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Compartmental Model Diagrams as Causal Representations in Relation to DAGs. 作为与 DAG 相关的因果关系表示的隔室模型图。
Q3 Mathematics Pub Date : 2017-12-01 Epub Date: 2017-05-05 DOI: 10.1515/em-2016-0007
S F Ackley, E R Mayeda, L Worden, W T A Enanoria, M M Glymour, T C Porco

Compartmental model diagrams have been used for nearly a century to depict causal relationships in infectious disease epidemiology. Causal directed acyclic graphs (DAGs) have been used more broadly in epidemiology since the 1990s to guide analyses of a variety of public health problems. Using an example from chronic disease epidemiology, the effect of type 2 diabetes on dementia incidence, we illustrate how compartmental model diagrams can represent the same concepts as causal DAGs, including causation, mediation, confounding, and collider bias. We show how to use compartmental model diagrams to explicitly depict interaction and feedback cycles. While DAGs imply a set of conditional independencies, they do not define conditional distributions parametrically. Compartmental model diagrams parametrically (or semiparametrically) describe state changes based on known biological processes or mechanisms. Compartmental model diagrams are part of a long-term tradition of causal thinking in epidemiology and can parametrically express the same concepts as DAGs, as well as explicitly depict feedback cycles and interactions. As causal inference efforts in epidemiology increasingly draw on simulations and quantitative sensitivity analyses, compartmental model diagrams may be of use to a wider audience. Recognizing simple links between these two common approaches to representing causal processes may facilitate communication between researchers from different traditions.

近一个世纪以来,分区模型图一直被用于描述传染病流行病学中的因果关系。自 20 世纪 90 年代以来,有向无环图(DAG)被更广泛地用于流行病学,以指导对各种公共卫生问题的分析。我们以慢性病流行病学中 2 型糖尿病对痴呆症发病率的影响为例,说明了分区模型图如何表示与因果有向无环图相同的概念,包括因果关系、中介关系、混杂关系和碰撞偏差。我们展示了如何使用分区模型图来明确描述相互作用和反馈循环。虽然 DAG 意味着一组条件独立性,但它们并没有参数化地定义条件分布。区室模型图可以参数化(或半参数化)描述基于已知生物过程或机制的状态变化。分区模型图是流行病学因果思维长期传统的一部分,可以参数化表达与 DAG 相同的概念,并明确描述反馈循环和相互作用。随着流行病学中的因果推断越来越多地使用模拟和定量敏感性分析,分区模型图可能会被更多人使用。认识到这两种表示因果过程的常用方法之间的简单联系,可能会促进来自不同传统的研究人员之间的交流。
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引用次数: 0
A General Framework for and New Normalization of Attributable Proportion 归属比例的一般框架与新归一化
Q3 Mathematics Pub Date : 2017-11-27 DOI: 10.1515/em-2015-0028
O. Hössjer, I. Kockum, L. Alfredsson, A. Hedström, T. Olsson, M. Lekman
Abstract A unified theory is developed for attributable proportion (AP) and population attributable fraction (PAF) of joint effects, marginal effects or interaction among factors. We use a novel normalization with a range between –1 and 1 that gives the traditional definitions of AP or PAF when positive, but is different when they are negative. We also allow for an arbitrary number of factors, both those of primary interest and confounders, and quantify interaction as departure from a given model, such as a multiplicative, additive odds or disjunctive one. In particular, this makes it possible to compare different types of threeway or higher order interactions. Effect parameters are estimated on a linear or logit scale in order to find point estimates and confidence intervals for the various versions of AP and PAF, for prospective or retrospective studies. We investigate the accuracy of three confidence intervals; two of which use the delta method and a third bootstrapped interval. It is found that the delta method with logit type transformations, and the bootstrap, perform well for a wide range of models. The methodology is also applied to a multiple sclerosis (MS) data set, with smoking and two genetic variables as risk factors.
