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Is the Gini Index of Inequality Overly Sensitive to Changes in the Middle of the Income Distribution? 衡量不平等的基尼系数是否对收入分配中间位置的变化过于敏感?
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-12-12 DOI: 10.1080/2330443X.2017.1360813
J. Gastwirth
ABSTRACT The Gini index is the most commonly used measure of income inequality. Like any single summary measure of a set of data, it cannot capture all aspects that are of interest to researchers. One of its widely reported flaws is that it is supposed to be overly sensitive to changes in the middle of the distribution. By studying the effect of small transfers between households or an additional increment in income going to one member of the population on the value of the index, this claim is re-examined. It turns out that the difference in the rank order of donor and recipient is usually the most important factor determining the change in the Gini index due to the transfer, which implies that transfers from an upper income household to a low income household receive more weight that transfers involving the middle. Transfers between two middle-income households do affect a higher fraction of the population than other transfers but those transfers do not receive an excessive weight relative to other transfers because the difference in the ranks of donor and recipient is smaller than the corresponding difference in other transfers. Thus, progressive transfers between two households in the middle of the distribution changes the Gini index less than a transfer of the same amount from an upper income household to a lower income household. Similarly, the effect on the Gini index when a household in either tail of the distribution receives an additional increment is larger than when a middle-income household receives it. Contrary to much of the literature, these results indicate that the Gini index is not overly sensitive to changes in the middle of the distribution. Indeed, it is more sensitive to changes in the lower and upper parts of the distribution than in the middle.
基尼系数是衡量收入不平等最常用的指标。就像对一组数据的任何单一的总结测量一样,它不能捕捉到研究人员感兴趣的所有方面。它被广泛报道的缺陷之一是,它应该对分布中间的变化过于敏感。通过研究家庭之间的小额转移或人口中一个成员的额外收入增量对指数价值的影响,这一说法得到了重新检验。事实证明,捐赠者和接受者的排名顺序的差异通常是决定转移引起的基尼指数变化的最重要因素,这意味着从高收入家庭向低收入家庭的转移比涉及中等收入家庭的转移获得更多的权重。两个中等收入家庭之间的转移支付确实比其他转移支付影响了更多的人口,但相对于其他转移支付,这些转移支付没有得到过多的权重,因为捐赠方和受援方的等级差异小于其他转移支付的相应差异。因此,相对于等额从高收入家庭向低收入家庭的转移,处于收入分配中间的两户家庭之间的累进转移对基尼指数的影响较小。同样,当分布两端的家庭获得额外增量时,对基尼指数的影响大于中等收入家庭获得额外增量时的影响。与大多数文献相反,这些结果表明,基尼指数对中间分布的变化并不过于敏感。事实上,它对分布的上下部分的变化比中间部分更敏感。
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引用次数: 44
The 2008 Election: A Preregistered Replication Analysis 2008年大选:预登记的复制分析
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-07-08 DOI: 10.1080/2330443X.2016.1277966
Rayleigh Lei, Andrew Gelman, Yair Ghitza
ABSTRACT We present an increasingly stringent set of replications, a multilevel regression and poststratification analysis of polls from the 2008 U.S. presidential election campaign, focusing on a set of plots showing the estimated Republican vote share for whites and for all voters, as a function of income level in each of the states.  We start with a nearly exact duplication that uses the posted code and changes only the model-fitting algorithm; we then replicate using already-analyzed data from 2004; and finally we set up preregistered replications using two surveys from 2008 that we had not previously looked at. We have already learned from our preliminary, nonpreregistered replication, which has revealed a potential problem with the earlier published analysis; it appears that our model may not sufficiently account for nonsampling error, and that some of the patterns presented in that earlier article may simply reflect noise.  In addition to the substantive interest in validating earlier findings about demographics, geography, and voting, the present project serves as a demonstration of preregistration in a setting where the subject matter is historical (and thus the replication data exist before the preregistration plan is written) and where the analysis is exploratory (and thus a replication cannot be simply deemed successful or unsuccessful based on the statistical significance of some particular comparison).  Our replication analysis produced graphs that showed the same general pattern of income and voting as we had found in our earlier published work, but with some differences in particular states that we cannot easily explain and which seem too large to be explained by sampling variation. This process thus demonstrates how replication can raise concerns about an earlier published result.
