Machine Learning For Beginners: Algorithms, Decision Tree & Random Forest Introduction by William Sullivan

Author:William Sullivan
Language: eng
Format: epub, azw3
Published: 2017-08-19T07:00:00+00:00

Decision Tree, Algorithm, Gini IndexSplit on Gender:

Calculate, Gini for sub-node Female = (0.2)*(0.2) + (0.8)*(0.8) =0.68

Gini for sub-node Male = (0.65)*(0.65) + (0.35)*(0.35) =0.55

Calculate weighted Gini for Split Gender = (10/30)*0.68 + (20/30)*0.55 = 0.59

Similar for Split on Class:

Gini for sub-node Class IX = (0.43)*(0.43) + (0.57)*(0.57) =0.51

Gini for sub-node Class X = (0.56)*(0.56) + (0.44)*(0.44) =0.51

Calculate weighted Gini for Split Class = (14/30)*0.51 + (16/30)*0.51 = 0.51

Above, you can see that Gini score for Split on Gender is higher than Split on Class, hence, the node split will take place on Gender.

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