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Meeting the Assumptions of Inverse-Intensity Weighting for Longitudinal Data Subject to Irregular Follow-Up: Suggestions for the Design and Analysis of Clinic-Based Cohort Studies 满足不规则随访纵向数据的反强度加权假设:对临床队列研究设计与分析的建议
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2018-0016
E. Pullenayegum
Abstract Clinic-based cohort studies enroll patients on first being admitted to the clinic, and follow them as part of usual care, with interest being in the marginal mean of the outcome process. As the required frequency of follow-up varies among patients, these studies often feature irregular visit times, with no two patients sharing a visit time. Inverse-intensity weighting has been developed to handle this, however it requires that the visit process be conditionally independent of the outcome given the observed history. When patients schedule visits in response to changes in their health (for example a disease flare), the conditional independence assumption is no longer plausible, leading to biased results. We suggest additional information that can be collected to ensure that conditional independence holds, and examine how this might be used in the analysis. This allows clinic-based cohort studies to be used to determine longitudinal outcomes without incurring bias due to irregular follow-up.
基于临床的队列研究在患者首次进入诊所时进行登记,并将其作为常规护理的一部分进行随访,对结果过程的边际平均值感兴趣。由于患者所需的随访频率不同,这些研究通常具有不规律的就诊时间,没有两个患者共用一次就诊时间。为了解决这个问题,已经开发了逆强度加权,但是它要求访问过程与给定观察历史的结果有条件地独立。当病人根据自己的健康变化(例如疾病爆发)安排就诊时,条件独立假设不再合理,导致结果有偏差。我们建议可以收集额外的信息来确保条件独立性,并检查如何在分析中使用这些信息。这使得基于临床的队列研究可以用于确定纵向结果,而不会因不规则随访而产生偏倚。
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引用次数: 0
A comparison of approaches for estimating combined population attributable risks (PARs) for multiple risk factors 多种危险因素的综合人群归因风险(PARs)估算方法的比较
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2019-0021
Y. Ruan, S. Walter, C. Friedenreich, D. Brenner
Abstract Objectives The methods to estimate the population attributable risk (PAR) of a single risk factor or the combined PAR of multiple risk factors have been extensively studied and well developed. Ideally, the estimation of combined PAR of multiple risk factors should be based on large cohort studies, which account for both the joint distributions of risk exposures and for their interactions. However, because such individual-level data are often lacking, many studies estimate the combined PAR using a comparative risk assessment framework. It involves estimating PAR of each risk factor based on its prevalence and relative risk, and then combining the individual PARs using an approach that relies on two key assumptions: that the distributions of exposures to the risk factors are independent and that the relative risks are multiplicative. While such assumptions rarely hold true in practice, no studies have investigated the magnitude of bias incurred if the assumptions are violated. Methods Using simulation-based models, we compared the combined PARs obtained with this approach to the more accurate estimates of PARs that are available when the joint distributions of exposures and risks can be established. Results We show that the assumptions of exposure independence and risk multiplicativity are sufficient but not necessary for the combined PAR to be unbiased. In the simplest situation of two risk factors, the bias of this approach is a function of the strength of association and the magnitude of risk interaction, for any values of exposure prevalence and their associated risks. In some cases, the combined PAR can be strongly under- or over-estimated, even if the two assumptions are only slightly violated. Conclusions We encourage researchers to quantify likely biases in their use of the M–S method, and here, we provided level plots and R code to assist.
摘要目的单一危险因素或多种危险因素的人群归因风险(PAR)的估计方法已经得到了广泛的研究和发展。理想情况下,对多个风险因素的联合PAR的估计应该基于大型队列研究,这些研究既考虑了风险暴露的联合分布,也考虑了它们之间的相互作用。然而,由于经常缺乏这种个人层面的数据,许多研究使用比较风险评估框架来估计综合PAR。它包括根据其流行程度和相对风险估计每个风险因素的PAR,然后使用一种依赖于两个关键假设的方法将单个PAR结合起来:风险因素暴露的分布是独立的,相对风险是倍增的。虽然这些假设在实践中很少成立,但没有研究调查如果违反这些假设所产生的偏见的程度。方法使用基于模拟的模型,我们将该方法获得的综合par与可以建立暴露和风险联合分布时可用的更准确的par估计进行了比较。结果表明,暴露独立性和风险乘数的假设是充分的,但不是联合PAR无偏的必要条件。在两个风险因素的最简单情况下,对于任何暴露流行率及其相关风险值,这种方法的偏差是关联强度和风险相互作用程度的函数。在某些情况下,合并PAR可能严重低估或高估,即使这两个假设只是略有违反。我们鼓励研究人员在使用M-S方法时量化可能的偏差,在这里,我们提供了水平图和R代码来辅助。
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引用次数: 0
Extending balance assessment for the generalized propensity score under multiple imputation 多重归算下广义倾向评分的扩展平衡评价
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2019-0003
Anna S. Frank, D. Matteson, H. Solvang, A. Lupattelli, H. Nordeng
Abstract This manuscript extends the definition of the Absolute Standardized Mean Difference (ASMD) for binary exposure (M = 2) to cases for M > 2 on multiple imputed data sets. The Maximal Maximized Standardized Difference (MMSD) and the Maximal Averaged Standardized Difference (MASD) were proposed. For different percentages, missing data were introduced in covariates in the simulated data based on the missing at random (MAR) assumption. We then investigate the performance of these two metric definitions using simulated data of full and imputed data sets. The performance of the MASD and the MMSD were validated by relating the balance metrics to estimation bias. The results show that there is an association between the balance metrics and bias. The proposed balance diagnostics seem therefore appropriate to assess balance for the generalized propensity score (GPS) under multiple imputation.
