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Optimal Matching for Observational Studies That Integrate Quantitative and Qualitative Research 整合定量和定性研究的观察性研究的最佳匹配
IF 1.6 Q2 Mathematics Pub Date : 2021-01-01 DOI: 10.1080/2330443X.2021.1919260
Ruoqi Yu, Dylan S. Small, David J. Harding, J. Aveldanes, P. Rosenbaum
Abstract A quantitative study of treatment effects may form many matched pairs of a treated subject and an untreated control who look similar in terms of covariates measured prior to treatment. When treatments are not randomly assigned, one inevitable concern is that individuals who look similar in measured covariates may be dissimilar in unmeasured covariates. Another concern is that quantitative measures may be misinterpreted by investigators in the absence of context that is not recorded in quantitative data. When text information is automatically coded to form quantitative measures, examination of the narrative context can reveal the limitations of initial coding efforts. An existing proposal entails a narrative description of a subset of matched pairs, hoping in a subset of pairs to observe quite a bit more of what was not quantitatively measured or automatically encoded. A subset of pairs cannot rule out subtle biases that materially affect analyses of many pairs, but perhaps a subset of pairs can inform discussion of such biases, perhaps leading to a reinterpretation of quantitative data, or perhaps raising new considerations and perspectives. The large literature on qualitative research contends that open-ended, narrative descriptions of a subset of people can be informative. Here, we discuss and apply a form of optimal matching that supports such an integrated, quantitative-plus-qualitative study. The optimal match provides many closely matched pairs plus a subset of exceptionally close pairs suitable for narrative interpretation. We illustrate the matching technique using data from a recent study of police responses to domestic violence in Philadelphia, where the police report includes both quantitative and narrative information.
摘要治疗效果的定量研究可能会形成许多配对的治疗受试者和未治疗对照者,他们在治疗前测量的协变量方面看起来相似。当治疗不是随机分配的时,一个不可避免的问题是,在测量的协变量中看起来相似的个体在未测量的协变中可能不同。另一个令人担忧的问题是,在没有定量数据记录的背景下,定量测量可能会被研究人员误解。当文本信息被自动编码以形成定量度量时,对叙事上下文的检查可以揭示最初编码工作的局限性。现有的提案需要对匹配配对的子集进行叙述性描述,希望在配对的子集中观察到更多没有定量测量或自动编码的内容。配对的子集不能排除对许多配对的分析产生重大影响的细微偏差,但也许配对的子集可以为此类偏差的讨论提供信息,也许会导致对定量数据的重新解释,或者可能会提出新的考虑和观点。关于定性研究的大量文献认为,对一部分人的开放式叙事描述可以提供信息。在这里,我们讨论并应用了一种支持这种综合、定量和定性研究的最优匹配形式。最佳匹配提供了许多紧密匹配的配对,加上适合叙事解释的异常紧密配对的子集。我们使用最近一项关于费城警方对家庭暴力反应的研究的数据来说明匹配技术,警方报告包括定量和叙述信息。
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引用次数: 2
Does Voting by Mail Increase Fraud? Estimating the Change in Reported Voter Fraud When States Switch to Elections By Mail 邮寄投票会增加欺诈吗?当各州转向邮寄选举时,估计报告的选民欺诈的变化
IF 1.6 Q2 Mathematics Pub Date : 2021-01-01 DOI: 10.1080/2330443X.2021.1906806
Jonathan Auerbach, Steve Pierson
Abstract We estimate the change in the reported number of voter fraud cases when states switch to conducting elections by mail. We consider two types of states in which voting is facilitated by mail: states where a large number of voters receive ballots by mail (receive-by-mail states, RBM) and a subset of these states where registered voters are automatically sent ballots by mail (vote-by-mail states, VBM). We then compare the number of voter fraud cases in RBM (VBM) states to the number of cases in non-RBM (non-VBM) states, using two approaches standard in the social sciences. We find no evidence that voting by mail increases the risk of voter fraud overall. Between 2016 and 2019, RBM (VBM) states reported similar fraud rates to non-RBM (non-VBM) states. Moreover, we estimate Washington would have reported 73 more cases of fraud between 2011 and 2019 had it not introduced its VBM law. While our analysis of the data considers only two of many possible approaches, we argue our findings are unlikely were fraud more common when elections are held by mail.