摘要建立了因子间联合效应、边际效应或相互作用的归因比例(AP)和总体归因分数(PAF)的统一理论。我们使用了一种新的归一化,其范围在-1和1之间,当AP或PAF为正时给出了传统的定义,但当它们为负时则不同。我们还允许任意数量的因素,包括主要兴趣和混杂因素,并将相互作用量化为偏离给定模型,例如乘法,加性几率或分离性几率。特别是,这使得比较不同类型的三向或高阶相互作用成为可能。在前瞻性或回顾性研究中,以线性或logit量表估计效果参数,以便找到各种版本的AP和PAF的点估计和置信区间。我们研究了三个置信区间的准确性;其中两个使用delta方法,第三个使用自举区间。结果表明,具有logit类型转换的delta方法和自举法在广泛的模型中表现良好。该方法也适用于多发性硬化症(MS)的数据集,吸烟和两个遗传变量作为风险因素。
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引用次数: 5
Doubly Robust Estimator for Indirectly Standardized Mortality Ratios 间接标准化死亡率的双稳健估计
Q3 Mathematics Pub Date : 2017-09-01 DOI: 10.1515/em-2016-0016
Katherine Daignault, O. Saarela
Abstract Routinely collected administrative and clinical data are increasingly being utilized for comparing quality of care outcomes between hospitals. This problem can be considered in a causal inference framework, as such comparisons have to be adjusted for hospital-specific patient case-mix, which can be done using either an outcome or assignment model. It is often of interest to compare the performance of hospitals against the average level of care in the health care system, using indirectly standardized mortality ratios, calculated as a ratio of observed to expected quality outcome. A doubly robust estimator makes use of both outcome and assignment models in the case-mix adjustment, requiring only one of these to be correctly specified for valid inferences. Doubly robust estimators have been proposed for direct standardization in the quality comparison context, and for standardized risk differences and ratios in the exposed population, but as far as we know, not for indirect standardization. We present the causal estimand in indirect standardization in terms of potential outcome variables, propose a doubly robust estimator for this, and study its properties. We also consider the use of a modified assignment model in the presence of small hospitals.
常规收集的行政和临床数据越来越多地被用于比较医院之间的护理结果质量。这个问题可以在因果推理框架中考虑,因为这种比较必须根据医院特定的患者病例组合进行调整,这可以使用结果模型或分配模型来完成。将医院的表现与卫生保健系统的平均护理水平进行比较,通常是令人感兴趣的,使用间接标准化死亡率,计算为观察到的质量结果与预期质量结果的比率。双鲁棒估计器在病例组合调整中同时使用结果模型和分配模型,仅需要其中一个模型被正确指定以进行有效推断。双稳健估计已被提议用于质量比较背景下的直接标准化,以及暴露人群的标准化风险差异和比率,但据我们所知,不用于间接标准化。我们提出了间接标准化中潜在结果变量的因果估计,提出了一个双鲁棒估计,并研究了它的性质。我们还考虑在存在小医院的情况下使用改进的分配模型。
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引用次数: 6
A Bias in the Evaluation of Bias Comparing Randomized Trials with Nonexperimental Studies. 比较随机试验与非实验研究的偏倚评价中的偏倚。
Q3 Mathematics Pub Date : 2017-04-01 Epub Date: 2017-04-22 DOI: 10.1515/em-2016-0018
Jessica M Franklin, Sara Dejene, Krista F Huybrechts, Shirley V Wang, Martin Kulldorff, Kenneth J Rothman

In a recent BMJ article, the authors conducted a meta-analysis to compare estimated treatment effects from randomized trials with those derived from observational studies based on routinely collected data (RCD). They calculated a pooled relative odds ratio (ROR) of 1.31 (95% confidence interval [CI]: 1.03-1.65) and concluded that RCD studies systematically over-estimated protective effects. However, their meta-analysis inverted results for some clinical questions to force all estimates from RCD to be below 1. We evaluated the statistical properties of this pooled ROR, and found that the selective inversion rule employed in the original meta-analysis can positively bias the estimate of the ROR. We then repeated the random effects meta-analysis using a different inversion rule and found an estimated ROR of 0.98 (0.78-1.23), indicating the ROR is highly dependent on the direction of comparisons. As an alternative to the ROR, we calculated the observed proportion of clinical questions where the RCD and trial CIs overlap, as well as the expected proportion assuming no systematic difference between the studies. Out of 16 clinical questions, 50% CIs overlapped for 8 (50%; 25 to 75%) compared with an expected overlap of 60% assuming no systematic difference between RCD studies and trials. Thus, there was little evidence of a systematic difference in effect estimates between RCD and RCTs. Estimates of pooled RORs across distinct clinical questions are generally not interpretable and may be misleading.

