Consider a node, t, in a decision tree. The set of training records in node t is Dt, which contains records from three different classes C1, C2, and C3. The class distribution is as follow:             Class                           Number of records               C1                                          x               C2                                          x               C3                                          2x What are the impurity measures of this node using Gini index and misclassification error?                              Gini index = Misclassification error =

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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  1. Consider a node, t, in a decision tree. The set of training records in node t is Dt, which contains records from three different classes C1, C2, and C3. The class distribution is as follow:

            Class                           Number of records

              C1                                          x

              C2                                          x

              C3                                          2x

What are the impurity measures of this node using Gini index and misclassification error?                             

Gini index =

Misclassification error =

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Step 1

Given data 

           Class                      Number of records

             C1                                  x

              C2                                 x

              C3                                 2x

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