Intersecting generalized Lorenz curves and the Gini index

As is well known, the use of the Gini coefficient in comparisons is inconsistent with an utilitarian approach. This paper analyzes the Gini coefficient's normative significance in welfare comparisons evaluating income distributions according to Yaari dual social welfare function. When generalized Lorenz curves cross once, the Gini coefficient is decisive in determining welfare rankings if we strengthen the Principle of Transfers applying a Positional version of the Principle of Transfer Sensitivity. This result can also be extended to the case of multiple crossings. Received: 28 August 1996 / Accepted: 22 October 1997     

A Family of Correlation Coefficients Based on the Extended Gini Index

The extended Gini is a family of measures of variability which is mainly used in the areas of finance and income distribution. Each index in the family is defined by specifying one parameter, which reflects the social evaluation of the marginal utility of income. The higher the parameter, the more weight is attached to the lower portion of the cumulative distribution, reflecting higher concern for poverty. In this paper we list and investigate the properties of the equivalents of the correlation coefficient that are associated with the extended Gini family. In addition, we show that the extended Gini of a linear combination of random variables can be decomposed, in a way which is equivalent to the decomposition of the variance, with, in addition, terms that reflect additional properties of the random variables. The implication of these properties is that any decomposition that is performed with the coefficient of variation can be replicated by an infinite number of indices that are based on the Extended Gini coefficient.     

An extension of a theorem on the aggregation of separable preferences

An Excess-Voting Function relative to a profile π assigns to each pair of alternatives (x,y), the number of voters who prefer x to y minus the number of voters who prefer y to x. It is shown that any non-binary separable Excess-Voting Function can be achieved from a preferences profile when individuals are endowed with separable preferences. This result is an extension of Hollard and Le Breton (1996). Received: 16 December 1996 / Accepted: 8 October 1997     

中国人力资本存量结构的估算：基于教育基尼系数法

通过对中国31个省区1998～2008教育基尼系数的测算,描述了中国历年人力资本存量结构及变化规律：人力资本基尼系数和人力资本平均存量水平具有很高的负相关性,各区域人均受教育年限不断提高,人力资本基尼系数逐渐下降,但人力资本不平等的现状在三大区域间依然突出。     

A note on the redundancy of an axiom in the Pattanaik-Peleg characterization of the lexicographic maximin extension

P. K. Pattanaik and B. Peleg have provided an axiomatic characterization of the lexicographic maximin extension of an ordering over a finite set to an ordering over the set of all non-empty subsets of that set. This note shows that one of their axioms, namely the Union axiom, is redundant, thus obtaining a more economical characterization composed of the remaining four axioms (which are independent by virtue of the examples given by Pattanaik and Peleg).     

An assessment of occupational and organizational commitment: A multivariate analysis

Data from 120 park and forest rangers were used to empirically assess the relative impact of sociodemographic, attitudinal, and organizational factors on both occupational and organizational commitment. Through the use of multiple regression analysis, sociodemographic and attitudinal factors were shown generally to bear a positive relationship to both types of commitment. Upon further analysis of partials based on type of occupation, some specification of the original relationships was noted, thereby indicating a note of caution in generalizing findings concerning occupational and organizational commitment from one group of occupational practitioners to another.     

Intersecting Lorenz Curves, the Degree of Downside Inequality Aversion, and Tax Reforms

This paper clarifies the conceptual distinction of downside inequality aversion (or transfer sensitivity) as a normative criterion for judging income distributions from the Pigou-Dalton principle of transfers. We show that when the Lorenz curves of two income distributions intersect, how the change from one distribution to the other is judged by an inequality index exhibiting downside inequality aversion often depends on the relative strengths of its downside inequality aversion and inequality aversion. For additive inequality indices or their monotonic transformations, a measure characterizing the strength of an index’s downside inequality aversion against its inequality aversion is shown to determine the ranking by the index of two distributions whose Lorenz curves cross once. The precise condition under which the same result generalizes to the case of multiple-crossing Lorenz curves is also identified. The results are particularly useful in understanding the distributional impact of tax reforms. I received exceptionally helpful comments from Mike Hoy, Peter Lambert, the Editor, Buhong Zheng, and an anonymous referee. The remaining errors and shortcomings are my own – W.H. Chiu     

Political theater and student organizations in the 1989 Chinese movement: A multivariate analysis of Tiananmen

Social movement research has often been divided between organizational and cultural analyses of collective action. Organizationally oriented theorists have viewed indigenous organizational structure as the critical variable in the emergence of collective action. Political culture and cultural frame theorists have focused instead on the cultural frames that resonate with audiences, mobilizing them to action. But social movements cannot be the result of one or the other of these factors. An analysis of the 1989 Chinese movement illuminates the multivariate aspects of this social movement. This movement was a two-tiered movement with an organized student leadership tier and a mass audience. Enmeshed in university organizations and student networks, the student leaders relied on an organizational structure that had been emerging since the mid-1980s. This organized leadership tier employed cultural symbols and acts to mobilize mass audiences that were beyond the scope of the students' organizational linkages. The political theater of the organized student leaders was complemented by institutional changes that had been occurring over the decade of reform in China and a political opportunity that allowed wide coverage of the students' activities.     

