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Questions tagged [gini]

The Gini coefficient is used to measure income inequality and discriminatory power of a classifier. If everybody has the same income, Gini coefficient = 0. If one person has all the income, Gini coefficient = 1. All other values are somewhere in between.

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Can we use the Gini corefficient to calculate the standard deviation of an income distribution?

I have a question regarding the Gini coefficient. I want to know how I can calculate the $\%$ of people earning $x\$$ or less for a population in a country with a given mean income level. I know ...
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Comparing Gini coefficients: Variance estimation etc. needed?

In a project on software measurement, we plan to use aggregating statistics (e.g., Gini) to describe the concentration of certain observed program attributes (size) among program units (e.g., modules, ...
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SAS PROC LOGISTIC: Hosmer and Lemeshow test is good but Gini is bad?

I am using PROC LOGISTIC along with Class statements to do binary logit model(default=1,non-default=0) on a bank loan dataset ...
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How to compare two Gini results?

I'm comparing two Gini results from two distributions of income, in which one income is a source of the other. Let, say that Gini_1 = 0,770 and Gini_2 = 0,373. Clearly, Gini_2 shows a less inequal ...
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463 views

Comparing Gini coefficient of 2 distributions

I wonder if it is fair is to compare the gini coefficient of two discrete distributions with different number of elements. If not, how can I adjust the coefficients for a fair comparison. In ...
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Looking at two PDF plots, is it possible to guess which distribution has a greater Gini coefficient?

By observing the PDF of two different distributions over the same support (as in the image), is it possible to infer which PDF describes the distribution with the greater Gini coefficient? I assume ...
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Measuring relative variability for variables with different scales II

I'm reformulating this question to see if I might have better luck than OP did at encouraging a response. Consider that you have two univariate datasets at different scales, and need to establish ...
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Classification trees: contingency table and Gini index at split point (grouped categories)

I am working through chapter 14 of the book Applied predictive modeling (Kuhn, Max, and Kjell Johnson. Applied predictive modeling. Vol. 26. New York: Springer, 2013.). For tree models with categorial ...
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Gini index question

If a country A has a higher Gini index than country B, can you interpret this as that the income distribution in A is lower because of the higher inequality? So we would expect to see wealth being ...
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Gini coefficients : compare two samples with different sample sizes

I've two samples representing the distribution of tumor cell clones in two patient. In sample 1 I've about 10,000 clones - each clone has a relative abundance (so the sum of the relative abundance of ...
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Quantifying group homogeneity

I'm trying to find a way to quantify the homogeneity of a group. An example dataset is below, where group D, for example, has 5 members of type1, 1 member of type2, and 1 member of type3. Groups A ...
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117 views

How calculate Gini coefficient (unbiased) and Lorenz Curve with stratified sample?

I'm working with a stratified sample by minimum variance method with 3 levels that becomes at 1176 stratum. The sample comes from finite population of income taxes data. I'm looking for how calculate ...
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Correcting for season-length bias of Gini on win percentage

I made this plot to try and compare the competitiveness of the major US sports (NHL/NBA/MLB/NFL): Each point of a given color represents, for a given season, the Gini coefficient of the win ...
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Is it appropriate to compare sports with different-length seasons using Gini?

I made this plot to try and compare the competitiveness of the major US sports (NHL/NBA/MLB/NFL): Each point of a given color represents, for a given season, the Gini coefficient of the win ...
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127 views

Computing Gini Index

I'm trying to compute the Gini coefficient of the following table: ...
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397 views

Bootstrapping and comparing Gini coefficients

for my dissertation I need to compare the Gini coefficients of 5 different markets with approx. the sample population size. I would like to do bootstrapping to compare the means (instead of ...
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Arithmetic mean and Gini index in a grouped distribution

In the following table is represented the relative frequency distribution of 100 families related to the class of annual income (in thousands of dollars): ...
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318 views

Mapping gini index

In my model, there are 3 players, whose income is function of two arbitrary parameters. Say, ...
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Is it possible to derive the median of a distribution from the mean and Gini Index?

