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Causal Mediation Analysis in the Presence of a Misclassified Binary Exposure 存在误分类二元暴露的因果中介分析
Q3 Mathematics Pub Date : 2019-11-29 DOI: 10.1515/em-2016-0006
Zhichao Jiang, T. VanderWeele
Abstract Mediation analysis is popular in examining the extent to which the effect of an exposure on an outcome is through an intermediate variable. When the exposure is subject to misclassification, the effects estimated can be severely biased. In this paper, when the mediator is binary, we first study the bias on traditional direct and indirect effect estimates in the presence of conditional non-differential misclassification of a binary exposure. We show that in the absence of interaction, the misclassification of the exposure will bias the direct effect towards the null but can bias the indirect effect in either direction. We then develop an EM algorithm approach to correcting for the misclassification, and conduct simulation studies to assess the performance of the correction approach. Finally, we apply the approach to National Center for Health Statistics birth certificate data to study the effect of smoking status on the preterm birth mediated through pre-eclampsia.
摘要中介分析在检查暴露对结果的影响程度是通过中间变量进行的方面很受欢迎。当暴露受到错误分类时,估计的影响可能有严重偏差。在本文中,当中介为二元时,我们首先研究了二元暴露存在条件非微分错分类时传统直接效应和间接效应估计的偏差。我们表明,在没有相互作用的情况下,暴露的错误分类将使直接效应向零偏倚,但可以使间接效应向两个方向偏倚。然后,我们开发了一种EM算法方法来纠正错误分类,并进行仿真研究来评估纠正方法的性能。最后,我们将此方法应用于国家卫生统计中心的出生证明数据,研究吸烟状况对通过先兆子痫介导的早产的影响。
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引用次数: 3
Regression analysis of unmeasured confounding 未测量混杂因素的回归分析
Q3 Mathematics Pub Date : 2019-08-22 DOI: 10.1515/em-2019-0028
B. Knaeble, B. Osting, M. Abramson
Abstract When studying the causal effect of x on y, researchers may conduct regression and report a confidence interval for the slope coefficient β x ${beta }_{x}$ . This common confidence interval provides an assessment of uncertainty from sampling error, but it does not assess uncertainty from confounding. An intervention on x may produce a response in y that is unexpected, and our misinterpretation of the slope happens when there are confounding factors w. When w are measured we may conduct multiple regression, but when w are unmeasured it is common practice to include a precautionary statement when reporting the confidence interval, warning against unwarranted causal interpretation. If the goal is robust causal interpretation then we can do something more informative. Uncertainty, in the specification of three confounding parameters can be propagated through an equation to produce a confounding interval. Here, we develop supporting mathematical theory and describe an example application. Our proposed methodology applies well to studies of a continuous response or rare outcome. It is a general method for quantifying error from model uncertainty. Whereas, confidence intervals are used to assess uncertainty from unmeasured individuals, confounding intervals can be used to assess uncertainty from unmeasured attributes.
在研究x对y的因果关系时,研究人员可以进行回归并报告斜率系数β x ${beta}_{x}$的置信区间。这个通用置信区间提供了抽样误差不确定性的评估,但它不能评估混杂的不确定性。对x的干预可能会在y中产生意想不到的响应,当存在混淆因素w时,我们对斜率的误解就会发生。当w被测量时,我们可能会进行多元回归,但当w未被测量时,通常的做法是在报告置信区间时包括预防性声明,警告不合理的因果解释。如果目标是健全的因果解释,那么我们可以做一些更有信息量的事情。不确定性,在规定的三个混杂参数可以通过一个方程传播产生一个混杂区间。在这里,我们开发了支持数学理论并描述了一个示例应用程序。我们提出的方法适用于连续反应或罕见结果的研究。这是对模型不确定性误差进行量化的一般方法。然而,置信区间用于评估来自未测量个体的不确定性,混淆区间可用于评估来自未测量属性的不确定性。
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引用次数: 4
Instrumental Variable Estimation with the R Package ivtools 工具变量估计与R包ivtools
Q3 Mathematics Pub Date : 2019-07-20 DOI: 10.1515/EM-2018-0024
Arvid Sjolander, T. Martinussen
Abstract Instrumental variables is a popular method in epidemiology and related fields, to estimate causal effects in the presence of unmeasured confounding. Traditionally, instrumental variable analyses have been confined to linear models, in which the causal parameter of interest is typically estimated with two-stage least squares. Recently, the methodology has been extended in several directions, including two-stage estimation and so-called G-estimation in nonlinear (e. g. logistic and Cox proportional hazards) models. This paper presents a new R package, ivtools, which implements many of these new instrumental variable methods. We briefly review the theory of two-stage estimation and G-estimation, and illustrate the functionality of the ivtools package by analyzing publicly available data from a cohort study on vitamin D and mortality.
