scholarly journals Estimating Income Statistics from Grouped Data: Mean-constrained Integration over Brackets

2018 ◽  
Vol 48 (1) ◽  
pp. 337-374
Author(s):  
Paul A. Jargowsky ◽  
Christopher A. Wheeler

Researchers studying income inequality, economic segregation, and other subjects must often rely on grouped data—that is, data in which thousands or millions of observations have been reduced to counts of units by specified income brackets. The distribution of households within the brackets is unknown, and highest incomes are often included in an open-ended top bracket, such as “$200,000 and above.” Common approaches to this estimation problem include calculating midpoint estimators with an assumed Pareto distribution in the top bracket and fitting a flexible multiple-parameter distribution to the data. The authors describe a new method, mean-constrained integration over brackets (MCIB), that is far more accurate than those methods using only the bracket counts and the overall mean of the data. On the basis of an analysis of 297 metropolitan areas, MCIB produces estimates of the standard deviation, Gini coefficient, and Theil index that are correlated at 0.997, 0.998, and 0.991, respectively, with the parameters calculated from the underlying individual record data. Similar levels of accuracy are obtained for percentiles of the distribution and the shares of income by quintiles of the distribution. The technique can easily be extended to other distributional parameters and inequality statistics.

Author(s):  
Philip S. Morrison ◽  
Jacques Poot

Blanchflower and Oswald argue in their 1994 book that there is a stable downward-sloping convex curve linking the level of pay to the local unemployment rate. They derived this so-called wage curve from measurements on individuals within regions (local labour markets) for several countries and periods. Other investigators have confirmed the robustness of this finding. In this paper we seek evidence for the wage curve in New Zealand drawing on data at the regional level by means of the /996 census of population and dwellings. New Zealand research is hampered by the inaccessibility of unit record data and the paper reports results based on publicly available grouped data. The results show that a cross-sectional wage curve does exist in New Zealand. The elasticity is in the range of-0.07 to -0.12, which is similar to results obtained for other countries. However, research to date has not been able to choose between competing explanations for this phenomenon. We argue that a better understanding of the dynamics of local labour markets is an essential requirement for further study of the wage curve.


Circulation ◽  
2021 ◽  
Vol 143 (Suppl_1) ◽  
Author(s):  
Mary D Schiff ◽  
Anthony Fabio ◽  
Tiffany Gary-Webb ◽  
Dara Mendez

Introduction: Higher levels of residential segregation have been associated with poorer cardiometabolic health profiles among women. Still, it remains unclear whether segregation may differentially impact the development of gestational hypertension (gHTN) among an ethnically-diverse cohort of pregnant women. We used birth record data from 2003-2009 and data from the 2000 US Census to determine whether racial and economic segregation are associated with gHTN among a diverse cohort of child-bearing women in the greater Philadelphia area. Methods: We quantified racial and economic segregation using sociodemographic data from the US Census and the local Getis-Ord (Gi*) spatial statistic. The Gi* produces a spatially-weighted z-score for each census tract reflecting the degree of clustering of racially-similar neighborhoods in an area relative to the surrounding Philadelphia region. We categorized each type of segregation as low (Gi*<0), moderate (Gi*0-1.96), or high (Gi*>1.96), and assigned these to each woman by her census tract of residence. Gestational hypertension was defined in the birth record data as the development of pregnancy-induced hypertension or preeclampsia. We used hierarchical generalized linear mixed effect models to obtain risk ratios and differences (per 1000 women) for the relationships between each form of residential segregation and gHTN. All models were stratified by maternal race/ethnicity, and sequentially adjusted for maternal sociodemographics, health behaviors, medical histories, and neighborhood-level characteristics. Results: Our sample consisted of 220,897 Non-Hispanic (NH) Black (26%), NH White (64%), and Hispanic (10%) women, of whom 4% developed gHTN. However, a much greater proportion of NH Black women both developed gHTN and lived in high segregation neighborhoods compared to NH Whites and Hispanics. After adjustment, NH Black women in moderate and high economic segregation areas had 16% higher risk (RR=1.16, 95% CI: 1.03-1.31) and 23% higher risk (RR=1.23, 95% CI: 1.08-1.39) of gHTN, respectively, compared to NH Black women living in low segregation areas. NH Black women in highly racially segregated neighborhoods saw an additional 9 cases of gHTN (per 1000 women) compared to NH Black women living in more racially integrated neighborhoods (RD=8.47, 95% CI: 3.14-13.80). Among NH White and Hispanic women, economic segregation was not associated with gHTN, and only marginally significant findings were observed for racial segregation. Conclusions: In our diverse sample of child-bearing women from the greater Philadelphia area, higher levels of racial and economic segregation were associated with greater risk of gHTN among NH Black women. Future work should seek to delineate the specific pathways by which neighborhoods differentially impact individual level cardiovascular health based upon race.


1995 ◽  
Vol 387 ◽  
Author(s):  
Andreas Tillmann

AbstractA new strategy based algorithm to optimize process parameter uniformity (e.g.sheet resistance, oxide thickness) and temperature uniformity on wafers in a commercially available Rapid Thermal Processing (RTP) system with independent lamp control is described. The computational algorithm uses an effective strategy to minimize the standard deviation of the considered parameter distribution. It is based on simulation software which is able to calculate the temperature and resulting parameter distribution on the wafer for a given lamp correction table. A cyclical variation of the correction values of all lamps is done while minimizing the standard deviation of the considered process parameter. After the input of experimentally obtained wafer maps the optimization can be done within a few minutes. This technique is an effective tool for the process engineer to use to quickly optimize the homogeneity of the RTP tool for particular process requirements. The methodology will be shown on the basis of three typical RTP applications (Rapid Thermal Oxidation, Titanium Silicidation and Implant Annealing). The impact of variations of correction values for single lamps on the resulting process uniformity for different applications will be discussed.


