# Is the F1 Score sensitive to the threshold?

Is the F1 score sensitive or indifferent to the threshold (for defining positive or negative)?

## 2 Answers

Yes, it is. The formula:

$$F_1 = \frac{2TP}{2TP + FP + FN}$$

There is no symmetry. You have only $$TP$$ in the nominator which means that $$F_1=0$$ if $$threshold=1$$.

Yes it is.

For an evaluation measure independent from the threshold, look at the Area Under the Curve (AUC).