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Analyzing the Impacts of Public Policy on COVID-19 Transmission: A Case Study of the Role of Model and Dataset Selection Using Data from Indiana 公共政策对COVID-19传播的影响分析——以印第安纳州数据为例研究模型和数据集选择的作用
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-12-14 DOI: 10.1080/2330443X.2020.1859030
G. Mohler, M. Short, F. Schoenberg, Daniel Sledge
ABSTRACT Dynamic estimation of the reproduction number of COVID-19 is important for assessing the impact of public health measures on virus transmission. State and local decisions about whether to relax or strengthen mitigation measures are being made in part based on whether the reproduction number, Rt , falls below the self-sustaining value of 1. Employing branching point process models and COVID-19 data from Indiana as a case study, we show that estimates of the current value of Rt , and whether it is above or below 1, depend critically on choices about data selection and model specification and estimation. In particular, we find a range of Rt values from 0.47 to 1.20 as we vary the type of estimator and input dataset. We present methods for model comparison and evaluation and then discuss the policy implications of our findings.
动态估计COVID-19的繁殖数对于评估公共卫生措施对病毒传播的影响具有重要意义。州和地方关于是放松还是加强缓解措施的决定,在一定程度上取决于繁殖数Rt是否低于自我维持值1。以分支点过程模型和来自印第安纳州的COVID-19数据为例,我们发现对Rt当前值的估计,以及它是高于还是低于1,主要取决于对数据选择和模型规范和估计的选择。特别是,当我们改变估计器和输入数据集的类型时,我们发现Rt值的范围从0.47到1.20。我们提出了模型比较和评估的方法,然后讨论了我们的研究结果的政策含义。
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引用次数: 4
Policy Implications of Statistical Estimates: A General Bayesian Decision-Theoretic Model for Binary Outcomes 统计估计的政策含义:二元结果的一般贝叶斯决策理论模型
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-08-25 DOI: 10.1080/2330443X.2022.2050328
A. Suzuki
Abstract How should we evaluate the effect of a policy on the likelihood of an undesirable event, such as conflict? The significance test has three limitations. First, relying on statistical significance misses the fact that uncertainty is a continuous scale. Second, focusing on a standard point estimate overlooks the variation in plausible effect sizes. Third, the criterion of substantive significance is rarely explained or justified. A new Bayesian decision-theoretic model, “causal binary loss function model,” overcomes these issues. It compares the expected loss under a policy intervention with the one under no intervention. These losses are computed based on a particular range of the effect sizes of a policy, the probability mass of this effect size range, the cost of the policy, and the cost of the undesirable event the policy intends to address. The model is more applicable than common statistical decision-theoretic models using the standard loss functions or capturing costs in terms of false positives and false negatives. I exemplify the model’s use through three applications and provide an R package. Supplementary materials for this article are available online.
我们应该如何评估政策对不良事件(如冲突)发生可能性的影响?显著性检验有三个局限性。首先,依赖统计显著性忽略了不确定性是连续尺度的事实。其次,专注于标准点估计忽略了合理效应大小的变化。第三,实质性意义的标准很少得到解释或证明。一个新的贝叶斯决策理论模型,“因果二元损失函数模型”,克服了这些问题。它比较了政策干预和不干预下的预期损失。这些损失是根据政策效应大小的特定范围、该效应大小范围的概率质量、政策的成本以及政策打算处理的不良事件的成本来计算的。该模型比使用标准损失函数或根据假阳性和假阴性捕获成本的常见统计决策理论模型更适用。我通过三个应用程序举例说明了模型的使用,并提供了一个R包。本文的补充材料可在网上获得。
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引用次数: 0
A Causal Framework for Observational Studies of Discrimination 歧视观察性研究的因果框架
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-06-22 DOI: 10.1080/2330443X.2021.2024778
Johann D. Gaebler, William Cai, Guillaume W. Basse, Ravi Shroff, Sharad Goel, J. Hill
Abstract In studies of discrimination, researchers often seek to estimate a causal effect of race or gender on outcomes. For example, in the criminal justice context, one might ask whether arrested individuals would have been subsequently charged or convicted had they been a different race. It has long been known that such counterfactual questions face measurement challenges related to omitted-variable bias, and conceptual challenges related to the definition of causal estimands for largely immutable characteristics. Another concern, which has been the subject of recent debates, is post-treatment bias: many studies of discrimination condition on apparently intermediate outcomes, like being arrested, that themselves may be the product of discrimination, potentially corrupting statistical estimates. There is, however, reason to be optimistic. By carefully defining the estimand—and by considering the precise timing of events—we show that a primary causal quantity of interest in discrimination studies can be estimated under an ignorability condition that may hold approximately in some observational settings. We illustrate these ideas by analyzing both simulated data and the charging decisions of a prosecutor’s office in a large county in the United States.
