# Weight by Chi Squared Statistic (AI Studio Core)

## Synopsis

This operator calculates the relevance of the attributes by computing for each attribute of the input ExampleSet the value of the chi-squared statistic with respect to the class attribute.## Description

The Weight by Chi Squared Statistic operator calculates the weight of attributes with respect to the class attribute by using the chi-squared statistic. The higher the weight of an attribute, the more relevant it is considered. Please note that the chi-squared statistic can only be calculated for nominal labels. Thus this operator can be applied only on ExampleSets with nominal label.

The chi-square statistic is a nonparametric statistical technique used to determine if a distribution of observed frequencies differs from the theoretical expected frequencies. Chi-square statistics use nominal data, thus instead of using means and variances, this test uses frequencies. The value of the chi-square statistic is given by

*X2 = Sigma [ (O-E)2/ E ] *

where *X2* is the chi-square statistic, *O* is the observed frequency and *E* is the expected frequency. Generally the chi-squared statistic summarizes the discrepancies between the expected number of times each outcome occurs (assuming that the model is true) and the observed number of times each outcome occurs, by summing the squares of the discrepancies, normalized by the expected numbers, over all the categories.

## Input

- example set (Data table)
This input port expects an ExampleSet. It is output of the Retrieve operator in the attached Example Process.

## Output

- weights (Attribute Weights)
This port delivers the weights of the attributes with respect to the label attribute. The attributes with higher weight are considered more relevant.

- example set (Data table)
ExampleSet that was given as input is passed without changing to the output through this port. This is usually used to reuse the same ExampleSet in further operators or to view the ExampleSet in the Results Workspace.

## Parameters

- normalize weightsThis parameter indicates if the calculated weights should be normalized or not. If set to true, all weights are normalized in range from 0 to 1.
- sort weightsThis parameter indicates if the attributes should be sorted according to their weights in the results. If this parameter is set to true, the order of the sorting is specified using the
*sort direction*parameter. - sort directionThis parameter is available only when the
*sort weights*parameter is set to true. This parameter specifies the sorting order of the attributes according to their weights. - number of binsThis parameter specifies the number of bins used for discretization of numerical attributes before the chi-squared test can be performed.

## Tutorial Processes

### Calculating the weights of the attributes of the Golf data set

The 'Golf' data set is loaded using the Retrieve operator. The Weight by Chi Squared Statistic operator is applied on it to calculate the weights of the attributes. All parameters are used with default values. The *normalize weights* parameter is set to true, thus all the weights will be normalized in range 0 to 1. The *sort weights* parameter is set to true and the *sort direction* parameter is set to 'ascending', thus the results will be in ascending order of the weights. You can verify this by viewing the results of this process in the Results Workspace.