工具变量是流行病学和相关领域中常用的一种方法,用于估计存在未测量混杂因素时的因果效应。传统上,工具变量分析仅限于线性模型,其中感兴趣的因果参数通常用两阶段最小二乘法估计。近年来,该方法在多个方向上得到了扩展,包括两阶段估计和非线性(如非线性)中的g估计。logistic和Cox比例风险)模型。本文提出了一个新的R包,ivtools,它实现了许多这些新的工具变量方法。我们简要回顾了两阶段估计和g估计的理论,并通过分析一项关于维生素D和死亡率的队列研究的公开数据来说明ivtools包的功能。
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引用次数: 33
Posterior predictive treatment assignment methods for causal inference in the context of time-varying treatments 时变治疗背景下因果推理的后验预测治疗分配方法
Q3 Mathematics Pub Date : 2019-07-15 DOI: 10.1515/em-2019-0024
Shirley X Liao, Lucas R. F. Henneman, C. Zigler
Abstract Marginal structural models (MSM) with inverse probability weighting (IPW) are used to estimate causal effects of time-varying treatments, but can result in erratic finite-sample performance when there is low overlap in covariate distributions across different treatment patterns. Modifications to IPW which target the average treatment effect (ATE) estimand either introduce bias or rely on unverifiable parametric assumptions and extrapolation. This paper extends an alternate estimand, the ATE on the overlap population (ATO) which is estimated on a sub-population with a reasonable probability of receiving alternate treatment patterns in time-varying treatment settings. To estimate the ATO within an MSM framework, this paper extends a stochastic pruning method based on the posterior predictive treatment assignment (PPTA) (Zigler, C. M., and M. Cefalu. 2017. “Posterior Predictive Treatment Assignment for Estimating Causal Effects with Limited Overlap.” eprint arXiv:1710.08749.) as well as a weighting analog (Li, F., K. L. Morgan, and A. M. Zaslavsky. 2018. “Balancing Covariates via Propensity Score Weighting.” Journal of the American Statistical Association 113: 390–400, https://doi.org/10.1080/01621459.2016.1260466.) to the time-varying treatment setting. Simulations demonstrate the performance of these extensions compared against IPW and stabilized weighting with regard to bias, efficiency, and coverage. Finally, an analysis using these methods is performed on Medicare beneficiaries residing across 18,480 ZIP codes in the U.S. to evaluate the effect of coal-fired power plant emissions exposure on ischemic heart disease (IHD) hospitalization, accounting for seasonal patterns that lead to change in treatment over time.
