. The former is the ratio between the smallest and largest of \(P[h(X)=1 | A=a, Y=1]\), across all values \(a\) of the sensitive feature(s). The latter is defined similarly, but for \(P[h(X)=1 | A=a, Y=0]\). The equalized odds ratio of 1 means that all groups have the same true positive, true negative, false positive, and false negative rates.

Read more in the User Guide.

  • y_true (array-like) – Ground truth (correct) labels.

  • y_pred (array-like) – Predicted labels \(h(X)\) returned by the classifier.

  • sensitive_features (array-like) – The sensitive features over which demographic parity should be assessed

  • method (str) – How to compute the differences. See fairlearn.metrics.MetricFrame.ratio() for details.

  • sample_weight (array-like) – The sample weights


The equalized odds ratio

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