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Group sequential designs for clinical trials when the maximum sample size is uncertain. 在最大样本量不确定的情况下,对临床试验进行分组序列设计。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-30 Epub Date: 2024-08-21 DOI: 10.1002/sim.10203
Amin Yarahmadi, Lori E Dodd, Thomas Jaki, Peter Horby, Nigel Stallard

Motivated by the experience of COVID-19 trials, we consider clinical trials in the setting of an emerging disease in which the uncertainty of natural disease course and potential treatment effects makes advance specification of a sample size challenging. One approach to such a challenge is to use a group sequential design to allow the trial to stop on the basis of interim analysis results as soon as a conclusion regarding the effectiveness of the treatment under investigation can be reached. As such a trial may be halted before a formal stopping boundary is reached, we consider the final analysis under such a scenario, proposing alternative methods for when the decision to halt the trial is made with or without knowledge of interim analysis results. We address the problems of ensuring that the type I error rate neither exceeds nor falls unnecessarily far below the nominal level. We also propose methods in which there is no maximum sample size, the trial continuing either until the stopping boundary is reached or it is decided to halt the trial.

受 COVID-19 试验经验的启发,我们考虑了新发疾病背景下的临床试验,在这种情况下,自然病程和潜在治疗效果的不确定性使得提前确定样本量具有挑战性。应对这种挑战的一种方法是采用分组顺序设计,以便一旦对所研究的治疗效果得出结论,就可以根据中期分析结果停止试验。由于这种试验可能会在达到正式停止界限之前就停止,因此我们考虑了这种情况下的最终分析,提出了在了解或不了解中期分析结果的情况下决定停止试验的替代方法。我们解决了确保 I 类错误率既不超过名义水平,也不会不必要地远远低于名义水平的问题。我们还提出了不设最大样本量的方法,即试验一直持续到达到停止边界或决定停止试验为止。
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引用次数: 0
Estimating causes of maternal death in data-sparse contexts. 在数据稀缺的情况下估算孕产妇死亡原因。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-30 Epub Date: 2024-08-27 DOI: 10.1002/sim.10199
Michael Y C Chong, Marija Pejchinovska, Monica Alexander

Understanding the underlying causes of maternal death across all regions of the world is essential to inform policies and resource allocation to reduce the mortality burden. However, in many countries there exists very little data on the causes of maternal death, and data that do exist do not capture the entire population at risk. In this article, we present a Bayesian hierarchical multinomial model to estimate maternal cause of death distributions globally, regionally, and for all countries worldwide. The framework combines data from various sources to inform estimates, including data from civil registration and vital systems, smaller-scale surveys and studies, and high-quality data from confidential enquiries and surveillance systems. The framework accounts for varying data quality and coverage, and allows for situations where one or more causes of death are missing. We illustrate the results of the model on three case-study countries that have different data availability situations.

了解世界各地孕产妇死亡的根本原因,对于制定政策和分配资源以降低死亡率负担至关重要。然而,在许多国家,有关孕产妇死亡原因的数据非常少,而现有的数据并不能涵盖所有面临风险的人群。在这篇文章中,我们提出了一个贝叶斯分层多叉模型,用于估算全球、地区和世界各国的孕产妇死因分布。该框架结合了各种来源的数据,为估算提供信息,包括民事登记和人口动态系统数据、较小规模的调查和研究,以及来自保密查询和监测系统的高质量数据。该框架考虑到了不同的数据质量和覆盖范围,并允许出现一种或多种死因缺失的情况。我们以三个数据可用性情况不同的案例研究国家为例,说明了该模型的结果。
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引用次数: 0
Evaluating individualized treatment effect predictions: A model-based perspective on discrimination and calibration assessment. 评估个体化治疗效果预测:基于模型的辨别和校准评估视角。
IF 16.4 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-08-01 DOI: 10.1002/sim.10186
J Hoogland, O Efthimiou, T L Nguyen, T P A Debray

In recent years, there has been a growing interest in the prediction of individualized treatment effects. While there is a rapidly growing literature on the development of such models, there is little literature on the evaluation of their performance. In this paper, we aim to facilitate the validation of prediction models for individualized treatment effects. The estimands of interest are defined based on the potential outcomes framework, which facilitates a comparison of existing and novel measures. In particular, we examine existing measures of discrimination for benefit (variations of the c-for-benefit), and propose model-based extensions to the treatment effect setting for discrimination and calibration metrics that have a strong basis in outcome risk prediction. The main focus is on randomized trial data with binary endpoints and on models that provide individualized treatment effect predictions and potential outcome predictions. We use simulated data to provide insight into the characteristics of the examined discrimination and calibration statistics under consideration, and further illustrate all methods in a trial of acute ischemic stroke treatment. The results show that the proposed model-based statistics had the best characteristics in terms of bias and accuracy. While resampling methods adjusted for the optimism of performance estimates in the development data, they had a high variance across replications that limited their accuracy. Therefore, individualized treatment effect models are best validated in independent data. To aid implementation, a software implementation of the proposed methods was made available in R.