摘要在歧视研究中,研究人员经常试图估计种族或性别对结果的因果影响。例如,在刑事司法背景下,人们可能会问,如果被逮捕的人是不同的种族,他们随后是否会被指控或定罪。众所周知,这种反事实问题面临着与遗漏变量偏差相关的测量挑战,以及与定义基本不可变特征的因果估计相关的概念挑战。最近争论的另一个问题是治疗后偏见:许多关于歧视的研究以明显的中间结果为条件,比如被逮捕,这些结果本身可能是歧视的产物,可能会破坏统计估计。然而,我们有理由保持乐观。通过仔细定义估计需求,并考虑事件的确切时间,我们表明,在一些观测环境中,可以在不可忽略的条件下估计歧视研究中感兴趣的主要因果量。我们通过分析模拟数据和美国一个大县检察官办公室的指控决定来说明这些想法。
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引用次数: 10
A Computational Approach to Measuring Vote Elasticity and Competitiveness 一种衡量投票弹性和竞争力的计算方法
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-01-01 DOI: 10.1080/2330443x.2020.1777915
Daryl R. DeFord, M. Duchin, J. Solomon
ABSTRACT The recent wave of attention to partisan gerrymandering has come with a push to refine or replace the laws that govern political redistricting around the country. A common element in several states’ reform efforts has been the inclusion of competitiveness metrics, or scores that evaluate a districting plan based on the extent to which district-level outcomes are in play or are likely to be closely contested. In this article, we examine several classes of competitiveness metrics motivated by recent reform proposals and then evaluate their potential outcomes across large ensembles of districting plans at the Congressional and state Senate levels. This is part of a growing literature using MCMC techniques from applied statistics to situate plans and criteria in the context of valid redistricting alternatives. Our empirical analysis focuses on five states—Utah, Georgia, Wisconsin, Virginia, and Massachusetts—chosen to represent a range of partisan attributes. We highlight situation-specific difficulties in creating good competitiveness metrics and show that optimizing competitiveness can produce unintended consequences on other partisan metrics. These results demonstrate the importance of (1) avoiding writing detailed metric constraints into long-lasting constitutional reform and (2) carrying out careful mathematical modeling on real geo-electoral data in each redistricting cycle.
最近一波对党派不公正划分选区的关注伴随着推动完善或取代管理全国政治重新划分的法律。在几个州的改革努力中,一个共同的因素是纳入了竞争力指标,即根据地区层面的结果在多大程度上发挥作用或可能存在激烈竞争来评估学区计划的分数。在本文中,我们研究了由最近的改革提案推动的几类竞争力指标,然后评估了它们在国会和州参议院层面的大规模地区计划中的潜在结果。这是越来越多的文献使用MCMC技术的一部分,从应用统计到在有效的重新划分方案的背景下制定计划和标准。我们的实证分析集中在五个州——犹他州、乔治亚州、威斯康辛州、弗吉尼亚州和马萨诸塞州——被选来代表一系列的党派属性。我们强调了在创建良好的竞争力指标方面的具体情况困难,并表明优化竞争力可能会对其他党派指标产生意想不到的后果。这些结果表明:(1)避免将详细的度量约束写入长期的宪法改革中;(2)在每个重新划分周期中对真实的地理选举数据进行仔细的数学建模。
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引用次数: 26
The Essential Role of Empirical Validation in Legislative Redistricting Simulation 实证验证在立法选区重新划分模拟中的重要作用
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-01-01 DOI: 10.1080/2330443x.2020.1791773
Benjamin Fifield, K. Imai, J. Kawahara, Christopher T. Kenny
ABSTRACT As granular data about elections and voters become available, redistricting simulation methods are playing an increasingly important role when legislatures adopt redistricting plans and courts determine their legality. These simulation methods are designed to yield a representative sample of all redistricting plans that satisfy statutory guidelines and requirements such as contiguity, population parity, and compactness. A proposed redistricting plan can be considered gerrymandered if it constitutes an outlier relative to this sample according to partisan fairness metrics. Despite their growing use, an insufficient effort has been made to empirically validate the accuracy of the simulation methods. We apply a recently developed computational method that can efficiently enumerate all possible redistricting plans and yield an independent sample from this population. We show that this algorithm scales to a state with a couple of hundred geographical units. Finally, we empirically examine how existing simulation methods perform on realistic validation datasets.