具有逆概率加权(IPW)的边际结构模型(MSM)用于估计时变处理的因果效应,但当不同处理模式的协变量分布重叠度较低时,可能导致有限样本性能不稳定。针对平均治疗效果(ATE)估计的IPW修改要么引入偏差,要么依赖于无法验证的参数假设和外推。本文扩展了一个替代估计,即重叠群体(ATO)的ATE,该估计是在时变治疗设置中接受替代治疗模式的合理概率的亚群体上估计的。为了在MSM框架内估计ATO,本文扩展了一种基于后检预测处理分配(PPTA)的随机修剪方法(Zigler, C. M.和M. Cefalu. 2017)。“估计有限重叠因果效应的后验预测治疗分配”。)以及加权模拟(Li, F., K. L. Morgan, and a . M. Zaslavsky. 2018)。“通过倾向得分加权平衡协变量。”美国统计协会杂志113:390-400,https://doi.org/10.1080/01621459.2016.1260466.)的时变治疗设置。仿真证明了这些扩展与IPW和稳定加权相比在偏置、效率和覆盖方面的性能。最后,使用这些方法对居住在美国18480个邮政编码的医疗保险受益人进行了分析,以评估燃煤电厂排放暴露对缺血性心脏病(IHD)住院治疗的影响,并考虑了导致治疗随时间变化的季节性模式。
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引用次数: 0
Analysing Interrupted Time Series with a Control 带控制的中断时间序列分析
Q3 Mathematics Pub Date : 2019-05-29 DOI: 10.1515/EM-2018-0010
AnthonyG. Scott, V. Isham
Abstract Interrupted time series are increasingly being used to evaluate the population-wide implementation of public health interventions. However, the resulting estimates of intervention impact can be severely biased if underlying disease trends are not adequately accounted for. Control series offer a potential solution to this problem, but there is little guidance on how to use them to produce trend-adjusted estimates. To address this lack of guidance, we show how interrupted time series can be analysed when the control and intervention series share confounders, i. e. when they share a common trend. We show that the intervention effect can be estimated by subtracting the control series from the intervention series and analysing the difference using linear regression or, if a log-linear model is assumed, by including the control series as an offset in a Poisson regression with robust standard errors. The methods are illustrated with two examples.
中断时间序列越来越多地被用于评估全人群公共卫生干预措施的实施情况。然而,如果没有充分考虑潜在的疾病趋势,由此得出的干预影响估计可能存在严重偏差。控制序列为这个问题提供了一个潜在的解决方案,但是很少有关于如何使用它们来产生趋势调整估计的指导。为了解决这种缺乏指导的问题,我们展示了当控制和干预序列共享混杂因素时,如何分析中断时间序列。当他们有一个共同的趋势。我们表明,可以通过从干预序列中减去控制序列并使用线性回归分析差异来估计干预效果,或者,如果假设是对数线性模型,则可以通过将控制序列作为具有稳健标准误差的泊松回归中的偏移量来估计干预效果。用两个实例说明了这些方法。
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引用次数: 42
The choice of effect measure for binary outcomes: Introducing counterfactual outcome state transition parameters. 二元结果效果测度的选择:引入反事实结果状态转换参数。
Q3 Mathematics Pub Date : 2018-12-01 Epub Date: 2018-07-27 DOI: 10.1515/em-2016-0014
Anders Huitfeldt, Andrew Goldstein, Sonja A Swanson

Standard measures of effect, including the risk ratio, the odds ratio, and the risk difference, are associated with a number of well-described shortcomings, and no consensus exists about the conditions under which investigators should choose one effect measure over another. In this paper, we introduce a new framework for reasoning about choice of effect measure by linking two separate versions of the risk ratio to a counterfactual causal model. In our approach, effects are defined in terms of "counterfactual outcome state transition parameters", that is, the proportion of those individuals who would not have been a case by the end of follow-up if untreated, who would have responded to treatment by becoming a case; and the proportion of those individuals who would have become a case by the end of follow-up if untreated who would have responded to treatment by not becoming a case. Although counterfactual outcome state transition parameters are generally not identified from the data without strong monotonicity assumptions, we show that when they stay constant between populations, there are important implications for model specification, meta-analysis, and research generalization.