A multivariate analysis of adverse childhood experiences and health behaviors and outcomes among college students

Objective: This study investigated associations between adverse childhood experiences (ACE) prior to age 18 years and multiple health behaviors (eg, cigarette and other substance use) and outcomes (eg, obesity, depression) for a large college sample. Participants: 2,969 college students from seven universities in the state of Georgia were included in the analysis. Methods: Web-based surveys were completed by students (45–60 minutes) during the spring semester, 2015. Results: Findings indicate that more ACEs are associated with higher levels of depressive symptoms, ADHD symptoms, cigarette use, alcohol use, marijuana use, and BMI, in addition to lower levels of fruit and vegetable intake, and sleep. Conclusion: ACEs may carry forward in the lifespan to influence a range of unhealthy outcomes among college students. College intervention programs may benefit by recognizing the pervasiveness of ACEs and their associations with health behaviors and outcomes, and include interventions across more than one health behavior.     

Characterizations of egalitarian binary relations as transitive closures with a special reference to Lorenz dominance and to single-crossing conditions

This article considers, in the context of the fixed-population constant-sum comparison of income distributions, a number of intransitive binary relations smaller than Lorenz dominance. We determine their transitive closure, and we study how they relate to each other and to other relations that have appeared in the literature. Among other results, we provide alternative characterizations of Lorenz dominance.     

The longitudinal effects of parental monitoring and self-control on depression in Korean adolescents: A multivariate latent growth approach

The purpose of this study was to examine the longitudinal effects of parental monitoring and self-control on depression. To address this purpose, this study investigated the interrelationships among depression, perceived parental monitoring, and self-control—as well as their developmental changes from the eighth to the twelfth grades—by repeated assessment of 3449 Korean adolescents. The data from Korea Youth Panel Survey (KYPS) of the eighth graders who were followed for five years were analyzed using latent growth modeling. The univariate latent growth models showed that adolescents experience an increase in both parental monitoring and self-control but a decline in depression over the five years. In addition, the multivariate latent growth model suggested that the initial level of parental monitoring had significant effects, both directly and indirectly through self-control, on the initial level of depression. The linear changes in parental monitoring were associated with the linear changes in self-control; likewise, the linear changes in self-control were related to those in depression. These results imply that parental monitoring and self-control need to be emphasized as a strategy in order to prevent or alleviate adolescents' depression.     

The use of the coefficient of variation in detecting sincerity of effort: a meta-analysis

The coefficient of variation (CV) is used to determine sincerity of effort of strength measurements. However, there is a controversy in the literature concerning its validity and effectiveness. We used a meta-analytic approach and calculated the effect size between maximal and submaximal efforts for the CV of grip, elbow flexion and knee extension. We summarized findings concerning stability, sensitivity and specificity of the CV. We found large effect sizes (d > or = 0.8) for all comparisons indicating that submaximal efforts were more variable than maximal efforts. We also found large error rates and low stability of the CV. The error rates and stability values of the CV are unacceptable from both a clinical and a medico-legal standpoint. Therefore, the use of the CV for assessing sincerity of effort needs to be questioned.     

A qualitative analysis of factors related to late life independence as related by the old-old and viewed through the concept of locus of control

The purpose of this research was to better understand what factors a sample of independent living oldest-old people believed contributed to their late-life independence. Participants selected from a list of Medicare recipients were interviewed in their homes and asked to identify factors that they felt were responsible for their ability to remain independent in late-life. Content analysis was used to analyze the data. Locus of control emerged as a useful conceptual framework for describing the data. Five styles of locus of control were identified. The fifth style, Integrative Locus of Control, suggested that the oldest-old may integrate multiple styles of internal and external locus of control. Family members and service providers can encourage independence by respecting the oldest-olds' abilities to make decisions, solve problems, and resolve conflicts, while concurrently acknowledging and providing for their identified needs.     

Bereavement & grief related to the loss of a parent

The death of my mother taught me valuable lessons about life and death (Spear, 2002), and the years since have provided me with a first-hand understanding of the grieving process. These personal experiences have allowed me to develop insight about and sensitivity to the experiences of others who are faced with death and dying, and the resultant psychoemotional feelings associated with permanent loss. It is important for nurses and others to be responsive to the complex and individualized grieving process of those who live through the death of a loved one.     

Shifting the bell curve: the benefits and costs of raising student achievement

Benefit-cost analysis was conducted to estimate the increase in earnings, increased tax revenues, value of less crime, and reductions in welfare costs attributable to nationwide implementation of rapid assessment, a promising intervention for raising student achievement in math and reading. Results suggest that social benefits would exceed total social costs by a ratio of 28. Fiscal benefits to the federal government would exceed costs to the federal treasury by a ratio of 93. Social benefits would exceed costs to each state treasury by a ratio no lower than 286, and fiscal benefits would exceed costs to each state treasury by a ratio no lower than 5, for all but two state treasuries. Sensitivity analyses suggest that the findings are robust to a 5-fold change in the underlying parameters.     

An axiomatic characterization of the lexicographic maximin extension of an ordering over a set to the power set

The lexicographic maximin extension of an ordering is an important and widely used tool in social choice theory. We provide an axiomatization of it by means of five axioms. When the basic ordering is linear the following four (independent) axioms are sufficient: (1) Gärdenfors principle; (2) Neutrality; (3) Strong Fishburn monotonicity; and (4) Extension. Our result may also have applications in the theory of individual choice under uncertainty.