随着有关选举和选民的细粒度数据的可用性,选区重划模拟方法在立法机构通过选区重划计划和法院确定其合法性时发挥着越来越重要的作用。这些模拟方法的目的是产生所有重新划分计划的代表性样本,这些计划满足法定指导方针和要求,如邻近性、人口平价和紧凑性。如果根据党派公平指标,一个拟议的重新划分计划相对于这个样本构成了一个异常值,那么它可以被认为是不公正的。尽管它们的使用越来越多,但在经验验证模拟方法的准确性方面所做的努力还不够。我们采用了一种最新开发的计算方法,该方法可以有效地枚举所有可能的重新划分计划,并从这个群体中产生一个独立的样本。我们展示了这个算法扩展到一个有几百个地理单位的状态。最后,我们实证研究了现有的仿真方法如何在现实验证数据集上执行。
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引用次数: 13
Statistical Procedures for Assessing the Need for an Affirmative Action Plan: A Reanalysis of Shea v. Kerry 评估平权行动计划必要性的统计程序:谢伊诉克里案再分析
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-01-01 DOI: 10.1080/2330443x.2019.1693313
Qing Pan, W. Miao, J. Gastwirth
Abstract In the 1980s, reports from Congress and the Government Accountability Office (GAO) presented statistical evidence showing that employees in the Foreign Service were overwhelmingly White male, especially in the higher positions. To remedy this historical discrimination, the State Department instituted an affirmative action plan during 1990–1992 that allowed females and race-ethnic minorities to apply directly for mid-level positions. A White male employee claimed that he had been disadvantaged by the plan. The appellate court unanimously held that the manifest statistical imbalance supported the Department’s instituting the plan. One judge identified two statistical issues in the analysis of the data that neither party brought up. This article provides an empirical guideline for sample size and a one-sided Hotelling’s T2 test to answer these problems. First, an approximate rule is developed for the minimum number of expected minority appointments needed for a meaningful statistical analysis of under-representation. To avoid the multiple comparison issue when several protected groups are involved, a modification of Hotelling’s T2 test is developed for testing the null hypothesis of fair representation against a one-sided alternative of under-representation in at least one minority group. The test yields p-values less than 1 in 10,000 indicating that minorities were substantially under-represented. Excluding secretarial and clerical jobs led to even larger disparities. Supplemental materials for this article are available online.