近年来,人们对个性化治疗效果的预测越来越感兴趣。尽管有关此类模型开发的文献迅速增加,但有关其性能评估的文献却很少。本文旨在促进个体化治疗效果预测模型的验证。我们根据潜在结果框架来定义感兴趣的估算对象,这有助于对现有的和新的测量方法进行比较。特别是,我们研究了现有的收益区分度(c-收益的变体),并提出了基于模型的治疗效果设定区分度和校准指标的扩展,这些指标在结果风险预测方面具有坚实的基础。主要重点是具有二元终点的随机试验数据,以及提供个体化治疗效果预测和潜在结果预测的模型。我们使用模拟数据来深入分析所研究的判别和校准统计量的特点,并在急性缺血性中风治疗试验中进一步说明所有方法。结果表明,所提出的基于模型的统计方法在偏差和准确性方面具有最佳特性。虽然重采样方法可以调整开发数据中性能估计的乐观程度,但它们在重复中的方差较大,限制了其准确性。因此,个体化治疗效果模型最好在独立数据中进行验证。为了帮助实施,我们用 R 语言提供了建议方法的软件实施。
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引用次数: 0
Path-specific causal decomposition analysis with multiple correlated mediator variables. 具有多个相关中介变量的特定路径因果分解分析。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-08-07 DOI: 10.1002/sim.10182
Melissa J Smith, Leslie A McClure, D Leann Long

A causal decomposition analysis allows researchers to determine whether the difference in a health outcome between two groups can be attributed to a difference in each group's distribution of one or more modifiable mediator variables. With this knowledge, researchers and policymakers can focus on designing interventions that target these mediator variables. Existing methods for causal decomposition analysis either focus on one mediator variable or assume that each mediator variable is conditionally independent given the group label and the mediator-outcome confounders. In this article, we propose a flexible causal decomposition analysis method that can accommodate multiple correlated and interacting mediator variables, which are frequently seen in studies of health behaviors and studies of environmental pollutants. We extend a Monte Carlo-based causal decomposition analysis method to this setting by using a multivariate mediator model that can accommodate any combination of binary and continuous mediator variables. Furthermore, we state the causal assumptions needed to identify both joint and path-specific decomposition effects through each mediator variable. To illustrate the reduction in bias and confidence interval width of the decomposition effects under our proposed method, we perform a simulation study. We also apply our approach to examine whether differences in smoking status and dietary inflammation score explain any of the Black-White differences in incident diabetes using data from a national cohort study.

通过因果分解分析,研究人员可以确定两组之间在健康结果上的差异是否可归因于每组在一个或多个可改变的中介变量分布上的差异。有了这些知识,研究人员和决策者就可以集中精力设计针对这些中介变量的干预措施。现有的因果分解分析方法要么只关注一个中介变量,要么假设每个中介变量在组别标签和中介-结果混杂因素的条件下是独立的。在这篇文章中,我们提出了一种灵活的因果分解分析方法,它可以容纳多个相关和相互作用的中介变量,这在健康行为研究和环境污染物研究中经常出现。我们将基于蒙特卡洛的因果分解分析方法扩展到这一环境中,使用一个多变量中介变量模型,该模型可容纳二元和连续中介变量的任意组合。此外,我们还说明了通过每个中介变量识别联合分解效应和特定路径分解效应所需的因果假设。为了说明我们提出的方法可以减少分解效应的偏差和置信区间宽度,我们进行了模拟研究。我们还采用我们的方法,利用一项全国队列研究的数据,研究吸烟状况和饮食炎症评分的差异是否能解释黑人和白人在糖尿病发病率上的任何差异。
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引用次数: 0
Comparing methods for assessing the reliability of health care quality measures. 比较评估医疗质量措施可靠性的方法。
IF 16.4 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-08-15 DOI: 10.1002/sim.10197
Kenneth J Nieser, Alex H S Harris

Quality measurement plays an increasing role in U.S. health care. Measures inform quality improvement efforts, public reporting of variations in quality of care across providers and hospitals, and high-stakes financial decisions. To be meaningful in these contexts, measures should be reliable and not heavily impacted by chance variations in sampling or measurement. Several different methods are used in practice by measure developers and endorsers to evaluate reliability; however, there is uncertainty and debate over differences between these methods and their interpretations. We review methods currently used in practice, pointing out differences that can lead to disparate reliability estimates. We compare estimates from 14 different methods in the case of two sets of mental health quality measures within a large health system. We find that estimates can differ substantially and that these discrepancies widen when sample size is reduced.