标准的效果衡量标准,包括风险比、比值比和风险差,与许多被充分描述的缺点有关,对于研究人员应该选择一种效果衡量标准而不是另一种效果测量标准的条件,没有达成共识。在本文中,我们引入了一个新的框架,通过将风险比的两个不同版本与反事实因果模型联系起来,来推理效果度量的选择。在我们的方法中,效应是根据“反事实结果-状态转换参数”来定义的,即如果不治疗,在随访结束时不会成为病例的个体的比例,他们会通过成为病例来对治疗做出反应;以及如果不治疗,在随访结束时会成为病例的人中,对治疗有反应的人不会成为病例的比例。尽管在没有强单调性假设的情况下,通常不会从数据中识别出反事实的结果-状态转换参数,但我们表明,当它们在人群之间保持不变时,对模型规范、荟萃分析和研究概括具有重要意义。
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引用次数: 14
Estimating Case-Fatality Reduction from Randomized Screening Trials 从随机筛选试验中估计病死率降低
Q3 Mathematics Pub Date : 2018-11-07 DOI: 10.1515/EM-2018-0007
S. Saha, Z. Liu, O. Saarela
Abstract In randomized cancer screening trials where asymptomatic individuals are assigned to undergo a regimen of screening examinations or standard care, the primary objective typically is to estimate the effect of screening assignment on cancer-specific mortality by carrying out an ’intention-to-screen’ analysis. However, most of the participants in the trial will be cancer-free; only those developing a genuine cancer that is screening-detectable can potentially benefit from screening induced early treatments. Here we consider measuring the effect of early treatments in this partially latent subpopulation in terms of reduction in case fatality. To formalize the estimands and identifying assumptions in a causal modeling framework, we first define two measures, namely proportional and absolute case-fatality reduction, using potential outcomes notation. We re-derive an earlier proposed estimator for the former, and propose a new estimator for the latter motivated by the instrumental variable approach. The methods are illustrated using data from the US National Lung Screening Trial, with specific attention to estimation in the presence of censoring and competing risks.
在随机癌症筛查试验中,无症状个体被分配接受筛查检查或标准护理方案,主要目标通常是通过进行“意向筛查”分析来估计筛查分配对癌症特异性死亡率的影响。然而,试验中的大多数参与者都没有癌症;只有那些真正的癌症可以通过筛查检测到的人才有可能从筛查诱导的早期治疗中获益。在这里,我们考虑从降低病死率的角度来衡量在这个部分潜伏亚群中早期治疗的效果。为了形式化估计并确定因果建模框架中的假设,我们首先使用潜在结果符号定义了两种测量方法,即比例和绝对病死率降低。我们对前者重新推导了先前提出的估计量,并在工具变量方法的激励下对后者提出了一个新的估计量。这些方法使用来自美国国家肺筛查试验的数据进行说明,特别注意在审查和竞争风险存在的情况下进行估计。
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引用次数: 2
The Pseudo-Observation Analysis of Time-To-Event Data. Example from the Danish Diet, Cancer and Health Cohort Illustrating Assumptions, Model Validation and Interpretation of Results 事件时间数据的伪观测分析。以丹麦饮食、癌症和健康队列为例,说明假设、模型验证和结果解释
Q3 Mathematics Pub Date : 2018-10-16 DOI: 10.1515/EM-2017-0015
L. M. Mortensen, C. P. Hansen, K. Overvad, S. Lundbye-Christensen, E. Parner
Abstract Regression analyses for time-to-event data are commonly performed by Cox regression. Recently, an alternative method, the pseudo-observation method, has been introduced. This method offers new possibilities of analyzing data exploring cumulative risks on both a multiplicative and an additive risk scale, in contrast to the multiplicative Cox regression model for hazard rates. Hence, the pseudo-observation method enables assessment of interaction on an additive scale. However, the pseudo-observation method implies more strict model assumptions regarding entry and censoring but avoids the assumption of proportional hazards (except from combined analyses of several time intervals where assumptions of constant hazard ratios, risk differences and relative risks may be imposed). Only few descriptions of the use of the method are accessible for epidemiologists. In this paper, we present the pseudo-observation method from a user-oriented point of view aiming at facilitating the use of this relatively new analytical tool. Using data from the Diet, Cancer and Health Cohort we give a detailed example of the application of the pseudo-observation method on time-to-event data with delayed entry and right censoring. We discuss model control and suggest analytic strategies when assumptions are not met. The introductory model control in the data example showed that data did not fulfill the assumptions of the pseudo-observation method. This was caused by selection of healthier participants at older baseline ages and a change in the distribution of study participants according to outcome risk during the inclusion period. Both selection effects need to be addressed in any time-to-event analysis and we show how these effects are accounted for in the pseudo-observation analysis. The pseudo-observation method provides us with a statistical tool which makes it possible to analyse cohort data on both multiplicative and additive risk scales including assessment of biological interaction on the risk difference scale. Thus, it might be a relevant choice of method – especially if the focus is to investigate interaction from a public health point of view.