本文将二元暴露(M = 2)的绝对标准化平均差(ASMD)的定义扩展到多个输入数据集上M > 2的情况。提出了最大最大标准化差(MMSD)和最大平均标准化差(MASD)。基于随机缺失(missing at random, MAR)假设,在模拟数据的协变量中引入不同百分比的缺失数据。然后,我们使用完整和输入数据集的模拟数据来研究这两种度量定义的性能。通过将平衡度量与估计偏差相关联,验证了MASD和MMSD的性能。结果表明,在平衡指标和偏差之间存在关联。因此,所提出的平衡诊断似乎适合于评估多重归算下广义倾向评分(GPS)的平衡。
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引用次数: 2
A real-time search strategy for finding urban disease vector infestations 寻找城市病媒侵扰的实时搜索策略
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2020-0001
E. B. Rose, J. Roy, R. Castillo-Neyra, M. Ross, C. Condori-Pino, J. Peterson, César Náquira-Velarde, M. Levy
Abstract Objectives Containing domestic vector infestation requires the ability to swiftly locate and treat infested homes. In urban settings where vectors are heterogeneously distributed throughout a dense housing matrix, the task of locating infestations can be challenging. Here, we present a novel stochastic compartmental model developed to help locate infested homes in urban areas. We designed the model using infestation data for the Chagas disease vector species Triatoma infestans in Arequipa, Peru. Methods Our approach incorporates disease vector counts at each observed house, and the vector’s complex spatial dispersal dynamics. We used a Bayesian method to augment the observed data, estimate the insect population growth and dispersal parameters, and determine posterior infestation probabilities of households. We investigated the properties of the model through simulation studies, followed by field testing in Arequipa. Results Simulation studies showed the model to be accurate in its estimates of two parameters of interest: the growth rate of a domestic triatomine bug colony and the probability of a triatomine bug successfully invading a new home after dispersing from an infested home. When testing the model in the field, data collection using model estimates was hindered by low household participation rates, which severely limited the algorithm and in turn, the model’s predictive power. Conclusions While future optimization efforts must improve the model’s capabilities when household participation is low, our approach is nonetheless an important step toward integrating data with predictive modeling to carry out evidence-based vector surveillance in cities.