在最近的一篇BMJ文章中,作者进行了一项荟萃分析,将随机试验的估计治疗效果与基于常规收集数据(RCD)的观察性研究的估计治疗效果进行比较。他们计算出的合并相对优势比(ROR)为1.31(95%可信区间[CI]: 1.03-1.65),并得出结论,RCD研究系统性地高估了保护作用。然而,他们的荟萃分析推翻了一些临床问题的结果,迫使RCD的所有估计都低于1。我们评估了该合并ROR的统计特性,发现原始荟萃分析中采用的选择性反转规则可以使ROR的估计正偏倚。然后,我们使用不同的反转规则重复随机效应荟萃分析,发现估计的ROR为0.98(0.78-1.23),表明ROR高度依赖于比较的方向。作为ROR的替代方法,我们计算了RCD和试验ci重叠的临床问题的观察比例,以及假设两项研究之间没有系统差异的预期比例。在16个临床问题中,50%的ci重叠8个(50%;25 - 75%),而假设RCD研究和试验之间没有系统差异,预期重叠率为60%。因此,几乎没有证据表明RCD和rct在效果估计上存在系统性差异。对不同临床问题的综合误差率的估计通常是不可解释的,可能会产生误导。
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引用次数: 19
Evaluating the Impact of a HIV Low-Risk Express Care Task-Shifting Program: A Case Study of the Targeted Learning Roadmap. 评估艾滋病低风险快速护理任务转移计划的影响:目标学习路线图案例研究》。
Q3 Mathematics Pub Date : 2016-12-01 Epub Date: 2016-11-10 DOI: 10.1515/em-2016-0004
Linh Tran, Constantin T Yiannoutsos, Beverly S Musick, Kara K Wools-Kaloustian, Abraham Siika, Sylvester Kimaiyo, Mark J van der Laan, Maya Petersen

In conducting studies on an exposure of interest, a systematic roadmap should be applied for translating causal questions into statistical analyses and interpreting the results. In this paper we describe an application of one such roadmap applied to estimating the joint effect of both time to availability of a nurse-based triage system (low risk express care (LREC)) and individual enrollment in the program among HIV patients in East Africa. Our study population is comprised of 16,513 subjects found eligible for this task-shifting program within 15 clinics in Kenya between 2006 and 2009, with each clinic starting the LREC program between 2007 and 2008. After discretizing follow-up into 90-day time intervals, we targeted the population mean counterfactual outcome (i. e. counterfactual probability of either dying or being lost to follow up) at up to 450 days after initial LREC eligibility under three fixed treatment interventions. These were (i) under no program availability during the entire follow-up, (ii) under immediate program availability at initial eligibility, but non-enrollment during the entire follow-up, and (iii) under immediate program availability and enrollment at initial eligibility. We further estimated the controlled direct effect of immediate program availability compared to no program availability, under a hypothetical intervention to prevent individual enrollment in the program. Targeted minimum loss-based estimation was used to estimate the mean outcome, while Super Learning was implemented to estimate the required nuisance parameters. Analyses were conducted with the ltmle R package; analysis code is available at an online repository as an R package. Results showed that at 450 days, the probability of in-care survival for subjects with immediate availability and enrollment was 0.93 (95% CI: 0.91, 0.95) and 0.87 (95% CI: 0.86, 0.87) for subjects with immediate availability never enrolling. For subjects without LREC availability, it was 0.91 (95% CI: 0.90, 0.92). Immediate program availability without individual enrollment, compared to no program availability, was estimated to slightly albeit significantly decrease survival by 4% (95% CI 0.03,0.06, p<0.01). Immediately availability and enrollment resulted in a 7 % higher in-care survival compared to immediate availability with non-enrollment after 450 days (95% CI-0.08,-0.05, p<0.01). The results are consistent with a fairly small impact of both availability and enrollment in the LREC program on incare survival.

