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Topic: Classification & Regression When selecting a decision tree split criterion, which is a reason to choose Gain Ratio over Information Gain? (Select ANY correct answer) A. you have polynominal attributes with many values. B. you need to get the fastest runtime (Gain Ratio always has a shorter runtime than Information Gain). C. you have a relatively small data set (they will both take similar time to run but Gain Ratio always gives better performance over Information Gain). D. you want a criterion that takes Information Gain, and adjusts it for each attribute based on the number of possible values.

Question

Topic: Classification & Regression

When selecting a decision tree split criterion, which is a reason to choose Gain Ratio over Information Gain? (Select ANY correct answer)

A. you have polynominal attributes with many values. B. you need to get the fastest runtime (Gain Ratio always has a shorter runtime than Information Gain). C. you have a relatively small data set (they will both take similar time to run but Gain Ratio always gives better performance over Information Gain). D. you want a criterion that takes Information Gain, and adjusts it for each attribute based on the number of possible values.

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Solution

The correct answer is D.

The Gain Ratio is a modification of the Information Gain that reduces its bias on high-valued attributes. It takes into account not only the Information Gain, but also the split information value of each attribute, which is based on the number of possible values. Therefore, it adjusts the Information Gain for each attribute based on the number of possible values. This makes it a better choice when you want a criterion that considers this factor.

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