2002 ◽  
Vol 1 (4) ◽  
pp. 349-372 ◽  
Author(s):  
Todd Swanstrom ◽  
Peter Dreier ◽  
John Mollenkopf

In recent decades two broad trends in American society have been well–documented: rising income inequality and rising segregation of economic classes across space in metropolitan areas. The thesis of this article is that rising economic segregation is both a cause of rising economic inequality and amplifies its effects in ways that do not showup in the income statistics. The article synthesizes the evidence on the contextual effects of economic segregation in three areas: 1) jobs and income; 2) public services; and 3) retail services. Economic segregation does not only undermine equal opportunity, it also damages American democracy. Although more research is needed on the effects of economic segregation, the evidence is more than sufficient to call for public action.


2016 ◽  
Vol 41 (2) ◽  
pp. 233-255 ◽  
Author(s):  
Benjamin Bellman ◽  
Seth E. Spielman ◽  
Rachel S. Franklin

While population growth has been consistently tied to decreasing racial segregation at the metropolitan level in the United States, little work has been done to relate small-scale changes in population size to integration. We address this question through a novel technique that tracks population changes by race and ethnicity for comparable geographies in both 2000 and 2010. Using the Theil index, we analyze the fifty most populous metropolitan statistical areas in 2010 for changes in multigroup segregation. We classify local areas by their net population change between 2000 and 2010 using a unique unit of analysis based on aggregating census blocks. We find strong evidence that growing parts of rapidly growing metropolitan areas of the United States are crucial to understanding regional differences in segregation that have emerged in past decades. Multigroup segregation declined the most in growing parts of growing metropolitan areas. Comparatively, growing parts of shrinking or stagnant metropolitan areas were less diverse and had smaller declines in segregation. We also find that local areas with shrinking populations had disproportionately high minority representation in 2000 before population loss took place. We conclude that the regional context of population growth or decline has important consequences for the residential mixing of racial groups.


1995 ◽  
Vol 389 ◽  
Author(s):  
Andreas Tillmann

ABSTRACTA new strategy based algorithm to optimize process parameter uniformity (e.g. sheet resistance, oxide thickness) and temperature uniformity on wafers in a commercially available Rapid Thermal Processing (RTP) system with independent lamp control is described. The computational algorithm uses an effective strategy to minimize the standard deviation of the considered parameter distribution. It is based on simulation software which is able to calculate the temperature and resulting parameter distribution on the wafer for a given lamp correction table. A cyclical variation of the correction values of all lamps is done while minimizing the standard deviation of the considered process parameter. After the input of experimentally obtained wafer maps the optimization can be done within a few minutes. This technique is an effective tool for the process engineer to use to quickly optimize the homogeneity of the RTP tool for particular process requirements. The methodology will be shown on the basis of three typical RTP applications (Rapid Thermal Oxidation, Titanium Silicidation and Implant Annealing). The impact of variations of correction values for single lamps on the resulting process uniformity for different applications will be discussed.


2021 ◽  
Author(s):  
Fei Huang ◽  
Ross Maller ◽  
Brandon Milholland ◽  
Xu Ning

AbstractAnalysis of some extensive individual-record data using a demographically informed model suggests constructing a general population model in which the lifetime of a person, beyond a certain threshold age, follows an extreme value distribution with a finite upper bound, and with that upper bound randomized over the population. The resulting population model incorporates heterogeneity in life-lengths, with lifetimes being finite individually, but with extremely long lifespans having negligible probability. Our findings are compared in detail with those of related studies in the literature, and used to reconcile contradictions between previous studies of extreme longevity. While being consistent with currently reported analyses of human lifetimes, we nevertheless differ with those who conclude in favour of unbounded human lifetimes.


2018 ◽  
Vol 50 (4) ◽  
pp. 809-825 ◽  
Author(s):  
John Östh ◽  
Ian Shuttleworth ◽  
Thomas Niedomysl

The statistical resources at hand for segregation research are usually almost exclusively confined to annual or decennial records where the only available spatial information is the individual’s place of residence. This coarse temporal periodicity and spatial resolution provides a very limited account of people’s diurnal lives. Incorporating mobility and temporal dimensions in segregation analysis is advocated within a growing body of research but there has rarely been sufficient data to make this possible. In this paper, we employ a fine-grained mobile phone dataset outlining the daily mobility of a substantial sample of the residents in Sweden’s metropolitan areas. Combining spatial trajectory data with detailed socio-economic residential statistics, we are able to study how everyday spatial mobility in cities shapes the segregation experiences of people and changes the segregation levels of places. Results indicate that while mobility alleviates segregation for some individuals, the population of a large number of areas remain highly segregated even when daily mobility is taken into account. Individuals residing or spending time in central urban areas are more exposed to individuals from other areas because of daily moves to these central places. Daytime movement to central areas also reduces segregation significantly for people from places remote from city centres but with high average levels of mobility whilst daytime segregation levels remain close to their original night-time levels in low-mobility areas in the outskirts of the cities.


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