在对感兴趣的暴露进行研究时,应采用系统的路线图将因果问题转化为统计分析并解释结果。在本文中,我们介绍了这样一种路线图的应用,它适用于估算东非艾滋病患者中护士分流系统(低风险快速护理(LREC))的可用时间和个人加入该计划的共同影响。我们的研究对象包括 2006 年至 2009 年间肯尼亚 15 家诊所中符合任务分流计划条件的 16513 名受试者,每家诊所都在 2007 年至 2008 年间启动了 LREC 计划。在将随访时间离散为 90 天的时间间隔后,我们将人群平均反事实结果(即死亡或失去随访机会的反事实概率)的目标设定为在最初获得 LREC 资格后的 450 天内,在三种固定的治疗干预下。这三种情况分别是:(i) 在整个随访期间没有提供计划;(ii) 在最初符合条件时立即提供计划,但在整个随访期间没有注册;(iii) 在最初符合条件时立即提供计划并注册。我们还进一步估算了在假定干预措施阻止个人参与计划的情况下,立即提供计划与不提供计划相比所产生的直接控制效果。我们使用基于最小损失的目标估计法来估计平均结果,同时使用超级学习法来估计所需的干扰参数。分析使用 ltmle R 软件包进行;分析代码作为 R 软件包可从在线存储库中获取。结果显示,在 450 天时,立即可用且注册的受试者的护理生存概率为 0.93(95% CI:0.91,0.95),而立即可用且从未注册的受试者的护理生存概率为 0.87(95% CI:0.86,0.87)。而对于没有 LREC 的受试者,这一比例为 0.91(95% CI:0.90,0.92)。据估计,与不提供项目相比,不进行个人注册但可立即提供项目的受试者的存活率会略微降低 4%(95% CI 0.03,0.06,P<0.05)。
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引用次数: 0
A Note on the Mantel-Haenszel Estimators When the Common Effect Assumptions Are Violated 关于违反共同效应假设时的Mantel-Haenszel估计量的注记
Q3 Mathematics Pub Date : 2016-12-01 DOI: 10.1515/em-2015-0004
H. Noma, K. Nagashima
Abstract The Mantel-Haenszel estimators for the common effect parameters of stratified 2×2 tables have been widely adopted in epidemiological and clinical studies for controlling the effects of confounding factors. Although the Mantel-Haenszel estimators are simple and effective estimating methods, the correctness of the common effect assumptions cannot be justified in general practices. Also then, the targeted “common effect parameters” do not exist. Under these settings, even if the Mantel-Haenszel estimators have desirable properties, it is quite uncertain what they estimate and how the estimates are interpreted. In this article, we conducted theoretical evaluations for their asymptotic behaviors when the common effect assumptions are violated. We explicitly showed that the Mantel-Haenszel estimators converge to weighted averages of stratum-specific effect parameters and they can be interpreted as intuitive summaries of the stratum-specific effect measures. Also, the Mantel-Haenszel estimators correspond to the standardized effect measures on standard distributions of stratification variables to be the total cohort, approximately. In addition, the ordinary sandwich-type variance estimators are still valid for quantifying variabilities of the Mantel-Haenszel estimators. We implemented numerical studies based on two epidemiologic studies of breast cancer and schizophrenia for evaluating empirical properties of these estimators, and confirmed general validities of these theoretical results.
