## How to calculate gini index example

The Gini Index provides a measure of income or resource inequality within a For example, a Gini Index for consumption expenditure will typically be lower in  ▫Example: Credit Rating. ▫Example: Computer buyers. ▫ Attribute selection measure in Decision Trees. ▫ Construction of Decision Trees. ▫ Gain Ratio. ▫ Gini Index.

Gini Index. 2. Ratemaking. Homeowners Data. 3. Ordered Lorenz Curve and Gini Index. Ordered Lorenz The best actuarial example is the well-known credibility theory. In the context measure discrepancies between losses and premiums. gini. A Gini coefficient calculator in Python. Overview. This is a function that calculates the Gini coefficient of a numpy array. Gini coefficients are often used to   Here is an example of Computing Gini index: The decision tree algorithm of people who stayed and left respectively, calculate the Gini index for that node. Aug 11, 2003 some studies, Gini coefficient has been used to measure variability in Figure 1 shows an example of the Lorenz curves for three female life

## Apr 23, 2019 The video reinforces the Lorenz Curve, showing the examples of Norway and South Africa, and explains the Gini Coefficient calculation.

More generally, using Wikipedia’s words, the Gini coefficient is a “measure of statistical dispersion.” If you have come across the Gini coefficient outside of economics, probably in statistics or machine learning. For example, the Gini coefficient is used to determine node purity in decision tree models. Use of Gini index in data modelling. The Gini Coefficient or Gini Index measures the inequality among the values of a variable. Higher the value of an index, more dispersed is the data. Alternatively, the Gini coefficient can also be calculated as the half of the relative mean absolute difference. Once a Lorenz curve is constructed, calculating the Gini coefficient is pretty straightforward. The Gini coefficient is equal to A/(A+B), where A and B are as labeled in the diagram above. (Sometimes the Gini coefficient is represented as a percentage or an index, in which case it would be equal to (A/(A+B))x100%.) As you probably know already, the Gini index is the ratio of (1) the area of the “lens” lying between the Lorenz curve representing the cumulative share of income (or consumption) received (or spent) by the poorest p percent of the population and

### Here comes the need to measure the informativeness of the features and use the feature with the most information as the feature to split the data on. This

Example of Gini Coefficient Formula (with Excel Template) Step 1: Write the ‘Fraction of Income’ and ‘Fraction of Population’ data in tabular format in Excel. Step 2: Fill ‘% of Population that is richer’ column by adding all terms in ‘Fraction of Population’ below that row. For instance, in the Gini Coefficient Formula – Example #1. Let us take a simple example of a population of 20 people to understand the concept of the Gini coefficient. As per the given information, first 5 people made \$50 per month per person, the next 10 people made \$100 per month per person and the last 5 people made \$300 per month per person. Calculate the Gini coefficient for the population. The very last step of our calculation of the Gini is to divide by the area of the triangle which is ½. So: Area of Trapezoid / (1/2) = 2*Height*(Base at top + Base at bottom). Gini coefficient National Chengchi University. Including negative numbers means the lorenz curve briefly dips below zero, and it becomes possible to have a gini coefficient greater than 1 (for example,, a step-by-step procedure to calculate the gini index a numerical example of how to calculate the gini index inequality analysis: the gini index 5.

### Gini coefficient National Chengchi University. Including negative numbers means the lorenz curve briefly dips below zero, and it becomes possible to have a gini coefficient greater than 1 (for example,, a step-by-step procedure to calculate the gini index a numerical example of how to calculate the gini index inequality analysis: the gini index 5.

Aug 27, 2018 We've calculated gini index values for each feature. The winner will be outlook feature because its cost is the lowest. Feature, Gini index. Outlook  Calculate the Gini index on total disposable income for Finland and the US in 2000, after bottom- coding disposable income at 1 percent of its equivalised mean  Gini Index. 2. Ratemaking. Homeowners Data. 3. Ordered Lorenz Curve and Gini Index. Ordered Lorenz The best actuarial example is the well-known credibility theory. In the context measure discrepancies between losses and premiums. gini. A Gini coefficient calculator in Python. Overview. This is a function that calculates the Gini coefficient of a numpy array. Gini coefficients are often used to   Here is an example of Computing Gini index: The decision tree algorithm of people who stayed and left respectively, calculate the Gini index for that node.

## Can anyone send an worked out example of Gini index. Decision Trees How to determine the number of trees to be generated in Random Forest algorithm?

The very last step of our calculation of the Gini is to divide by the area of the triangle which is ½. So: Area of Trapezoid / (1/2) = 2*Height*(Base at top + Base at bottom). Gini coefficient National Chengchi University. Including negative numbers means the lorenz curve briefly dips below zero, and it becomes possible to have a gini coefficient greater than 1 (for example,, a step-by-step procedure to calculate the gini index a numerical example of how to calculate the gini index inequality analysis: the gini index 5. The formula for calculating the gini impurity of a data set or feature is as follows: J G(k) = Σ P(i) * (1 - P(i)) i=1 Where P(i) is the probability of a certain classification i , per the training data set. Once a Lorenz curve is constructed, calculating the Gini coefficient is pretty straightforward. The Gini coefficient is equal to A/(A+B), where A and B are as labeled in the diagram above. (Sometimes the Gini coefficient is represented as a percentage or an index, in which case it would be equal to (A/(A+B))x100%.) The Gini index would be: 1- [ (19/80)^2 + (21/80)^2 + (40/80)^2] = 0.6247 i.e. cost before = Gini(19,21,40) = 0.6247. In order to decide where to split, we test all possible splits. For example splitting at 2.0623, which results in a split (16,9,0) and (3,12,40):

Sep 24, 2019 The Gini coefficient, or Gini index, is a statistical measure of economic For example, according to the Gini coefficient, the District of Columbia  This number is the Gini index, and its formula is therefore. G = 2. ∫ 1. 0 x − L(x) dx. As an example, if L(x) = xp with p ≥ 1, we quickly calculate that G = p−1 p+1. Feb 13, 2020 If you are trying to find the Gini index rather than calculate it yourself*, know For example, in the 2004 edition, they are in table number 14. the trees have only 8.74% share of the basal area of the stand. Table 2.1: Simple example for the calculation of the Gini-index; The area under the Lorenz curve  Example of Gini Coefficient Formula (with Excel Template) Step 1: Write the ‘Fraction of Income’ and ‘Fraction of Population’ data in tabular format in Excel. Step 2: Fill ‘% of Population that is richer’ column by adding all terms in ‘Fraction of Population’ below that row. For instance, in the