我们对2008年美国总统大选的民意调查进行了一组越来越严格的重复、多层次回归和后分层分析,重点关注一组显示白人和所有选民估计共和党选票份额的图,作为每个州收入水平的函数。我们从一个几乎精确的复制开始,使用发布的代码,只改变模型拟合算法;然后,我们使用2004年已经分析过的数据进行重复;最后,我们利用2008年的两项调查建立了预注册的复制,这是我们之前没有看过的。我们已经从初步的、未预先注册的复制中了解到,这揭示了早期发表的分析的潜在问题;看来,我们的模型可能没有充分考虑到非抽样误差,而且前面文章中提出的一些模式可能只是反映了噪声。除了验证关于人口统计、地理和投票的早期发现的实质性兴趣之外,本项目还可以作为预登记的演示,在主题具有历史意义(因此在预登记计划编写之前就存在复制数据)和分析具有探索性(因此不能简单地根据某些特定比较的统计意义来判断复制的成功或失败)的环境中进行。我们的复制分析生成的图表显示了与我们在早期发表的工作中发现的相同的收入和投票的总体模式,但在特定的州存在一些我们无法轻易解释的差异,这些差异似乎太大了,无法用抽样变化来解释。因此,这个过程说明了复制如何引起对先前发表的结果的关注。
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引用次数: 7
Using First Name Information to Improve Race and Ethnicity Classification 使用名字信息改进种族和民族分类
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-02-22 DOI: 10.1080/2330443X.2018.1427012
Ioan Voicu
ABSTRACT This article uses a recent first name list to develop an improvement to an existing Bayesian classifier, namely the Bayesian Improved Surname Geocoding (BISG) method, which combines surname and geography information to impute missing race/ethnicity. The new Bayesian Improved First Name Surname Geocoding (BIFSG) method is validated using a large sample of mortgage applicants who self-report their race/ethnicity. BIFSG outperforms BISG, in terms of accuracy and coverage, for all major racial/ethnic categories. Although the overall magnitude of improvement is somewhat small, the largest improvements occur for non-Hispanic Blacks, a group for which the BISG performance is weakest. When estimating the race/ethnicity effects on mortgage pricing and underwriting decisions with regression models, estimation biases from both BIFSG and BISG are very small, with BIFSG generally having smaller biases, and the maximum a posteriori classifier resulting in smaller biases than through use of estimated probabilities. Robustness checks using voter registration data confirm BIFSG's improved performance vis-a-vis BISG and illustrate BIFSG's applicability to areas other than mortgage lending. Finally, I demonstrate an application of the BIFSG to the imputation of missing race/ethnicity in the Home Mortgage Disclosure Act data, and in the process, offer novel evidence that the incidence of missing race/ethnicity information is correlated with race/ethnicity.
摘要:本文利用最近的人名列表对现有的贝叶斯分类器进行改进,即贝叶斯改进姓氏地理编码(BISG)方法,该方法将姓氏和地理信息结合起来,以估算缺失的种族/民族。新的贝叶斯改进的姓氏地理编码(BIFSG)方法是使用大量的抵押贷款申请人自我报告他们的种族/民族的样本进行验证的。在所有主要种族/族裔类别的准确性和覆盖率方面,BIFSG优于BISG。尽管总体上的改善幅度有些小,但最大的改善发生在非西班牙裔黑人身上,这是BISG表现最弱的群体。当使用回归模型估计种族/民族对抵押贷款定价和承保决策的影响时,来自BIFSG和BISG的估计偏差都非常小,BIFSG通常具有较小的偏差,并且最大后验分类器导致的偏差比使用估计概率更小。使用选民登记数据的鲁棒性检查证实了BIFSG相对于BISG的改进性能,并说明了BIFSG对抵押贷款以外领域的适用性。最后,我展示了BIFSG在住房抵押贷款披露法案数据中缺失种族/民族的应用,并在此过程中提供了新的证据,证明缺失种族/民族信息的发生率与种族/民族相关。
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引用次数: 29
Did Massachusetts Health Care Reform Lower Mortality? No According to Randomization Inference 马萨诸塞州医疗改革降低了死亡率吗?根据随机化推理
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2015.1102667
R. Kaestner
ABSTRACT In an earlier article, Sommers, Long, and Baicker concluded that health care reform in Massachusetts was associated with a significant decrease in mortality. I replicate the findings from this study and present p-values for the parameter estimates reported by Sommers, Long, and Baicker that are based on an alternative and valid approach to inference referred to as randomization inference. I find that estimates of the treatment effects produced by Sommers, Long, and Baicker are not statistically significant when p-values are based on randomization inference methods. Indeed, the p-values of the estimates reported in Sommers, Long, and Baicker derived by the randomization inference method range from 0.22 to 0.78. Therefore, the authors’ conclusion that health reform in Massachusetts was associated with a decline in mortality is not justified. The Sommers, Long, and Baicker analysis is largely uninformative with respect to the true effect of reform on mortality because it does not have adequate statistical power to detect plausible effect sizes.