摘要我们估计了当各州转向邮寄选举时,选民欺诈案件报告数量的变化。我们考虑了两种通过邮寄方式促进投票的州:大量选民通过邮寄方式收到选票的州(邮寄接收州,RBM)和注册选民自动通过邮寄方式发送选票的州的子集(邮寄投票州,VBM)。然后,我们使用社会科学中的两种标准方法,将RBM(VBM)州的选民欺诈案件数量与非RBM(非VBM)各州的案件数量进行比较。我们没有发现任何证据表明邮寄投票总体上会增加选民欺诈的风险。2016年至2019年间,RBM州报告的欺诈率与非RBM州相似。此外,我们估计,如果华盛顿没有引入VBM法,它在2011年至2019年间还会报告73起欺诈案件。虽然我们对数据的分析只考虑了许多可能的方法中的两种,但我们认为,如果邮寄选举时欺诈行为更为常见,我们的发现不太可能。
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引用次数: 2
Hypothesis-based Acceptance Sampling for Modules F and F1 of the European Measuring Instruments Directive 欧洲测量仪器指令模块F和F1的基于假设的验收抽样
IF 1.6 Q2 Mathematics Pub Date : 2021-01-01 DOI: 10.1080/2330443X.2021.1900762
K. Klauenberg, Cord A. Müller, C. Elster
Abstract Millions of measuring instruments are verified each year before being placed on the markets worldwide. In the EU, such initial conformity assessments are regulated by the Measuring Instruments Directive (MID). The MID modules F and F1 on product verification allow for statistical acceptance sampling, whereby only random subsets of instruments need to be inspected. This article re-interprets the acceptance sampling conditions formulated by the MID. The new interpretation is contrasted with the one advanced in WELMEC guide 8.10, and three advantages have become apparent. First, an economic advantage of the new interpretation is a producers’ risk bounded from above, such that measuring instruments with sufficient quality are accepted with a guaranteed probability of no less than 95%. Second, a conceptual advantage is that the new MID interpretation fits into the well known, formal framework of statistical hypothesis testing. Thirdly, the new interpretation applies unambiguously to finite-sized lots, even very small ones. We conclude that the new interpretation is to be preferred and suggest re-formulating the statistical sampling conditions in the MID. Re-interpreting the MID conditions implies that currently available sampling plans are either not admissible or not optimal. We derive a new acceptance sampling scheme and recommend its application. Supplementary materials for this article are available online.
摘要每年有数百万种测量仪器在投放全球市场之前经过验证。在欧盟,此类初始符合性评估受测量仪器指令(MID)的监管。产品验证的MID模块F和F1允许进行统计验收抽样,因此只需要检查仪器的随机子集。本文重新解释了MID制定的验收抽样条件。将新的解释与WELMEC指南8.10中提出的解释进行了对比,三个优点变得明显。首先,新解释的一个经济优势是生产者的风险由上而下,因此,质量足够的测量仪器被接受,保证概率不低于95%。其次,一个概念上的优势是,新的MID解释符合众所周知的统计假设检验的正式框架。第三,新的解释明确适用于有限规模的地块,即使是非常小的地块。我们得出的结论是,新的解释是首选的,并建议重新制定MID中的统计抽样条件。重新解释MID条件意味着当前可用的抽样计划要么不可接受,要么不是最佳的。我们推导了一种新的验收抽样方案,并推荐了它的应用。本文的补充材料可在线获取。
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引用次数: 0
Failure and Success in Political Polling and Election Forecasting 政治民意调查和选举预测的成败
IF 1.6 Q2 Mathematics Pub Date : 2021-01-01 DOI: 10.1080/2330443X.2021.1971126
A. Gelman
Abstract The recent successes and failures of political polling invite several questions: Why did the polls get it wrong in some high-profile races? Conversely, how is it that polls can perform so well, even given all the evident challenges of conducting and interpreting them?
摘要最近政治民调的成功和失败引发了几个问题:为什么民调在一些备受瞩目的竞选中出错了?相反,即使在进行和解释民意调查时面临着明显的挑战,民意调查怎么会表现得如此出色?