控制家庭病媒侵扰需要快速定位和治疗受感染家庭的能力。在城市环境中,病媒在密集的住房矩阵中分布不均,定位侵染的任务可能具有挑战性。在这里,我们提出了一种新的随机分区模型,用于帮助定位城市地区的受感染房屋。我们利用秘鲁阿雷基帕地区恰加斯病媒介物种Triatoma infestans的感染数据设计了该模型。方法结合所观察房屋的病媒数量,以及病媒复杂的空间传播动态。我们使用贝叶斯方法扩充观测数据,估计昆虫种群的生长和扩散参数,并确定家庭的后验感染概率。我们通过模拟研究研究了该模型的性质,随后在阿雷基帕进行了现场测试。结果仿真研究表明,该模型对两个重要参数的估计是准确的:家蝇triatomine臭虫种群的增长率和家蝇triatomine臭虫从受感染的家庭分散后成功入侵新家庭的概率。在现场测试模型时,使用模型估计的数据收集受到家庭参与率低的阻碍,这严重限制了算法,进而限制了模型的预测能力。虽然未来的优化工作必须在家庭参与率较低的情况下提高模型的能力,但我们的方法仍然是将数据与预测建模相结合,在城市开展基于证据的病媒监测的重要一步。
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引用次数: 1
The mean prevalence 平均患病率
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2019-0033
F. Habibzadeh, P. Habibzadeh
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引用次数: 2
Population attributable fractions for continuously distributed exposures 连续分布暴露的人口归因分数
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2019-0037
J. Ferguson, Fabrizio Maturo, S. Yusuf, M. O’Donnell
Abstract When estimating population attributable fractions (PAF), it is common to partition a naturally continuous exposure into a categorical risk factor. While prior risk factor categorization can help estimation and interpretation, it can result in underestimation of the disease burden attributable to the exposure as well as biased comparisons across different exposures and risk factors. Here, we propose sensible PAF estimands for continuous exposures under a potential outcomes framework. In contrast to previous approaches, we incorporate estimation of the minimum risk exposure value (MREV) into our procedures. While for exposures such as tobacco usage, a sensible value of the MREV is known, often it is unknown and needs to be estimated. Second, in the setting that the MREV value is an extreme-value of the exposure lying in the distributional tail, we argue that the natural estimator of PAF may be both statistically biased and highly volatile; instead, we consider a family of modified PAFs which include the natural estimate of PAF as a limit. A graphical comparison of this set of modified PAF for differing risk factors may be a better way to rank risk factors as intervention targets, compared to the standard PAF calculation. Finally, we analyse the bias that may ensue from prior risk factor categorization, examining whether categorization is ever a good idea, and suggest interpretations of categorized-estimands within a causal inference setting.
在估计人群归因分数(PAF)时,通常将自然连续暴露划分为分类风险因素。虽然先前的风险因素分类有助于估计和解释,但它可能导致对可归因于暴露的疾病负担的低估,以及在不同暴露和风险因素之间进行有偏见的比较。在这里,我们提出了在潜在结果框架下持续暴露的合理PAF估计。与以前的方法相反,我们将最小风险暴露值(MREV)的估计纳入我们的程序。虽然对于烟草使用等暴露,已知的最大rev值是合理的,但它往往是未知的,需要估计。其次,在MREV值是分布尾部暴露的极值的情况下,我们认为PAF的自然估计量可能在统计上有偏差,并且具有高度的波动性;相反,我们考虑了一类修正的PAF,其中包括PAF的自然估计作为极限。与标准PAF计算方法相比,对这组针对不同危险因素的修正PAF进行图形比较可能是对危险因素作为干预目标进行排序的更好方法。最后,我们分析了可能从先前的风险因素分类中产生的偏差,检查分类是否曾经是一个好主意,并提出了在因果推理设置中对分类估计的解释。
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引用次数: 5
Extrapolating sparse gold standard cause of death designations to characterize broader catchment areas 外推稀疏的金标准死因名称来描述更广泛的流域
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2019-0031
R. Lyles, S. Cunningham, Suprateek Kundu, Q. Bassat, I. Mandomando, C. Sacoor, Victor Akelo, D. Onyango, Emily Zielinski-Gutierrez, Allan W. Taylor
Abstract Objectives The Child Health and Mortality Prevention Surveillance (CHAMPS) Network is designed to elucidate and track causes of under-5 child mortality and stillbirth in multiple sites in sub-Saharan Africa and South Asia using advanced surveillance, laboratory and pathology methods. Expert panels provide an arguable gold standard determination of underlying cause of death (CoD) on a subset of child deaths, in part through examining tissue obtained via minimally invasive tissue sampling (MITS) procedures. We consider estimating a population-level distribution of CoDs based on this sparse but precise data, in conjunction with data on subgrouping characteristics that are measured on the broader population of cases and are potentially associated with selection for MITS and with cause-specific mortality. Methods We illustrate how estimation of each underlying CoD proportion using all available data can be addressed equivalently in terms of a Horvitz-Thompson adjustment or a direct standardization, uncovering insights relevant to the designation of appropriate subgroups to adjust for non-representative sampling. Taking advantage of the functional form of the result when expressed as a multinomial distribution-based maximum likelihood estimator, we propose small-sample adjustments to Bayesian credible intervals based on Jeffreys or related weakly informative Dirichlet prior distributions. Results Our analyses of early data from CHAMPS sites in Kenya and Mozambique and accompanying simulation studies demonstrate the validity of the adjustment approach under attendant assumptions, together with marked performance improvements associated with the proposed adjusted Bayesian credible intervals. Conclusions Adjustment for non-representative sampling of those validated via gold standard diagnostic methods is a critical endeavor for epidemiologic studies like CHAMPS that seek extrapolation of CoD proportion estimates.
