Binary Classification Example

BinaryClassification.txt

Sample Values:

Actual  Predicted
1       1
0       0
0       1
1       0
1       1
0       0
0       0
1       0

Metrics:

P = 4
N = 4
P' = 3
N' = 5

TP = 2
TN = 3
FP = 1
FN = 2

P + N = 8
TP + TN = 5
FP + FN = 3
TP + FN = P = 4
TN + FP = N = 4
TP + FP = P’ = 3
TN + FN = N’ = 5
ACC = (TP + TN)/(P + N) = 5/8 = 0.625

Recall/TPR = TP/P = 2/4 = 0.5
FNR = FN/P = 2/4 = 0.5
TNR = TN/N = 3/4 = 0.75
FPR = FP/N = 1/4 = 0.25
Precision/PPV = TP/P’ = 2/3 = 0.67
FDR = FP/P’ = 1/3 = 0.33
NPV = TN/N’ = 3/5 = 0.6
FOR = FN/N’ = 2/5 = 0.4

LR+ = TPR/FPR = 0.5/0.25 = 2
LR- = FNR/TNR = 0.5/0.75 = 0.67