Summary Statistics - Gini Coefficient, Descriptive Statistics, Standard Deviation, Quartile, Summary Statistic, Central Tendency, Quantile (Paperback)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 46. Chapters: Gini coefficient, Descriptive statistics, Standard deviation, Quartile, Summary statistic, Central tendency, Quantile, Weighted mean, Range, Pareto index, Location parameter, Order statistic, Five-number summary, Average, Unbiased estimation of standard deviation, Mode, Theil index, L-moment, Covariance matrix, Mean difference, Percentile, Sample maximum and minimum, Statistical dispersion, Sample mean and sample covariance, Mid-range, Frequency distribution, Hoover index, Seven-number summary, Generalized entropy index, Studentized range, Polychoric correlation, Trimean, Mean reciprocal rank, Lorenz asymmetry coefficient, Robin Hood index, Higher-order statistics, Mean signed difference, Lexis ratio, D', Multiple of the median, Mean percentage error, Pseudomedian. Excerpt: The Gini coefficient is a measure of statistical dispersion developed by the Italian statistician and sociologist Corrado Gini and published in his 1912 paper "Variability and Mutability" (Italian: ). The Gini coefficient is a measure of the inequality of a distribution, a value of 0 expressing total equality and a value of 1 maximal inequality. It has found application in the study of inequalities in disciplines as diverse as sociology, economics, health science, ecology, chemistry, engineering and agriculture. It is commonly used as a measure of inequality of income or wealth. Worldwide, Gini coefficients for income range from approximately 0.23 (Sweden) to 0.70 (Namibia) although not every country has been assessed. Graphical representation of the Gini coefficient.The graph shows that the Gini is equal to the area marked 'A' divided by the sum of the areas marked 'A' and 'B' (that is, Gini = A/(A+B)). It is also equal to 2*A, as A+B = 0.5 (since the axes scale from 0 to 1).The Gini coefficient is usually defined mathematically based on the Lor...