儿童健康和死亡预防监测(CHAMPS)网络旨在利用先进的监测、实验室和病理学方法,阐明和跟踪撒哈拉以南非洲和南亚多个地点5岁以下儿童死亡和死产的原因。专家小组通过检查通过微创组织取样(MITS)程序获得的组织,对一部分儿童死亡的潜在死因(CoD)提供了一个有争议的金标准。我们考虑根据这些稀疏但精确的数据,结合在更广泛的病例群体中测量的亚组特征数据,估计CoDs的人口水平分布,这些数据可能与MITS的选择和病因特异性死亡率有关。我们说明了如何使用所有可用数据来估计每个潜在的CoD比例,可以根据Horvitz-Thompson调整或直接标准化来等效地解决问题,揭示了与指定适当的子组以调整非代表性抽样相关的见解。利用结果的函数形式表示为基于多项分布的极大似然估计量,我们提出了基于Jeffreys或相关弱信息Dirichlet先验分布的贝叶斯可信区间的小样本调整。我们对肯尼亚和莫桑比克CHAMPS站点的早期数据进行了分析,并进行了相应的模拟研究,结果表明,在相应的假设下,调整方法的有效性,以及与所提出的调整贝叶斯可信区间相关的显著性能改进。通过金标准诊断方法验证的非代表性样本的调整对于像CHAMPS这样寻求CoD比例估计值外推的流行病学研究是至关重要的。
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引用次数: 1
Heterogeneous indirect effects for multiple mediators using interventional effect models 利用介入效应模型研究多种介质的异质性间接效应
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2020-0023
W. W. Loh, B. Moerkerke, T. Loeys, S. Vansteelandt
Abstract Decomposing an exposure effect on an outcome into separate natural indirect effects through multiple mediators requires strict assumptions, such as correctly postulating the causal structure of the mediators, and no unmeasured confounding among the mediators. In contrast, interventional indirect effects for multiple mediators can be identified even when – as often – the mediators either have an unknown causal structure, or share unmeasured common causes, or both. Existing estimation methods for interventional indirect effects require calculating each distinct indirect effect in turn. This can quickly become unwieldy or unfeasible, especially when investigating indirect effect measures that may be modified by observed baseline characteristics. In this article, we introduce simplified estimation procedures for such heterogeneous interventional indirect effects using interventional effect models. Interventional effect models are a class of marginal structural models that encode the interventional indirect effects as causal model parameters, thus readily permitting effect modification by baseline covariates using (statistical) interaction terms. The mediators and outcome can be continuous or noncontinuous. We propose two estimation procedures: one using inverse weighting by the counterfactual mediator density or mass functions, and another using Monte Carlo integration. The former has the advantage of not requiring an outcome model, but is susceptible to finite sample biases due to highly variable weights. The latter has the advantage of consistent estimation under a correctly specified (parametric) outcome model, but is susceptible to biases due to extrapolation. The estimators are illustrated using publicly available data assessing whether the indirect effects of self-efficacy on fatigue via self-reported post-traumatic stress disorder symptoms vary across different levels of negative coping among health care workers during the COVID-19 outbreak.
通过多种介质将暴露对结果的影响分解为单独的自然间接影响需要严格的假设,例如正确假设介质的因果结构,并且介质之间没有不可测量的混淆。相比之下,多种介质的干预性间接影响可以确定,即使(通常)介质要么具有未知的因果结构,要么具有无法测量的共同原因,或两者兼而有之。现有的干预间接效应估计方法需要依次计算每一种不同的间接效应。这可能很快变得笨拙或不可行,特别是在调查可能被观察到的基线特征修改的间接影响测量时。在本文中,我们介绍了使用干预效应模型对这种异质干预间接效应的简化估计方法。干预效应模型是一类边际结构模型,它将干预间接效应编码为因果模型参数,因此很容易允许使用(统计)相互作用项的基线协变量修改效果。介质和结果可以是连续的,也可以是非连续的。我们提出了两种估计方法:一种使用反事实中介密度或质量函数的逆加权,另一种使用蒙特卡罗积分。前者的优点是不需要结果模型,但由于高度可变的权重,它容易受到有限样本偏差的影响。后者在正确指定的(参数)结果模型下具有一致估计的优点,但由于外推而容易产生偏差。这些估计值是使用公开可用的数据来说明的,这些数据评估了自我效能感通过自我报告的创伤后应激障碍症状对疲劳的间接影响,在COVID-19疫情期间,卫生保健工作者的不同消极应对水平之间是否存在差异。
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引用次数: 7
A comparison of cause-specific and competing risk models to assess risk factors for dementia 评估痴呆危险因素的病因特异性和竞争风险模型的比较
Q3 Mathematics Pub Date : 2020-01-01 DOI: 10.1515/em-2019-0036
M. Waller, G. Mishra, A. Dobson
Abstract The study of dementia risk factors is complicated by the competing risk of dying. The standard approaches are the cause-specific Cox proportional hazard model with deaths treated as censoring events (and removed from the risk set) and the Fine and Gray sub-distribution hazard model in which those who die remain in the risk set. An alternative approach is to modify the risk set between these extremes. We propose a novel method of doing this based on estimating the time at which the person might have been diagnosed if they had not died using a parametric survival model, and then applying the cause-specific and Fine and Gray models to the modified dataset. We compare these methods using data on dementia from the Australian Longitudinal Study on Women’s Health and discuss the assumptions and limitations of each model. The results from survival models to assess risk factors for dementia varied considerably between the cause-specific model and the models designed to account for competing risks. Therefore, when assessing risk factors in the presence of competing risks it is important to examine results from: the cause-specific model, different models which account for competing risks, and the model which assesses risk factors associated with the competing risk.
