When using in machine learning, a common metric that we use to assess the quality of the model is the F1 Score.
This metric is calculated as:
F1 Score = 2 * (Precision * Recall) / (Precision + Recall)
- Precision: Correct positive predictions relative to total positive predictions
- Recall: Correct positive predictions relative to total actual positives
For example, suppose we use a logistic regression model to predict whether or not 400 different college basketball players get drafted into the NBA.
The following confusion matrix summarizes the predictions made by the model:
Here is how to calculate the F1 score of the model:
Precision = True Positive / (True Positive + False Positive) = 120/ (120+70) = .63157
Recall = True Positive / (True Positive + False Negative) = 120 / (120+40) = .75
F1 Score = 2 * (.63157 * .75) / (.63157 + .75) = .6857
The following example shows how to calculate the F1 score for this exact model in Python.
Example: Calculating F1 Score in Python
The following code shows how to use the f1_score() function from the sklearn package in Python to calculate the F1 score for a given array of predicted values and actual values.
import numpy as np from sklearn.metrics import f1_score #define array of actual classes actual = np.repeat([1, 0], repeats=[160, 240]) #define array of predicted classes pred = np.repeat([1, 0, 1, 0], repeats=[120, 40, 70, 170]) #calculate F1 score f1_score(actual, pred) 0.6857142857142857
We can see that the F1 score is 0.6857. This matches the value that we calculated earlier by hand.
Notes on Using F1 Scores
If you use F1 score to compare several models, the model with the highest F1 score represents the model that is best able to classify observations into classes.
For example, if you fit another logistic regression model to the data and that model has an F1 score of 0.75, that model would be considered better since it has a higher F1 score.