摘要在流行病学和临床研究中,广泛采用分层2×2表共同效应参数的Mantel-Haenszel估计量来控制混杂因素的影响。尽管Mantel-Haenszel估计是一种简单有效的估计方法,但在一般实践中不能证明常见效果假设的正确性。同样,目标的“通用效果参数”也不存在。在这些情况下,即使Mantel-Haenszel估计器具有理想的性质,它们估计什么以及如何解释估计也是相当不确定的。在本文中,我们对它们在违反共同效应假设时的渐近行为进行了理论评价。我们明确地表明,Mantel-Haenszel估计收敛于层特异性效应参数的加权平均值,它们可以被解释为层特异性效应测度的直观总结。此外,Mantel-Haenszel估计量近似地对应于分层变量标准分布的标准化效应测度。此外,普通的三明治型方差估计量对于量化Mantel-Haenszel估计量的可变性仍然有效。我们基于两项乳腺癌和精神分裂症的流行病学研究实施了数值研究,以评估这些估计器的经验性质,并证实了这些理论结果的一般有效性。
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引用次数: 6
Estimation of the overall treatment effect in the presence of interference in cluster-randomized trials of infectious disease prevention. 传染病预防的集群随机试验中存在干扰时的总体治疗效果的估计。
Q3 Mathematics Pub Date : 2016-12-01 DOI: 10.1515/em-2015-0016
Nicole Bohme Carnegie, Rui Wang, Victor De Gruttola

An issue that remains challenging in the field of causal inference is how to relax the assumption of no interference between units. Interference occurs when the treatment of one unit can affect the outcome of another, a situation which is likely to arise with outcomes that may depend on social interactions, such as occurrence of infectious disease. Existing methods to accommodate interference largely depend upon an assumption of "partial interference" - interference only within identifiable groups but not among them. There remains a considerable need for development of methods that allow further relaxation of the no-interference assumption. This paper focuses on an estimand that is the difference in the outcome that one would observe if the treatment were provided to all clusters compared to that outcome if treatment were provided to none - referred as the overall treatment effect. In trials of infectious disease prevention, the randomized treatment effect estimate will be attenuated relative to this overall treatment effect if a fraction of the exposures in the treatment clusters come from individuals who are outside these clusters. This source of interference - contacts sufficient for transmission that are with treated clusters - is potentially measurable. In this manuscript, we leverage epidemic models to infer the way in which a given level of interference affects the incidence of infection in clusters. This leads naturally to an estimator of the overall treatment effect that is easily implemented using existing software.

如何放宽单元间无干扰的假设是因果推理领域中一个具有挑战性的问题。当一个单位的治疗可能影响到另一个单位的结果时,就发生了干扰,这种情况可能会出现,其结果可能取决于社会相互作用,例如传染病的发生。现有的适应干扰的方法在很大程度上依赖于“部分干扰”的假设,即只在可识别的群体内部而不是群体之间进行干扰。仍然相当需要发展允许进一步放宽不干涉假设的方法。本文关注的是一个估计,即如果向所有集群提供治疗,与不向任何集群提供治疗相比,人们将观察到的结果的差异,即总体治疗效果。在传染病预防试验中,如果治疗组中的一小部分暴露来自这些组外的个体,则相对于总体治疗效果,随机治疗效果估计会减弱。这种干扰源——与经过处理的聚集性病例接触足以传播——可能是可测量的。在本文中,我们利用流行病模型来推断给定水平的干扰影响集群感染发生率的方式。这自然导致了总体处理效果的估计,使用现有的软件很容易实现。
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引用次数: 8
Estimating Effects with Rare Outcomes and High Dimensional Covariates: Knowledge is Power. 利用罕见结果和高维变量估算效应:知识就是力量
Q3 Mathematics Pub Date : 2016-12-01 Epub Date: 2016-05-24 DOI: 10.1515/em-2014-0020
Laura Balzer, Jennifer Ahern, Sandro Galea, Mark van der Laan

Many of the secondary outcomes in observational studies and randomized trials are rare. Methods for estimating causal effects and associations with rare outcomes, however, are limited, and this represents a missed opportunity for investigation. In this article, we construct a new targeted minimum loss-based estimator (TMLE) for the effect or association of an exposure on a rare outcome. We focus on the causal risk difference and statistical models incorporating bounds on the conditional mean of the outcome, given the exposure and measured confounders. By construction, the proposed estimator constrains the predicted outcomes to respect this model knowledge. Theoretically, this bounding provides stability and power to estimate the exposure effect. In finite sample simulations, the proposed estimator performed as well, if not better, than alternative estimators, including a propensity score matching estimator, inverse probability of treatment weighted (IPTW) estimator, augmented-IPTW and the standard TMLE algorithm. The new estimator yielded consistent estimates if either the conditional mean outcome or the propensity score was consistently estimated. As a substitution estimator, TMLE guaranteed the point estimates were within the parameter range. We applied the estimator to investigate the association between permissive neighborhood drunkenness norms and alcohol use disorder. Our results highlight the potential for double robust, semiparametric efficient estimation with rare events and high dimensional covariates.