死亡的竞争风险使痴呆危险因素的研究变得复杂。标准方法是病因特异性Cox比例风险模型,其中死亡被视为审查事件(并从风险集中删除),以及Fine和Gray子分布风险模型,其中死亡的人仍在风险集中。另一种方法是修改这两个极端之间的风险设置。我们提出了一种新的方法,该方法基于使用参数生存模型估计如果患者没有死亡,则患者可能被诊断的时间,然后将原因特定模型和Fine and Gray模型应用于修改后的数据集。我们使用澳大利亚妇女健康纵向研究的痴呆数据对这些方法进行比较,并讨论每个模型的假设和局限性。用于评估痴呆风险因素的生存模型的结果在病因特异性模型和用于考虑竞争风险的模型之间差异很大。因此,在评估存在竞争风险的风险因素时,重要的是要检查以下结果:特定原因模型,考虑竞争风险的不同模型,以及评估与竞争风险相关的风险因素的模型。
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引用次数: 2
Modeling of Clinical Phenotypes Assessed at Discrete Study Visits. 在离散研究访问中评估临床表型的建模。
Q3 Mathematics Pub Date : 2019-12-01 Epub Date: 2019-08-02 DOI: 10.1515/em-2018-0011
Emily J Huang, Ravi Varadhan, Michelle C Carlson

In studies of clinical phenotypes, such as dementia, disability, and frailty, participants are typically assessed at in-person clinic visits. Thus, the precise time of onset for the phenotype is unknown. The discreteness of the clinic visits yields grouped event time data. We investigate how to perform a risk factor analysis in the case of grouped data. Since visits can be months to years apart, numbers of ties can be large, causing the exact tie-handling method of the Cox model to be computationally infeasible. We propose two, new, computationally efficient approximations to the exact method: Laplace approximation and an analytic approximation. Through extensive simulation studies, we compare these new methods to the Prentice-Gloeckler model and the Cox model using Efron's and Breslow's tie-handling methods. In addition, we compare the methods in an application to a large cohort study (N = 3,605) on the development of clinical frailty in older adults. In our simulations, the Laplace approximation has low bias in all settings, and the analytic approximation has low bias in settings where the regression coefficient is not large in magnitude. Their corresponding confidence intervals also have approximately the nominal coverage probability. In the data application, the results from the approximations are nearly identical to that of the Prentice-Gloeckler model.

在临床表型的研究中,如痴呆、残疾和虚弱,参与者通常在亲自诊所就诊时进行评估。因此,确切的发病时间为表型是未知的。诊所访问的离散性产生分组事件时间数据。我们研究如何在分组数据的情况下进行风险因素分析。由于访问可能相隔数月至数年,因此联系的数量可能很大,导致Cox模型的确切联系处理方法在计算上不可行。我们提出了两种新的、计算效率高的近似方法:拉普拉斯近似和解析近似。通过广泛的模拟研究,我们将这些新方法与Prentice-Gloeckler模型以及使用Efron和Breslow的捆绑处理方法的Cox模型进行了比较。此外,我们将这些方法应用于一项大型队列研究(N = 3,605),研究老年人临床虚弱的发展。在我们的模拟中,拉普拉斯近似在所有设置中都具有低偏差,而解析近似在回归系数不是很大的设置中具有低偏差。它们对应的置信区间也近似于名义覆盖概率。在数据应用中,近似的结果与Prentice-Gloeckler模型的结果几乎相同。
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引用次数: 0
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Epidemiologic Methods
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