摘要对事件时间数据的回归分析通常采用Cox回归。最近,一种替代方法——伪观察法被引入。与危险率的乘法Cox回归模型相比,该方法为在乘法和加性风险尺度上分析数据探索累积风险提供了新的可能性。因此,伪观测方法能够在加性尺度上评估相互作用。然而,伪观测方法意味着对进入和审查的更严格的模型假设,但避免了比例风险的假设(除了对几个时间间隔的组合分析,其中可能会施加恒定的风险比、风险差异和相对风险的假设)。流行病学家只能获得很少的关于该方法使用的说明。在本文中,我们从面向用户的角度提出了伪观测方法,旨在促进这种相对较新的分析工具的使用。利用来自饮食、癌症和健康队列的数据,我们给出了伪观察方法在延迟输入和正确审查的事件时间数据上的应用的详细示例。我们讨论模型控制,并提出分析策略,当假设不满足。数据示例中的引入模型控制表明,数据不满足伪观测方法的假设。这是由于选择了基线年龄较大的健康参与者,以及根据纳入期间的结果风险,研究参与者的分布发生了变化。这两种选择效应都需要在任何时间到事件的分析中解决,我们展示了这些效应是如何在伪观察分析中被解释的。伪观察法为我们提供了一种统计工具,使我们能够分析乘法和加性风险量表上的队列数据,包括评估风险差异量表上的生物相互作用。因此,这可能是一种相关的方法选择——特别是如果重点是从公共卫生的角度调查相互作用。
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引用次数: 6
An Instrumental Variables Design for the Effect of Emergency General Surgery 急诊普外科效果的工具变量设计
Q3 Mathematics Pub Date : 2018-10-02 DOI: 10.1515/EM-2017-0012
L. Keele, C. Sharoky, M. Sellers, C. Wirtalla, R. Kelz
Abstract Confounding by indication is a critical challenge in evaluating the effectiveness of surgical interventions using observational data. The threat from confounding is compounded when using medical claims data due to the inability to measure risk severity. If there are unobserved differences in risk severity across patients, treatment effect estimates based on methods such a multivariate regression may be biased in an unknown direction. A research design based on instrumental variables offers one possibility for reducing bias from unobserved confounding compared to risk adjustment with observed confounders. This study investigates whether a physician’s preference for operative care is a valid instrumental variable for studying the effect of emergency surgery. We review the plausibility of the necessary causal assumptions in an investigation of the effect of emergency general surgery (EGS) on inpatient mortality among adults using medical claims data from Florida, Pennsylvania, and New York in 2012–2013. In a departure from the extant literature, we use the framework of stochastic monotonicity which is more plausible in the context of a preference-based instrument. We compare estimates from an instrumental variables design to estimates from a design based on matching that assumes all confounders are observed. Estimates from matching show lower mortality rates for patients that undergo EGS compared to estimates based in the instrumental variables framework. Results vary substantially by condition type. We also present sensitivity analyses as well as bounds for the population level average treatment effect. We conclude with a discussion of the interpretation of estimates from both approaches.