质量评估在美国医疗保健领域发挥着越来越重要的作用。衡量标准为质量改进工作、公众对不同医疗服务提供者和医院之间医疗质量差异的报告以及事关重大的财务决策提供了依据。要在这些方面发挥重要作用,衡量标准必须可靠,并且不受抽样或衡量中偶然变化的严重影响。衡量标准的制定者和认可者在实践中使用了几种不同的方法来评估可靠性;然而,这些方法之间的差异及其解释还存在不确定性和争议。我们回顾了目前在实践中使用的方法,指出了可能导致不同可靠性估计值的差异。我们以一个大型医疗系统中的两套心理健康质量测量方法为例,比较了 14 种不同方法的估计值。我们发现,估计值可能会有很大差异,而且当样本量减少时,这些差异也会扩大。
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引用次数: 0
How estimating nuisance parameters can reduce the variance (with consistent variance estimation). 估计干扰参数如何减少方差(使用一致的方差估计)。
IF 1.8 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-07-30 DOI: 10.1002/sim.10164
Judith J Lok
<p><p>We often estimate a parameter of interest <math> <semantics><mrow><mi>ψ</mi></mrow> <annotation>$$ psi $$</annotation></semantics> </math> when the identifying conditions involve a finite-dimensional nuisance parameter <math> <semantics><mrow><mi>θ</mi> <mo>∈</mo> <msup><mrow><mi>ℝ</mi></mrow> <mrow><mi>d</mi></mrow> </msup> </mrow> <annotation>$$ theta in {mathbb{R}}^d $$</annotation></semantics> </math> . Examples from causal inference are inverse probability weighting, marginal structural models and structural nested models, which all lead to unbiased estimating equations. This article presents a consistent sandwich estimator for the variance of estimators <math> <semantics> <mrow> <mover><mrow><mi>ψ</mi></mrow> <mo>^</mo></mover> </mrow> <annotation>$$ hat{psi} $$</annotation></semantics> </math> that solve unbiased estimating equations including <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> which is also estimated by solving unbiased estimating equations. This article presents four additional results for settings where <math> <semantics> <mrow> <mover><mrow><mi>θ</mi></mrow> <mo>^</mo></mover> </mrow> <annotation>$$ hat{theta} $$</annotation></semantics> </math> solves (partial) score equations and <math> <semantics><mrow><mi>ψ</mi></mrow> <annotation>$$ psi $$</annotation></semantics> </math> does not depend on <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> . This includes many causal inference settings where <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> describes the treatment probabilities, missing data settings where <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> describes the missingness probabilities, and measurement error settings where <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> describes the error distribution. These four additional results are: (1) Counter-intuitively, the asymptotic variance of <math> <semantics> <mrow> <mover><mrow><mi>ψ</mi></mrow> <mo>^</mo></mover> </mrow> <annotation>$$ hat{psi} $$</annotation></semantics> </math> is typically smaller when <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> is estimated. (2) If estimating <math> <semantics><mrow><mi>θ</mi></mrow> <annotation>$$ theta $$</annotation></semantics> </math> is ignored, the sandwich estimator for the variance of <math> <semantics> <mrow> <mover><mrow><mi>ψ</mi></mrow> <mo>^</mo></mover> </mrow> <annotation>$$ hat{psi} $$</annotation></semantics> </math> is conservative. (3) A consistent sandwich estimator for the variance of <math> <semantics> <mrow> <mover><mrow><mi>ψ</mi></mrow> <mo>^</mo></mover> </mrow> <annotation>$$ hat{psi} $$</annotation></semantics> </math> . (4) If <math> <semantics> <mrow> <mover><mrow><mi>ψ</mi></mrow> <mo>^
当识别条件涉及有限维滋扰参数θ ∈ ℝ d $ $ theta in {mathbb{R}}^d $$时,我们经常会估计一个感兴趣的参数ψ $ $ psi $$。因果推理中的例子包括反概率加权、边际结构模型和结构嵌套模型,它们都能得到无偏估计方程。本文提出了一个一致的三明治估计器,用于求解无偏估计方程的估计器ψ ^ $$hat{psi} $$的方差,包括θ $$ theta $$,该估计器也是通过求解无偏估计方程来估计的。本文针对θ ^ $$ hat{theta} $$求解(部分)分数方程且ψ $$ psi $$不依赖于θ $$ theta $$的情况提出了另外四个结果。这包括许多因果推理设置,其中θ $$ theta $$描述了处理概率;缺失数据设置,其中θ $$ theta $$描述了缺失概率;以及测量误差设置,其中θ $$ theta $$描述了误差分布。这四个额外结果是(1) 与直觉相反,当估计 θ $ theta $$ 时,ψ ^ $$ hat{psi} $$ 的渐近方差通常较小。(2) 如果忽略估计 θ $ theta $$,ψ ^ $$ hat{psi} $$方差的三明治估计器是保守的。(3) ψ ^ $ $ hat{psi} $ $方差的一致的三明治估计器。 (4) 如果插入真实θ $ theta $的ψ ^ $ $ hat{psi} $是有效的,则ψ ^ $ $ hat{psi} $的渐近方差不取决于是否估计了θ $ theta $。为了说明这一点,我们使用观察数据来计算以下内容的置信区间:(1) 卡扎维与可乐定对细菌感染的影响;(2) 抗逆转录病毒治疗的效果如何取决于其在 HIV 感染者中的启动时间。
