Which of the following metric(s) is(are) sample ratio invariant? (Sample ratio i

Question

Which of the following metric(s) is(are) sample ratio invariant? (Sample ratio invariant means the value of metric will not be impacted by the sample ratio, i.e., the number of positive samples vs. the negative samples.) a. True Positive Rate. b. True Negative Rate. c. Accuracy d. False Negative Rate e. fraction numerator begin display style fraction numerator T P over denominator T P plus space F N end fraction end style over denominator begin display style fraction numerator F P over denominator F P space plus space T N end fraction end style end fraction where TP - True Positive Number FP - False Positive Number TN - True Negative Number FN - False Negative Number f. F1 Measure (F1 Score). g. False Positive Rate h. Precision.

Explanation / Answer

a. True positive rate is not sample ratio invariant.

b. True negative rate is also not sample ratio invariant.

c. Accuracy is also not sample ratio invariant.

d. False negative rate is also not sample invariant.

e. This is sample ratio invariant

f. This is sample ratio invariant

g. False positive rate is not sample ratio invariant.

h. Precision is not sample ration invariant

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