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引用次数: 3
The Contagion of Mass Shootings: The Interdependence of Large-Scale Massacres and Mass Media Coverage 大规模枪击的传染:大规模枪击与媒体报道的相互依存
IF 1.6 Q2 Mathematics Pub Date : 2021-01-01 DOI: 10.1080/2330443X.2021.1932645
J. Fox, Nathan Sanders, Emma E. Fridel, G. Duwe, M. Rocque
ABSTRACT Mass public shootings have generated significant levels of fear in the recent years, with many observers criticizing the media for fostering a moral panic, if not an actual rise in the frequency of such attacks. Scholarly research suggests that the media can potentially impact the prevalence of mass shootings in two respects: (i) some individuals may be inspired to mimic the actions of highly publicized offenders; and (ii) a more general contagion process may manifest as a temporary increase in the likelihood of shootings associated with a triggering event. In this study of mass shootings since 2000, we focus on short-term contagion, rather than imitation that can traverse years. Specifically, after highlighting the sequencing of news coverage prior and subsequent to mass shootings, we apply multivariate point process models to disentangle the correlated incidence of mass public shootings and news coverage of such events. The findings suggest that mass public shootings have a strong effect on the level of news reporting, but that news reporting on the topic has little impact, at least in the relative short-term, on the subsequent prevalence of mass shootings. Finally, the results appear to rule out the presence of strong self-excitation of mass shootings, placing clear limits on generalized short-term contagion effects. Supplementary files for this article are available online.
摘要近年来,大规模公共枪击事件引发了极大的恐惧,许多观察人士批评媒体助长了道德恐慌,如果不是这种袭击频率的实际上升的话。学术研究表明,媒体可能在两个方面影响大规模枪击事件的流行:(i)一些人可能会受到启发,模仿备受关注的罪犯的行为;以及(ii)更普遍的传染过程可能表现为与触发事件相关的枪击可能性的暂时增加。在这项关于2000年以来大规模枪击事件的研究中,我们关注的是短期传染,而不是可能持续数年的模仿。具体而言,在强调大规模枪击事件前后新闻报道的顺序后,我们应用多变量点过程模型来理清大规模公共枪击事件的相关发生率和此类事件的新闻报道。研究结果表明,大规模公共枪击事件对新闻报道水平有很大影响,但有关该主题的新闻报道对随后大规模枪击事件的流行率几乎没有影响,至少在相对短期内是这样。最后,研究结果似乎排除了大规模枪击事件存在强烈的自我激励,明确限制了普遍的短期传染效应。本文的补充文件可在线获取。
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引用次数: 11
Statisticians Engage in Gun Violence Research 统计学家从事枪支暴力研究
IF 1.6 Q2 Mathematics Pub Date : 2021-01-01 DOI: 10.1080/2330443X.2021.1978354
James Rosenberger, G. Ridgeway, Lingzhou Xue
Abstract Government reports document more than 14,000 homicides and more than 195,000 aggravated assaults with firearms in 2017. In addition, there were 346 mass shootings, with 4 or more victims, including over 2000 people shot. These statistics do not include suicides (two-thirds of gun deaths) or accidents (5% of gun deaths). This article describes statistical issues discussed at a national forum to stimulate collaboration between statisticians and criminologists. Topics include: (i) available data sources and their shortcomings and efforts to improve the quality, and alternative new data registers of shootings; (ii) gun violence patterns and trends, with statistical models and clustering effects in urban areas; (iii) research for understanding effective strategies for gun violence prevention and the role of the police in solving gun homicides; (iv) the role of reliable forensic science in solving cases involving shootings; and (v) the topic of police shootings, where they are more prevalent and the characteristics of the officers involved. The final section calls the statistical community to engage in collaborations with social scientists to provide the most effective methodological tools for understanding and mitigating the societal problem of gun violence.
摘要政府报告记录了2017年14000多起凶杀案和195000多起持枪严重袭击案。此外,还发生了346起大规模枪击事件,4名或4名以上受害者,其中2000多人被枪杀。这些统计数据不包括自杀(占枪支死亡人数的三分之二)或事故(占枪支死亡率的5%)。这篇文章描述了在一个国家论坛上讨论的统计问题,以促进统计学家和犯罪学家之间的合作。主题包括:(i)现有的数据来源及其缺点和提高质量的努力,以及枪击事件的替代新数据登记册;二枪支暴力的模式和趋势,以及城市地区的统计模型和聚集效应;三研究如何理解预防枪支暴力的有效战略以及警察在解决枪支凶杀案中的作用;(iv)可靠的法医学在解决枪击案中的作用;以及(v)警察枪击案的主题,枪击案在哪里更为普遍,以及涉案警察的特点。最后一节呼吁统计界与社会科学家合作,为理解和缓解枪支暴力的社会问题提供最有效的方法工具。
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引用次数: 0
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 Mathematics 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 Mathematics 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 Mathematics 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 Mathematics 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
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Statistics and Public Policy
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