{"title":"How estimating nuisance parameters can reduce the variance (with consistent variance estimation).","authors":"Judith J Lok","doi":"10.1002/sim.10164","DOIUrl":"10.1002/sim.10164","url":null,"abstract":"&lt;p&gt;&lt;p&gt;We often estimate a parameter of interest &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ psi $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; when the identifying conditions involve a finite-dimensional nuisance parameter &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt; &lt;mo&gt;∈&lt;/mo&gt; &lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;ℝ&lt;/mi&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt; &lt;/msup&gt; &lt;/mrow&gt; &lt;annotation&gt;$$ theta in {mathbb{R}}^d $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; . Examples from causal inference are inverse probability weighting, marginal structural models and structural nested models, which all lead to unbiased estimating equations. This article presents a consistent sandwich estimator for the variance of estimators &lt;math&gt; &lt;semantics&gt; &lt;mrow&gt; &lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;mo&gt;^&lt;/mo&gt;&lt;/mover&gt; &lt;/mrow&gt; &lt;annotation&gt;$$ hat{psi} $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; that solve unbiased estimating equations including &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; which is also estimated by solving unbiased estimating equations. This article presents four additional results for settings where &lt;math&gt; &lt;semantics&gt; &lt;mrow&gt; &lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;mo&gt;^&lt;/mo&gt;&lt;/mover&gt; &lt;/mrow&gt; &lt;annotation&gt;$$ hat{theta} $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; solves (partial) score equations and &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ psi $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; does not depend on &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; . This includes many causal inference settings where &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; describes the treatment probabilities, missing data settings where &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; describes the missingness probabilities, and measurement error settings where &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; describes the error distribution. These four additional results are: (1) Counter-intuitively, the asymptotic variance of &lt;math&gt; &lt;semantics&gt; &lt;mrow&gt; &lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;mo&gt;^&lt;/mo&gt;&lt;/mover&gt; &lt;/mrow&gt; &lt;annotation&gt;$$ hat{psi} $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; is typically smaller when &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; is estimated. (2) If estimating &lt;math&gt; &lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;θ&lt;/mi&gt;&lt;/mrow&gt; &lt;annotation&gt;$$ theta $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; is ignored, the sandwich estimator for the variance of &lt;math&gt; &lt;semantics&gt; &lt;mrow&gt; &lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;mo&gt;^&lt;/mo&gt;&lt;/mover&gt; &lt;/mrow&gt; &lt;annotation&gt;$$ hat{psi} $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; is conservative. (3) A consistent sandwich estimator for the variance of &lt;math&gt; &lt;semantics&gt; &lt;mrow&gt; &lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;mo&gt;^&lt;/mo&gt;&lt;/mover&gt; &lt;/mrow&gt; &lt;annotation&gt;$$ hat{psi} $$&lt;/annotation&gt;&lt;/semantics&gt; &lt;/math&gt; . (4) If &lt;math&gt; &lt;semantics&gt; &lt;mrow&gt; &lt;mover&gt;&lt;mrow&gt;&lt;mi&gt;ψ&lt;/mi&gt;&lt;/mrow&gt; &lt;mo&gt;^","PeriodicalId":21879,"journal":{"name":"Statistics in Medicine","volume":" ","pages":"4456-4480"},"PeriodicalIF":1.8,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11570876/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141856610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic path analysis for exploring treatment effect mediation processes in clinical trials with time-to-event endpoints. 动态路径分析用于探索以时间为终点的临床试验中的治疗效果中介过程。
IF 16.4 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-08-07 DOI: 10.1002/sim.10191
Matthias Kormaksson, Markus Reiner Lange, David Demanse, Susanne Strohmaier, Jiawei Duan, Qing Xie, Mariana Carbini, Claudia Bossen, Achim Guettner, Antonella Maniero