在较早的一篇文章中,Sommers、Long和Baicker得出结论,马萨诸塞州的医疗改革与死亡率的显著下降有关。我复制了这项研究的发现,并给出了Sommers、Long和Baicker报告的参数估计的p值,这些估计基于一种替代的、有效的推断方法,即随机化推断。我发现,当p值基于随机化推理方法时,Sommers、Long和Baicker对治疗效果的估计在统计上并不显著。事实上,Sommers、Long和Baicker通过随机化推理方法得出的估计值的p值在0.22到0.78之间。因此,作者关于马萨诸塞州医疗改革与死亡率下降有关的结论是不合理的。Sommers, Long和Baicker的分析在很大程度上没有提供关于改革对死亡率的真正影响的信息,因为它没有足够的统计能力来检测合理的效应大小。
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引用次数: 39
Politics and Federal Statistics* 政治与联邦统计*
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2016.1241061
J. Norwood
The federal statistical system in the United States regularly compiles data on the issues that concern the American people, data that play an important role in the lives of our citizens. Although a...
美国联邦统计系统定期编制与美国人民有关的问题的数据,这些数据在我们公民的生活中起着重要作用。尽管……
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引用次数: 3
Officer Risk Factors Associated with Police Shootings: A Matched Case–Control Study 与警察枪击相关的警官危险因素:一项匹配的病例对照研究
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2015.1129918
G. Ridgeway
ABSTRACT Particularly with the resurgence of concern over police use of deadly force, there is a pressing need to understand the risk factors that lead to police shootings. This study uses a matched-case–control design to remove confounders of shooting incidents and identify features of officers that increased their risk of shooting. By matching shooting officers to nonshooting officers at the same scene, the analysis isolates the role of the officers’ features from the features of the incident’s environment. The study uses data from the New York City Police Department on 291 officers involved in 106 officer-involved shootings adjudicated between 2004 and 2006. Black officers were 3.3 times and officers rapidly accumulating negative marks in their files were 3.1 times more likely to shoot than other officers. Officers who started their police career later in life were less likely to shoot. The results indicate that officer features related to discharging a firearm are identifiable.
随着对警察使用致命武力的担忧再次抬头,我们迫切需要了解导致警察开枪的风险因素。本研究采用匹配病例对照设计来消除枪击事件的混杂因素,并确定增加枪击风险的警官特征。通过将同一现场的射击警官与非射击警官进行匹配,该分析将警官特征的作用与事件环境特征隔离开来。这项研究使用了纽约市警察局的数据,涉及2004年至2006年间106起与警察有关的枪击事件中的291名警察。黑人警官的开枪率是其他警官的3.3倍,档案中迅速积累负面记录的警官的开枪率是其他警官的3.1倍。较晚开始警察生涯的警官开枪的可能性较小。结果表明,与发射枪支有关的军官特征是可识别的。
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引用次数: 40
Replicating Experimental Impact Estimates with Nonexperimental Methods in the Context of Control-Group Noncompliance 控制组不服从情况下用非实验方法复制实验影响评估
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2015.1084252
Brian Gill, J. Furgeson, Hanley S. Chiang, Bing-ru Teh, J. Haimson, Natalya Verbitsky Savitz
ABSTRACT A growing literature on within-study comparisons (WSC) examines whether and in what context nonexperimental methods can successfully replicate the results of randomized experiments. WSCs require that the experimental and nonexperimental methods assess the same causal estimand. But experiments that include noncompliance in treatment assignment produce a divergence in the causal estimands measured by standard approaches: the experiment-based estimate of the impact of treatment (the complier average causal effect, CACE) applies only to compliers, while the nonexperimental estimate applies to all subjects receiving treatment, including always-takers. We develop a new replication approach that solves this problem by using nonexperimental methods to produce an estimate that can be compared to the experimental intent-to-treat (ITT) impact estimate rather than the CACE. We demonstrate the applicability of the method in a WSC of the effects of charter schools on student achievement. In our example, some members of the randomized control group crossed over to treatment by enrolling in the charter schools. We show that several nonexperimental methods that incorporate pretreatment measures of the outcome of interest can successfully replicate experimental ITT impact estimates when control-group noncompliance (crossover) occurs—even when treatment effects differ for compliers and always takers.