根据观察数据评估手术干预的有效性时,指征混淆是一个关键的挑战。在使用医疗索赔数据时,由于无法衡量风险的严重程度,混淆的威胁更加严重。如果患者之间的风险严重程度存在未观察到的差异,则基于多变量回归等方法的治疗效果估计可能会偏向未知方向。基于工具变量的研究设计提供了一种可能性,可以减少由未观察到的混杂因素引起的偏倚,而不是由观察到的混杂因素进行风险调整。本研究探讨医师对手术护理的偏好是否为研究急诊手术效果的有效工具变量。我们利用2012-2013年佛罗里达州、宾夕法尼亚州和纽约州的医疗索赔数据,回顾了急诊普通外科手术(EGS)对成人住院患者死亡率影响的调查中必要因果假设的合理性。在与现有文献的背离中,我们使用随机单调性框架,这在基于偏好的工具的背景下更合理。我们比较了工具变量设计的估计和基于匹配的设计的估计,假设所有混杂因素都被观察到。匹配估计显示,与基于工具变量框架的估计相比,接受EGS的患者死亡率较低。结果因条件类型而有很大差异。我们还提出了敏感性分析以及总体水平平均治疗效果的界限。最后,我们讨论了两种方法对估计的解释。
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引用次数: 16
New Challenges in HIV Research: Combining Phylogenetic Cluster Size and Epidemiological Data HIV研究的新挑战:结合系统发育聚类大小和流行病学数据
Q3 Mathematics Pub Date : 2018-09-20 DOI: 10.1515/EM-2017-0017
Nabila Parveen, E. Moodie, J. Cox, G. Lambert, J. Otis, M. Roger, B. Brenner
Abstract An exciting new direction in HIV research is centered on using molecular phylogenetics to understand the social and behavioral drivers of HIV transmission. SPOT was an intervention designed to offer HIV point of care testing to men who have sex with men at a community-based site in Montreal, Canada; at the time of testing, a research questionnaire was also deployed to collect data on socio-demographic and behavioral characteristics of participating men. The men taking part in SPOT could be viewed, from the research perspective, as having been recruited via a convenience sample. Among men who were found to be HIV positive, phylogenetic cluster size was measured using a large cohort of HIV-positive individuals in the province of Quebec. The cluster size is likely subject to under-estimation. In this paper, we use SPOT data to evaluate the association between HIV transmission cluster size and the number of sex partners for MSM, after adjusting for the SPOT sampling scheme and correcting for measurement error in cluster size by leveraging external data sources. The sampling weights for SPOT participants were calculated from another study of men who have sex with men in Montreal by fitting a weight-adjusted model, whereas measurement error was corrected using the simulation-extrapolation conditional on covariates approach.
利用分子系统遗传学来了解HIV传播的社会和行为驱动因素是HIV研究的一个令人兴奋的新方向。SPOT是一项干预措施,旨在在加拿大蒙特利尔的一个社区站点为男男性行为者提供艾滋病毒护理点检测;在测试的同时,研究问卷也被用来收集参与测试的男性的社会人口统计和行为特征的数据。从研究的角度来看,参加SPOT的男性可以被视为是通过方便样本招募的。在发现HIV阳性的男性中,使用魁北克省HIV阳性个体的大型队列来测量系统发育簇大小。集群大小可能会被低估。在本文中,我们利用SPOT数据来评估艾滋病毒传播集群大小与MSM性伴侣数量之间的关系,在调整了SPOT采样方案并利用外部数据源纠正了集群大小的测量误差之后。SPOT参与者的抽样权重是根据另一项对蒙特利尔男男性行为者的研究,通过拟合一个体重调整模型计算出来的,而测量误差是使用协变量方法的模拟外推条件来修正的。
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引用次数: 3
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Epidemiologic Methods
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