Question

Based on the confusion matrix below

Cluster Red Green Purple Black White Blue Total

#1 1 1 0 11 4 676 693
#2 27 89 333 827 253 33 1562
#3 326 465 8 105 16 29 949
Total 354 555 341 943 273 738 3204

a) Compute the entropy and clarity of each cluster and the overall clustering. Clarity must be computed as counting the number of the class which is the most frequent in cluster dividing by the total number.

b) Compute precision of the class "Blue" with respect to each cluster and overall clustering.

c) Compute recall of the class "Red" with respect to each cluster and overall clustering.