越来越多关于研究内比较(WSC)的文献探讨了非实验方法是否以及在什么情况下可以成功地复制随机实验的结果。WSCs要求实验和非实验方法评估相同的因果估计。但是,包括治疗分配不依从性在内的实验,在用标准方法测量的因果估计中产生了分歧:基于实验的治疗影响估计(编译者平均因果效应,CACE)仅适用于编译者,而非实验估计适用于所有接受治疗的受试者,包括总是接受治疗的受试者。我们开发了一种新的复制方法,通过使用非实验方法来产生一个可以与实验意向治疗(ITT)影响估计(而不是CACE)进行比较的估计,从而解决了这个问题。我们在特许学校对学生成绩影响的WSC中证明了该方法的适用性。在我们的例子中,随机对照组的一些成员通过注册特许学校而进入治疗。我们表明,当控制组不服从(交叉)发生时,几种包含感兴趣结果的预处理措施的非实验方法可以成功地复制实验ITT影响估计-即使在编译者和总是接受者的治疗效果不同的情况下。
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引用次数: 13
Janet Norwood and Federal Statistics Janet Norwood和联邦统计局
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2016.1241057
E. Groshen
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引用次数: 0
NISS: From Vision to National Institute NISS:从愿景到国家研究所
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2015.1129919
N. Sedransk
ABSTRACT The story of the National Institute of Statistical Sciences (NISS) is a story of heroes and obstacles, of wisdom and naiveté; but most of all it is a story of a vision for statistics as fundamental to the understanding of a complex world. This article discusses the formation of the institute and the recollections of many of the leaders who helped form this organization.
国家统计科学研究所(NISS)的故事是一个英雄与障碍、智慧与幼稚的故事;但最重要的是,这是一个关于统计学愿景的故事,它是理解复杂世界的基础。本文讨论了该研究所的形成,以及许多帮助形成该组织的领导人的回忆。
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引用次数: 0
Shrinkage of Value-Added Estimates and Characteristics of Students with Hard-to-Predict Achievement Levels 难以预测成绩水平的学生的增值估计和特征的收缩
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2016-01-01 DOI: 10.1080/2330443X.2016.1182878
Mariesa A. Herrmann, Elias Walsh, Eric Isenberg
ABSTRACT It is common in the implementation of teacher accountability systems to use empirical Bayes shrinkage to adjust teacher value-added estimates by their level of precision. Because value-added estimates based on fewer students and students with “hard-to-predict” achievement will be less precise, the procedure could have differential impacts on the probability that the teachers of fewer students or students with hard-to-predict achievement will be assigned consequences. This article investigates how shrinkage affects the value-added estimates of teachers of hard-to-predict students. We found that teachers of students with low prior achievement and who receive free lunch tend to have less precise value-added estimates. However, in our sample, shrinkage had no statistically significant effect on the relative probability that teachers of hard-to-predict students received consequences.
在教师问责制的实施中,使用经验贝叶斯收缩来调整教师增值估计的精度水平是很常见的。因为基于较少的学生和“难以预测”成绩的学生的增值估计将不那么精确,所以该程序可能会对较少的学生或难以预测成绩的学生的教师分配结果的概率产生不同的影响。本文研究了“缩水”如何影响教师对难以预测的学生的增值估计。我们发现,对于先前成绩较低的学生和接受免费午餐的学生,教师往往有较不精确的增值估计。然而,在我们的样本中,收缩对难以预测的学生的教师接受后果的相对概率没有统计学上的显著影响。
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引用次数: 41
期刊
Statistics and Public Policy
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