The Confusion Matrix (Water Shortage in School) |
Reality: 1 |
Reality: 0 |
Prediction: 1 |
75 |
5 |
Prediction: 0 |
5 |
15 |
|
Reality: 1 |
Reality: 0 |
|
Prediction: 1 |
75 |
5 |
80 |
Prediction: 0 |
5 |
15 |
20 |
|
80 |
20 |
100 |
Calculation:
Accuracy: Accuracy is defined as the percentage of correct predictions out of all the observations.
Where True Positive (TP), True Negative (TN), False Positive (FP) and False Negative (FN).
= (75+15) / (75+15+5+5)
= (90 / 100)
=0.9
Precision: Precision is defined as the percentage of true positive cases versus all the cases where the prediction is true.
= 75 / (75+5)
= 75 /80
= 0.9375
Recall: It is defined as the fraction of positive cases that are correctly identified.
= 75 / (75+5)
= 75 /80
= 0.9375
F1 Score: F1 score is defined as the measure of balance between precision and recall.
= 2 * ((0.9375 *0.9375) / (0.9375+0.9375)
Therefore
= 2 * (0.8789 / 1.875)
= 2 * 0.46875
= 0.9375
Accuracy= 0.9% Precision=0.9375% Recall=0.9375%
F1 Score=0.
Here precision, recall, accuracy, f1 score all are same