观察性研究和随机试验中的许多次要结果都很罕见。然而,估计罕见结果的因果效应和关联的方法却很有限,这就意味着错失了调查机会。在本文中,我们构建了一种新的基于最小损失的目标估算器(TMLE),用于估算暴露对罕见结果的影响或关联。我们将重点放在因果风险差异和统计模型上,在给定暴露和测量混杂因素的情况下,对结果的条件平均值进行约束。根据构造,所提出的估计器会限制预测结果以尊重这一模型知识。从理论上讲,这种约束提供了估计暴露效应的稳定性和能力。在有限样本模拟中,所提出的估计方法与其他估计方法(包括倾向评分匹配估计方法、反向治疗概率加权(IPTW)估计方法、增强型 IPTW 估计方法和标准 TMLE 算法)相比,表现不相上下,甚至更好。如果条件平均结果或倾向得分的估算结果一致,新估算器就能得出一致的估算结果。作为一种替代估计器,TMLE 保证了点估计值在参数范围内。我们应用该估计器调查了放任型邻里醉酒规范与酒精使用障碍之间的关联。我们的结果凸显了对罕见事件和高维协变量进行双重稳健、半参数高效估计的潜力。
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引用次数: 0
The Magnitude and Direction of Collider Bias for Binary Variables 二元变量对撞机偏差的大小和方向
Q3 Mathematics Pub Date : 2016-09-02 DOI: 10.1515/em-2017-0013
T. Nguyen, A. Dafoe, Elizabeth L. Ogburn
Abstract Suppose we are interested in the effect of variable X on variable Y. If X and Y both influence, or are associated with variables that influence, a common outcome, called a collider, then conditioning on the collider (or on a variable influenced by the collider – its “child”) induces a spurious association between X and Y, which is known as collider bias. Characterizing the magnitude and direction of collider bias is crucial for understanding the implications of selection bias and for adjudicating decisions about whether to control for variables that are known to be associated with both exposure and outcome but could be either confounders or colliders. Considering a class of situations where all variables are binary, and where X and Y either are, or are respectively influenced by, two marginally independent causes of a collider, we derive collider bias that results from (i) conditioning on specific levels of the collider or its child (on the covariance, risk difference, and in two cases odds ratio, scales), or (ii) linear regression adjustment for, the collider or its child. We also derive simple conditions that determine the sign of such bias.
假设我们对变量X对变量Y的影响感兴趣。如果X和Y都影响或与影响一个共同结果的变量相关联,称为对撞机,那么对撞机(或受对撞机影响的变量-它的“子”)的条件作用会导致X和Y之间的虚假关联,这被称为对撞机偏差。描述碰撞偏倚的大小和方向对于理解选择偏倚的含义以及判断是否控制已知与暴露和结果相关但可能是混杂因素或碰撞因素的变量至关重要。考虑到一类所有变量都是二元的情况,其中X和Y分别受到碰撞器的两个边缘独立原因的影响,或者分别受到两个边缘独立原因的影响,我们得出碰撞器偏差,其结果来自(i)对撞器或其子系统的特定水平(协方差、风险差异,以及两种情况下的比值比、尺度)的条件反射,或(ii)对撞器或其子系统的线性回归调整。我们还推导出了决定这种偏差标志的简单条件。
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引用次数: 16
Predicting Overall Vaccine Efficacy in a New Setting by Re-calibrating Baseline Covariate and Intermediate Response Endpoint Effect Modifiers of Type-Specific Vaccine Efficacy 通过重新校准特异性疫苗效力的基线协变量和中间反应终点效应修饰因子来预测新环境下的总体疫苗效力
Q3 Mathematics Pub Date : 2016-01-01 DOI: 10.1515/em-2015-0007
P. Gilbert, Ying Huang
Abstract We develop a transport formula for predicting overall cumulative vaccine efficacy through time t (VE(t)$$VE(t)$$) to prevent clinically significant infection with a genetically diverse pathogen (e. g., HIV infection) in a new setting for which a Phase III preventive vaccine efficacy trial that would directly estimate VE(t)$$VE(t)$$ has not yet been conducted. The formula integrates data from (1) a previous Phase III trial, (2) a Phase I/II immune response biomarker endpoint trial in the