Comparative Analysis of Evolving Software Systems Using the Gini Coefficient

Software metrics offer us the promise of distilling useful information from vast amounts of software in order to track development progress, to gain insights into the nature of the software, and to identify potential problems. Unfortunately, however, many software metrics exhibit highly skewed, non-Gaussian distributions. As a consequence, usual ways of interpreting these metrics --- for example, in terms of "average" values --- can be highly misleading. Many metrics, it turns out, are distributed like wealth --- with high concentrations of values in selected locations. We propose to analyze software metrics using the Gini coefficient, a higher-order statistic widely used in economics to study the distribution of wealth. Our approach allows us not only to observe changes in software systems efficiently, but also to assess project risks and monitor the development process itself. We apply the Gini coefficient to numerous metrics over a range of software projects, and we show that many metrics not only display remarkably high Gini values, but that these values are remarkably consistent as a project evolves over time.

Gini coefficient, dissimilarity index and Lorenz curve for the spanish port system by type of goods

This paper shows the Gini Coefficient, the dissimilarity Index and the Lorenz Curve for the Spanish Port System by type of goods from 1960 to the year 2010 for business units: Total traffic, Liquid bulk cargo, Solid bulk cargo, General Merchandise and Container (TEUs) with the aim of carcaterizar the Spanish port systems in these periods and propose future strategies.

An R script to plot the conditioned Gini (or skewness) coefficient in the bivariate case

In the cs.index.zip file we provide an R script which let us plot the conditioned Gini (or skewness) coefficient used in the working paper entitled "On conditional skewness with applications in environmental data" submitted to Environmental and Ecological Statistics. On the other hand, the ReadMe.pdf explains how to use the cs.index.R script.

Aportes para examinar las desigualdades educativas en los grandes centros urbanos : El uso del coeficiente de Gini para analizar la distribución del abandono escolar entre las escuelas secundarias de la Ciudad Autónoma de Buenos Aires

La Ley de Educación Nacional promulgada en 2006 en Argentina establece la obligatoriedad de la educación secundaria en todo el país, la Ciudad Autónoma de Buenos Aires ha sido pionera al respecto estableciendo esta meta en el año 2002. En este marco, se propone analizar los desafíos que este tipo de política enfrenta en la actualidad, centrando la atención en la capacidad de los sistemas e instituciones educativas para garantizar este derecho en términos de acceso, permanencia y promoción de los alumnos en el nivel secundario. Este trabajo tiene por objeto plantear un ejercicio de análisis del abandono escolar que ocurre durante el ciclo lectivo en las escuelas a partir de la consideración del análisis del porcentaje de alumnos "salidos sin pase", e incorporar, a la vez, una medida de dispersión (coeficiente de Gini) que permita visibilizar las desigualdades entre escuelas a nivel territorial en la Ciudad Autónoma de Buenos Aires

Aportes para examinar las desigualdades educativas en los grandes centros urbanos : El uso del coeficiente de Gini para analizar la distribución del abandono escolar entre las escuelas secundarias de la Ciudad Autónoma de Buenos Aires

La Ley de Educación Nacional promulgada en 2006 en Argentina establece la obligatoriedad de la educación secundaria en todo el país, la Ciudad Autónoma de Buenos Aires ha sido pionera al respecto estableciendo esta meta en el año 2002. En este marco, se propone analizar los desafíos que este tipo de política enfrenta en la actualidad, centrando la atención en la capacidad de los sistemas e instituciones educativas para garantizar este derecho en términos de acceso, permanencia y promoción de los alumnos en el nivel secundario. Este trabajo tiene por objeto plantear un ejercicio de análisis del abandono escolar que ocurre durante el ciclo lectivo en las escuelas a partir de la consideración del análisis del porcentaje de alumnos "salidos sin pase", e incorporar, a la vez, una medida de dispersión (coeficiente de Gini) que permita visibilizar las desigualdades entre escuelas a nivel territorial en la Ciudad Autónoma de Buenos Aires

Aportes para examinar las desigualdades educativas en los grandes centros urbanos : El uso del coeficiente de Gini para analizar la distribución del abandono escolar entre las escuelas secundarias de la Ciudad Autónoma de Buenos Aires