在20世纪80年代,国会和政府问责局(GAO)的报告提供的统计证据表明,外交部门的雇员绝大多数是白人男性,特别是在较高的职位上。为了纠正这种历史上的歧视,国务院在1990年至1992年期间制定了一项平权行动计划,允许女性和少数族裔直接申请中级职位。一名白人男性员工声称,他因该计划而处于不利地位。上诉法院一致认为,明显的统计不平衡支持该部制定该计划。一名法官在对数据的分析中发现了双方都没有提出的两个统计问题。本文提供了样本量的实证指导和单侧Hotelling’s T2检验来回答这些问题。首先,为对代表性不足进行有意义的统计分析所需的预期少数民族任命的最低人数制定了一个近似规则。为了避免涉及多个受保护群体时的多重比较问题,开发了对Hotelling的T2检验的修改,用于测试公平代表性的零假设与至少一个少数群体代表性不足的片面替代。该测试得出的p值小于万分之一,表明少数族裔的代表性明显不足。不包括秘书和文书工作导致了更大的差距。本文的补充材料可在网上获得。
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引用次数: 0
Who Is My Neighbor? The Spatial Efficiency of Partisanship 谁是我的邻居?党派关系的空间效率
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-01-01 DOI: 10.1080/2330443X.2020.1806762
Nicholas Eubank, Jonathan Rodden
Abstract Relative to its overall statewide support, the Republican Party has been over-represented in congressional delegations and state legislatures over the last decade in a number of US states. A challenge is to determine the extent to which this can be explained by intentional gerrymandering as opposed to an underlying inefficient distribution of Democrats in cities. We explain the “spatial inefficiency” of support for Democrats, and demonstrate that it varies substantially both across states and also across legislative chambers within states. We introduce a simple method for measuring this inefficiency by assessing the partisanship of the nearest neighbors of each voter in each US state. Our measure of spatial efficiency helps explain cross-state patterns in legislative representation, and allows us to verify that political geography contributes substantially to inequalities in political representation. At the same time, however, we also show that even after controlling for spatial efficiency, partisan control of the redistricting process has had a substantial impact on the parties’ seat shares. Supplementary materials for this article are available online.
在过去的十年里,在美国的一些州,共和党在国会代表团和州立法机构中的代表人数过高。一个挑战是,要确定这在多大程度上可以用故意的不公正划分选区来解释,而不是用民主党在城市中潜在的低效分配来解释。我们解释了对民主党支持的“空间低效率”,并证明它在各州之间以及州内立法机构之间都存在很大差异。我们介绍了一种简单的方法,通过评估美国每个州每个选民最近邻居的党派关系来衡量这种低效率。我们对空间效率的衡量有助于解释立法代表权的跨州模式,并使我们能够验证政治地理对政治代表权的不平等有重大影响。然而,与此同时,我们也表明,即使在控制了空间效率之后,党派对重新划分过程的控制也对党派的席位份额产生了实质性影响。本文的补充材料可在网上获得。
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引用次数: 5
Mathematics of Nested Districts: The Case of Alaska 嵌套地区的数学:阿拉斯加的例子
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2020-01-01 DOI: 10.1080/2330443x.2020.1774452
S. Caldera, Daryl R. DeFord, M. Duchin, Samuel C. Gutekunst, Cara Nix
ABSTRACT In eight states, a “nesting rule” requires that each state Senate district be exactly composed of two adjacent state House districts. In this article, we investigate the potential impacts of these nesting rules with a focus on Alaska, where Republicans have a 2/3 majority in the Senate while a Democratic-led coalition controls the House. Treating the current House plan as fixed and considering all possible pairings, we find that the choice of pairings alone can create a swing of 4–5 seats out of 20 against recent voting patterns, which is similar to the range observed when using a Markov chain procedure to generate plans without the nesting constraint. The analysis enables other insights into Alaska districting, including the partisan latitude available to districters with and without strong rules about nesting and contiguity. Supplementary materials for this article are available online.
摘要在八个州,“嵌套规则”要求每个州的参议院选区由两个相邻的州众议院选区组成。在这篇文章中,我们调查了这些嵌套规则的潜在影响,重点关注阿拉斯加,在那里,共和党在参议院占2/3的多数,而民主党领导的联盟控制着众议院。将当前的众议院计划视为固定的,并考虑所有可能的配对,我们发现,仅配对的选择就可以在20个席位中产生4-5个席位,与最近的投票模式相反,这与使用马尔可夫链程序生成没有嵌套约束的计划时观察到的范围相似。该分析使人们能够深入了解阿拉斯加的区划,包括有和没有关于嵌套和邻接的严格规则的区划者可以使用的党派纬度。本文的补充材料可在线获取。
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引用次数: 14
On Racial Disparities in Recent Fatal Police Shootings 论近期警察枪杀案中的种族差异
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2019-12-06 DOI: 10.1080/2330443x.2019.1704330
L. Mentch
Abstract Fatal police shootings in the United States continue to be a polarizing social and political issue. Clear disagreement between racial proportions of victims and nationwide racial demographics together with graphic video footage has created fertile ground for controversy. However, simple population level summary statistics fail to take into account fundamental local characteristics such as county-level racial demography, local arrest demography, and law enforcement density. Using data on fatal police shootings between January 2015 and July 2016, I implement a number of straightforward resampling procedures designed to carefully examine how unlikely the victim totals from each race are with respect to these local population characteristics if no racial bias were present in the decision to shoot by police. I present several approaches considering the shooting locations both as fixed and also as a random sample. In both cases, I find overwhelming evidence of a racial disparity in shooting victims with respect to local population demographics but substantially less disparity after accounting for local arrest demographics. I conclude the analyses by examining the effect of police-worn body cameras and find no evidence that the presence of such cameras impacts the racial distribution of victims. Supplementary materials for this article are available online.