new setting where a follow-up Phase III trial is planned, (3) epidemiological data on background HIV infection incidence in the new setting; and (4) genomic epidemiological data on HIV sequence distributions in the previous and new settings. For (1), the randomized vaccine versus placebo Phase III trial yields estimates of vaccine efficacy to prevent particular genotypes of HIV in participant subgroups defined by baseline covariates X and immune responses to vaccination S(1)$$S(1)$$ measured at a fixed time point τ$$tau $$ (potential outcomes if assigned vaccine); often one or more immune responses to vaccination are available that modify genotype-specific vaccine efficacy. The formula focuses on subgroups defined by X and S(1)$$S(1)$$ and being at-risk for HIV infection at τ$$tau $$ under both the vaccine and placebo treatment assignments. For (2), the Phase I/II trial tests the same vaccine in a new setting, or a refined new vaccine in the same or new setting, and measures the same baseline covariates and immune responses as the original Phase III trial. For (3), epidemiological data in the new setting are used to project overall background HIV infection rates in the baseline covariate subgroups in the planned Phase III trial, hence re-calibrating for HIV incidence differences in the two settings; whereas for (4), data bases of HIV sequences measured from HIV infected individuals are used to re-calibrate for differences in the distributions of the circulating HIV genotypes in the two settings. The transport formula incorporates a user-specified bridging assumption function that measures differences in HIV genotype-specific conditional biological-susceptibility vaccine efficacies in the two settings, facilitating a sensitivity analysis. We illustrate the transport formula with application to HIV Vaccine Trials Network (HVTN) research. One application of the transport formula is to use predicted VE(t)$$VE(t)$$ as a rational criterion for ranking a set of candidate vaccines being studied in Phase I/II trials for their priority for down-selection into the follow-up Phase III trial.
我们开发了一个转运公式,用于预测时间t (VE(t) $$VE(t)$$)的总体累积疫苗效力,以防止遗传多样性病原体(例如:在一个新的环境中,尚未进行可直接估计VE(t) $$VE(t)$$的三期预防性疫苗效力试验。该公式整合了以下数据:(1)先前的III期试验,(2)在计划进行后续III期试验的新环境中进行的I/II期免疫反应生物标志物终点试验,(3)新环境中背景HIV感染发生率的流行病学数据;(4)新旧环境下HIV序列分布的基因组流行病学数据。对于(1),随机疫苗与安慰剂的III期试验产生了疫苗预防特定基因型HIV的功效估计,该疫苗在参与者亚组中由基线协变量X和免疫应答S(1) $$S(1)$$定义,在固定时间点τ $$tau $$测量(如果分配疫苗的潜在结果);通常对疫苗接种有一种或多种免疫反应,可改变基因型特异性疫苗的效力。该公式关注由X和S(1) $$S(1)$$定义的亚组,以及在疫苗和安慰剂治疗分配下在τ $$tau $$处于HIV感染风险的亚组。对于(2),I/II期试验在新的环境中测试相同的疫苗,或在相同或新的环境中测试改进的新疫苗,并测量与最初的III期试验相同的基线协变量和免疫反应。对于(3),使用新环境中的流行病学数据来预测计划的III期试验中基线协变量亚组的总体背景HIV感染率,从而重新校准两种环境中的HIV发病率差异;而对于(4),从HIV感染个体中测量的HIV序列数据库被用于重新校准两种环境中循环HIV基因型分布的差异。运输公式包含用户指定的桥接假设函数,该函数测量两种环境中艾滋病毒基因型特异性条件生物易感性疫苗效力的差异,从而促进敏感性分析。我们举例说明了传输公式并应用于HIV疫苗试验网络(HVTN)的研究。转运公式的一个应用是使用预测的VE(t) $$VE(t)$$作为合理的标准,对正在I/II期试验中研究的一组候选疫苗进行排序,以便优先选择进入后续的III期试验。
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引用次数: 16
期刊
Epidemiologic Methods
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