La Ley de Educación Nacional promulgada en 2006 en Argentina establece la obligatoriedad de la educación secundaria en todo el país, la Ciudad Autónoma de Buenos Aires ha sido pionera al respecto estableciendo esta meta en el año 2002. En este marco, se propone analizar los desafíos que este tipo de política enfrenta en la actualidad, centrando la atención en la capacidad de los sistemas e instituciones educativas para garantizar este derecho en términos de acceso, permanencia y promoción de los alumnos en el nivel secundario. Este trabajo tiene por objeto plantear un ejercicio de análisis del abandono escolar que ocurre durante el ciclo lectivo en las escuelas a partir de la consideración del análisis del porcentaje de alumnos "salidos sin pase", e incorporar, a la vez, una medida de dispersión (coeficiente de Gini) que permita visibilizar las desigualdades entre escuelas a nivel territorial en la Ciudad Autónoma de Buenos Aires

Practical Modified Gini Index. ACES Working Papers, 2012

The Gini index is the most common method for estimating the level of income inequality in countries. In this paper we suggest a simple modification that takes into account the moderating effect of in-kind government benefits. Unlike other studies that use micro level data that is rarely available for many countries or over a period of time, the proposed modified Gini index could be calculated using just the regularly available data for each country. Such data includes the original Gini coefficient, government consumption expenditures, GDP and total tax revenue as a percentage of GDP. This modified version of the Gini index allows us to calculate the level of inequality more precisely, and make better comparisons between countries and over time.

Is size structure a good measure of future trends of plant populations? an empirical approach using five woody species from the Cerrado (Brazilian savanna)

Size distributions in woody plant populations have been used to assess their regeneration status, assuming that size structures with reverse-J shapes represent stable populations. We present an empirical approach of this issue using five woody species from the Cerrado. Considering count data for all plants of these five species over a 12-year period, we analyzed size distribution by: a) plotting frequency distributions and their adjustment to the negative exponential curve and b) calculating the Gini coefficient. To look for a relationship between size structure and future trends, we considered the size structures from the first census year. We analyzed changes in number over time and performed a simple population viability analysis, which gives the mean population growth rate, its variance and the probability of extinction in a given time period. Frequency distributions and the Gini coefficient were not able to predict future trends in population numbers. We recommend that managers should not use measures of size structure as a basis for management decisions without applying more appropriate demographic studies.

Inequalities in the distribution of dental caries among 12-year-old Brazilian schoolchildren

We assessed the inequality in the distribution of dental caries and the association between indicators of socioeconomic status and caries experience in a representative sample of schoolchildren. This study followed a cross-sectional design, with a sample of 792 schoolchildren aged 12 years, representative of this age group in Santa Maria, RS, Brazil. Guardians answered questions on socioeconomic status and a dental examination provided information on the dental caries experience (DMF-T). Inequality in dental caries distribution was measured by the Gini coefficient and the Significant Caries Index (SiC). The assessment of association used Poisson regression models. Socioeconomic factors were associated with prevalence of dental caries for the whole sample and also for individuals with a high-caries level. Children from low-income households had the highest prevalence of dental caries. The Gini coefficient was 0.7 and the SiC Index 2.5. The percentage of caries prevalence was 39.3% (95% CI: 35.8%-42.8%) and the mean for DMF-T was 0.9 (± SD 1.5). Inequalities in the distribution of dental caries were observed and socioeconomic factors were found to be strong predictors of the prevalence of oral disease in children of this age group.

Dispersão de preços e concorrência no mercado de transporte aéreo intraeuropeu : uma análise empírica

Dissertação de Mestrado em Ciências Económicas e Empresariais.

Beyond the income inequality hypothesis and human health: a worldwide exploration

OBJECTIVE: To analyze whether the relationship between income inequality and human health is mediated through social capital, and whether political regime determines differences in income inequality and social capital among countries. METHODS: Path analysis of cross sectional ecological data from 110 countries. Life expectancy at birth was the outcome variable, and income inequality (measured by the Gini coefficient), social capital (measured by the Corruption Perceptions Index or generalized trust), and political regime (measured by the Index of Freedom) were the predictor variables. Corruption Perceptions Index (an indirect indicator of social capital) was used to include more developing countries in the analysis. The correlation between Gini coefficient and predictor variables was calculated using Spearman's coefficients. The path analysis was designed to assess the effect of income inequality, social capital proxies and political regime on life expectancy. RESULTS: The path coefficients suggest that income inequality has a greater direct effect on life expectancy at birth than through social capital. Political regime acts on life expectancy at birth through income inequality. CONCLUSIONS: Income inequality and social capital have direct effects on life expectancy at birth. The "class/welfare regime model" can be useful for understanding social and health inequalities between countries, whereas the "income inequality hypothesis" which is only a partial approach is especially useful for analyzing differences within countries.