摘要致命警察枪击案在美国仍然是一个两极分化的社会和政治问题。受害者的种族比例和全国范围内的种族人口统计数据之间的明显分歧,加上图形视频片段,为争议创造了肥沃的土壤。然而,简单的人口水平汇总统计没有考虑到当地的基本特征,如县级种族人口统计、当地逮捕人口统计和执法密度。利用2015年1月至2016年7月期间致命警察枪击案的数据,我实施了一些简单的重新采样程序,旨在仔细检查如果警察开枪的决定中不存在种族偏见,每个种族的受害者总数与这些当地人口特征相比的可能性有多大。我提出了几种将拍摄地点视为固定样本和随机样本的方法。在这两起案件中,我都发现了压倒性的证据,表明枪击案受害者在当地人口统计方面存在种族差异,但在考虑到当地逮捕人口统计后,差异要小得多。我通过检查警察佩戴的人体摄像头的效果来结束分析,没有发现任何证据表明这种摄像头的存在会影响受害者的种族分布。本文的补充材料可在线获取。
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引用次数: 4
Optimal Legislative County Clustering in North Carolina 北卡罗来纳州最优立法县集聚
IF 1.6 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS Pub Date : 2019-08-30 DOI: 10.1080/2330443x.2020.1748552
Daniel Carter, Zach Hunter, Dan Teague, G. Herschlag, Jonathan C. Mattingly
Abstract North Carolina’s constitution requires that state legislative districts should not split counties. However, counties must be split to comply with the “one person, one vote” mandate of the U.S. Supreme Court. Given that counties must be split, the North Carolina legislature and the courts have provided guidelines that seek to reduce counties split across districts while also complying with the “one person, one vote” criterion. Under these guidelines, the counties are separated into clusters; each cluster contains a specified number of districts and that are drawn independent from other clusters. The primary goal of this work is to develop, present, and publicly release an algorithm to optimally cluster counties according to the guidelines set by the court in 2015. We use this tool to investigate the optimality and uniqueness of the enacted clusters under the 2017 redistricting process. We verify that the enacted clusters are optimal, but find other optimal choices. We emphasize that the tool we provide lists all possible optimal county clusterings. We also explore the stability of clustering under changing statewide populations and project what the county clusters may look like in the next redistricting cycle beginning in 2020/2021. Supplementary materials for this article are available online.
摘要北卡罗来纳州的宪法要求州立法区不应分割县。然而,为了遵守美国最高法院的“一人一票”规定,必须对各县进行拆分。鉴于各县必须划分,北卡罗来纳州立法机构和法院提供了指导方针,旨在减少各县在不同地区的划分,同时遵守“一人一票”的标准。根据这些指导方针,各县被划分为集群;每个集群包含指定数量的区域,这些区域是独立于其他集群绘制的。这项工作的主要目标是根据法院在2015年制定的指导方针,开发、提出并公开发布一种算法,以优化各县的集群。我们使用该工具来研究2017年重新划分选区过程中颁布的集群的最优性和唯一性。我们验证了制定的集群是最优的,但找到了其他最优选择。我们强调,我们提供的工具列出了所有可能的最佳县集群。我们还探讨了在全州人口变化的情况下集群的稳定性,并预测了2020/2021年开始的下一个重新划分周期中,县集群可能会是什么样子。本文的补充材料可在线获取。
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引用次数: 8
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Statistics and Public Policy
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