In this paper i present a new stata command called lorenz that estimates lorenz and concentration curves from individuallevel. Sort order in graph box, over by previous by thread. If x is a random variable, for any positive number c the random variable c x has the same lorenz curve as x. Statistical software components s456515, department of economics, boston college. To construct the loren curve where population are ordered in descending order of varname i typed. In this paper i present a new stata command called lorenz that estimates lorenz and concentration curves from individuallevel data and, optionally, displays the results in a graph. The gini coefficient is a value between zero and one, in which zero represents. If x is a random variable with lorenz curve l x f, then. In economics, the lorenz curve is a graphical representation of the distribution of income or of.
Editor with autoit now also running from start to cursor position. All you have to do is to figure out which of the billions packages available on cran ok. For future reference, you might want to use scsomersd rather than somersd to calculate the gini coefficient with confidence limits. Stata module to estimate and display lorenz curves. Along with the lorenz curve, the gini coefficient gastwirth 1972 is another widely used measure of inequality. Stata module to produce pens parade, lorenz and generalised lorenz curve, statistical software components s456749, boston college department of economics, revised apr 2020. Per calcolare il rapporto di concentrazione occorrono invece altri dati. Focus here on estimation of lorenz curve and related concepts. Abstract lorenz and concentration curves are widely used tools in inequality research.
I could find it under chart wizard in another version. Stata module to estimate and display lorenz curves and. Using lorenz curves, the gini coefficient is defined as the ratio of the area between the diagonal and the lorenz curve and the area of the whole triangle under the diagonal. Appropriate software previously unavailable but is now. Creating a lorenz curve from excel university of washington. Despite their frequent use in inequality research literature, stata does not offer. Hello there, actually i am trying to compare lorenz curves 3 different incomes and i want to construct the line of 45 grades. Statistical software components s366002, department of economics.
If you type, in stata, findit lorenz then you will find a choice of programs to plot a lorenz curve. The lorenz curve is invariant under positive scaling. To construct the loren curve where population are ordered in descending order of varname i. Stata, lorenz, lorenz curve, concentration curve, inequality, income distribution. Stata module to estimate and display lorenz curves and concentration curves, statistical software components s4583, boston. Estimating lorenz and concentration curves in stata. The lorenz curve is a graphical statistic that was first introduced in 1905 as a tool for exhibiting the concentration of wealth in a population. Stata program atkinson, inequal, lorenz, relsgini these four adofiles provide a variety of measures of inequality. The scsomersd package is downloadable from ssc, and calculates the gini coefficient in one line, as. The stata code run but my problem is that the graph is wrong, because all incomes appear as straight lines i mean over y axis and those dont look as curves under line 45 that i was created. This module should be installed from within stata by typing ssc install lorenz. Users of the r data analysis software can install the ineq package which allows.
Estimation and interpretation of measures of inequality. I found a way to quickly visualize the lorenz curve with ggplot2, resulting in a more aesthetic and easiertointerpret graphic. You can do anything pretty easily with r, for instance, calculate concentration indexes such as the gini index or display the lorenz curve dedicated to my students although i did not explain it during my lectures, calculating a gini index or displaying the lorenz curve can be done very easily with r. I have to construct a single graph whit lorenz curve of varname, lorenz curve of varname where population are ordered in descending order of varname and a 45 line. This module should be installed from within stata by typing ssc install alorenz. Is it possible that there isnt such option on this version.
Lorenz curve 0 10 20 30 40 50 60 70 80 90 100 0 1020 3040 5060 708090 100 cumulative % population cumulative % income. Suppose that n observations patient visits are dispersed among n experimental units physicians. The lorenz command supports relative as well as generalized, absolute, unnormalized, or customnormalized lorenz or concentration curves, and provides tools for. Stata module to estimate and display lorenz curves and concentration curves, statistical software components s4583, boston college department of economics, revised 15 jun 2018. In this context members of the population are ranked in terms of their wealth and the cumulative wealth is plotted on the yaxis against the cumulative proportion of the population on the xaxis.
Lorenz in 1905 for representing inequality of the wealth distribution the curve is a graph showing the proportion of overall income or wealth assumed by the bottom x% of the people, although this is not rigorously true for a finite population see below. The concentration curve is the bivariate analogue of the lorenz curve. For this latter reason, i mirrored the lorenz curve on the diagonal line which results in a more intuitive form, if you ask me. Lorenz and concentration curves are widely used tools in inequality research. Estimating the empirical lorenz curve and gini coefficient. Relative as well as generalized, absolute, unnormalized, or customnormalized lorenz or concentration curves are supported, and tools for computing contrasts between different subpopulations or outcome variables are provided. Esercizio di statistica sulla curva di lorenz e indice di. Hello, is it possible to construct a lorenz curve of a varname computed whit a population ordered in descending order of varname. Pdf the estimation of the lorenz curve and gini index. Nov 18, 2010 i presume that you want to produce a lorenz curve. Although i did not explain it during my lectures, calculating a gini index or displaying the lorenz curve can be done very easily with r. No 15, university of bern social sciences working papers from university of bern, department of social sciences abstract. I would like to draw a lorenz curve and calculate a gini index with the objective to determine how much parasites does the top 20% most infected hosts support here is my data set.
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