Cause-specific mortality and income inequality in São Paulo, Brazil

OBJECTIVE: To analyze cause-specific mortality rates according to the relative income hypothesis. METHODS: All 96 administrative areas of the city of São Paulo, southeastern Brazil, were divided into two groups based on the Gini coefficient of income inequality: high (>0.25) and low (<0.25). The propensity score matching method was applied to control for confounders associated with socioeconomic differences among areas. RESULTS: The difference between high and low income inequality areas was statistically significant for homicide (8.57 per 10,000; 95%CI: 2.60;14.53); ischemic heart disease (5.47 per 10,000 [95%CI 0.76;10.17]); HIV/AIDS (3.58 per 10,000 [95%CI 0.58;6.57]); and respiratory diseases (3.56 per 10,000 [95%CI 0.18;6.94]). The ten most common causes of death accounted for 72.30% of the mortality difference. Infant mortality also had significantly higher age-adjusted rates in high inequality areas (2.80 per 10,000 [95%CI 0.86;4.74]), as well as among males (27.37 per 10,000 [95%CI 6.19;48.55]) and females (15.07 per 10,000 [95%CI 3.65;26.48]). CONCLUSIONS: The study results support the relative income hypothesis. After propensity score matching cause-specific mortality rates was higher in more unequal areas. Studies on income inequality in smaller areas should take proper accounting of heterogeneity of social and demographic characteristics.

The changing distribution of malaria in the Brazilian Amazon, 2003-2004 and 2008-2009

Introduction More than half of the malaria cases reported in the Americas are from the Brazilian Amazon region. While malaria is considered endemic in this region, its geographical distribution is extremely heterogeneous. Therefore, it is important to investigate the distribution of malaria and to determine regions whereby action might be necessary. Methods Changes in malaria indicators in all municipalities of the Brazilian Amazon between 2003-2004 and 2008-2009 were studied. The malaria indicators included the absolute number of malaria cases and deaths, the bi-annual parasite incidence (BPI), BPI ratios and differences, a Lorenz curve and Gini coefficients. Results During the study period, mortality from malaria remained low (0.02% deaths/case), the percent of municipalities that became malaria-free increased from 15.6% to 31.7%, and the Gini coefficient increased from 82% to 87%. In 2003, 10% of the municipalities with the highest BPI accumulated 67% of all malaria cases, compared with 2009, when 10% of the municipalities (with the highest BPI) had 80% of the malaria cases. Conclusions This study described an overall decrease in malaria transmission in the Brazilian Amazon region. As expected, an increased heterogeneity of malaria indicators was found, which reinforces the notion that a single strategy may not bring about uniformly good outcomes. The geographic clustering of municipalities identified as problem areas might help to define better intervention methods.

Classical horizontal inequity and reranking: an integrated approach

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have generated two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands. This is achieved using a measure of inequality that merges the well-known Gini coefficient and Atkinson indices, and that allows a decomposition of the total redistributive effect of taxes and transfers in a vertical equity effect and a loss of redistribution due to either classical HI or reranking. An inequality-change approach and a money-metric cost-of-inequality approach are developed. The latter approach makes aggregate classical HI decomposable across groups. As in recent work, equals are identified through a nonparametric estimation of the joint density of gross and net incomes. An illustration using Canadian data from 1981 to 1994 shows a substantial, and increasing, robust erosion of redistribution attributable both to classical HI and to reranking, but does not reveal which of reranking or classical HI is more important since this requires a judgement that is fundamentally normative in nature.

Income stratification and between-group inequality

The paper demonstrates that the ratio of the Yitzhaki (1994) to the conventional measure of between-group inequality is in general equal to one minus twice the weighted average probability that a random member of a richer (on average) group is poorer than a random member of a poorer (on average) group, and may therefore be interpreted as an index of stratification in its own right.