I have some data on GDP, population, and the Gini index for various countries, and I would like to derive some median metric. To put it more broadly, given the sum $\sum_{i=1}^{n} x_i$ and size $n$ ...
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Understanding Gini Coefficient Derivation in Credit Risk

I am interested in evaluating feature/characteristic importance in a credit risk scorecard. I found the following paper on using the Gini Coefficient for this purpose: http://www.rhinorisk.com/...
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Gini Index Formula

I've read many related articles and posts. The more I read, the more I got confused about 'Gini index' and 'Gini Impurity'. I understood the concept but it seems to me that these things are used ...
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How Gini/AUC of two features is bounded by individual features?

Consider binary classification problem and popular quality measure ROC AUC (which is almost the same as Gini coefficient G = 2*AUC - 1 ). Assume we have two features F1, F2. Question (rough version)...
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How to calculate the Gini coefficient from vectors of income rather than cumulative income?

I want to calculate the Gini coefficient of a dataset of assets for which I the cumulative share of the population $W$ and the monthly returns $Y$. $$G=1-\sum _{{k=0}}^{{n-1}}(X_{{k+1}}-X_{{k}})(...
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Calculate Gini coefficient by hand

I have been asked to calculate the Gini coefficient (dispersion of allocation weighting) in 18 sectoral ETFs with historical data available since 2000. Here is an excerpt: ...
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Gini index in classification tree

In Gareth etc.'s book "An introduction to statistical learning", when it's talking about Gini index, I clipped the paragraph in the following image: My question is the statement that "For this reason ...
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1answer
133 views

The reason why Gini index is in favor of multivalued attributes

I am a beginner in data science and I try to understand the similarity and dissimilarity between information gain and Gini index. In my lecture notes, the professor states one of disadvantage of Gini ...
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Lorenz Curve for Insurance Pure Premium

I'm testing various pure premium models and want to make a Lorenz curve to compare the models. The goal is to show underwriters which models are better. I'm not sure if I'm doing it correctly. I'm ...
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What does a high GINI in a random forest model imply?

I ran a classification problem using random forest to predict whether a customer will have more than zero revenue in the next 12 months. I am getting a gini of 95 and accuracy of 90% as well. I know ...
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How can I distill revenue diversity into a single number?

I have a dataset of revenue per customer per month. I want to have a measure of the diversity of this revenue, for which (to me) there are two aspects: More customers is better A more equal ...
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1answer
140 views

Interpreting MeanDecreaseGini graph in R

Using the randomForest package in R, I fitted a customer churn dataset to a random forest model. The first objective was to identify the most important variables in ...
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1answer
39 views

Gini coefficients - Accounting for firm exits

What is the appropriate way to measure the Gini coefficient over time in an industry where a large number of firms are exiting? Should the Gini coefficient be calculated using the initial number of ...
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112 views

Gini coefficient finite sample correction

I wanted to compute some gini coefficients for different populations of differents sizes. In R I used the ineq package containing a Gini coefficient implementation. One of the paramater (i.e. corr) ...
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198 views

What is the interval of Gini Index?

Suppose we have 2 classes. C1: 0 C2: 6 The Gini index is: $1−(0÷6)^2−(6÷6)^2 = 0$ C1: 3 C2: 3 The Gini Index is: $1−(3÷6)^...
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Gini index on data with error margins

I have data series and I want to calculate Gini coefficients for each row as an estimate of matrix sparsity. Hoever values contained in the rows are not exact and have error bounds. My question is ...
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Deducing an approximation to the Gini coefficient

Assuming we do not know the Lorenz curve function, If $(X_k, Y_k)$ are the known points on the Lorenz curve, with the $X_k$ indexed in increasing order $(X_{k – 1} < X_k)$, so that: $X_k$ is the ...