Why does a beneficial treatment effect on a longitudinal biomarker not translate into overall treatment benefit on survival, when the biomarker is in fact a prognostic factor of survival? In a recent exploratory data analysis in oncology, we were faced with this seemingly paradoxical result. To address this problem, we applied a theoretically principled methodology called dynamic path analysis, which allows us to perform mediation analysis with a longitudinal mediator and survival outcome. The aim of the analysis is to decompose the total treatment effect into a direct treatment effect and an indirect treatment effect mediated through a carefully constructed mediation path. The dynamic nature of the underlying methodology enables us to describe how these effects evolve over time, which can add to the mechanistic understanding of the underlying processes. In this paper, we present a detailed description of the dynamic path analysis framework and illustrate its application to survival mediation analysis using simulated and real data. The use case analysis provides clarity on the specific exploratory question of interest while the methodology generalizes to a wide range of applications in drug development where time-to-event is the primary clinical outcome of interest.

既然生物标志物实际上是生存的预后因素,为什么对纵向生物标志物的有利治疗效果不能转化为对生存的总体治疗效果?在最近一次肿瘤学探索性数据分析中,我们遇到了这个看似矛盾的结果。为了解决这个问题,我们采用了一种理论原则性方法--动态路径分析,它允许我们对纵向中介因子和生存结果进行中介分析。分析的目的是将总治疗效果分解为直接治疗效果和通过精心构建的中介路径进行中介的间接治疗效果。基本方法的动态性质使我们能够描述这些效应如何随时间演变,从而加深对基本过程的机理理解。在本文中,我们详细介绍了动态路径分析框架,并使用模拟数据和真实数据说明了该框架在生存中介分析中的应用。通过用例分析,我们明确了感兴趣的特定探索性问题,同时该方法还可广泛应用于以事件发生时间为主要临床结果的药物开发领域。
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引用次数: 0
Evaluation and comparison of covariate balance metrics in studies with time-dependent confounding. 评估和比较具有时间依赖性混杂因素的研究中的协变量平衡指标。
IF 16.4 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-07-30 DOI: 10.1002/sim.10188
David Adenyo, Jason R Guertin, Bernard Candas, Caroline Sirois, Denis Talbot

Marginal structural models have been increasingly used by analysts in recent years to account for confounding bias in studies with time-varying treatments. The parameters of these models are often estimated using inverse probability of treatment weighting. To ensure that the estimated weights adequately control confounding, it is possible to check for residual imbalance between treatment groups in the weighted data. Several balance metrics have been developed and compared in the cross-sectional case but have not yet been evaluated and compared in longitudinal studies with time-varying treatment. We have first extended the definition of several balance metrics to the case of a time-varying treatment, with or without censoring. We then compared the performance of these balance metrics in a simulation study by assessing the strength of the association between their estimated level of imbalance and bias. We found that the Mahalanobis balance performed best. Finally, the method was illustrated for estimating the cumulative effect of statins exposure over one year on the risk of cardiovascular disease or death in people aged 65 and over in population-wide administrative data. This illustration confirms the feasibility of employing our proposed metrics in large databases with multiple time-points.

近年来,分析人员越来越多地使用边际结构模型来解释时变治疗研究中的混杂偏差。这些模型的参数通常使用治疗的反概率加权法进行估计。为了确保估算的加权值能够充分控制混杂偏倚,可以检查加权数据中治疗组之间的残余不平衡。在横截面研究中已经开发并比较了几种平衡度量方法,但在治疗方法随时间变化的纵向研究中还没有进行过评估和比较。我们首先将几种平衡指标的定义扩展到有或没有普查的时变治疗情况。然后,我们在模拟研究中比较了这些平衡指标的性能,评估了其估计的不平衡水平与偏差之间的关联强度。我们发现,Mahalanobis 平衡的表现最好。最后,我们对该方法进行了说明,以估算一年内他汀类药物暴露对全人口管理数据中 65 岁及以上人群罹患心血管疾病或死亡风险的累积效应。这一说明证实了在具有多个时间点的大型数据库中采用我们提出的度量方法的可行性。
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引用次数: 0
Exact test and exact confidence interval for the Cox model. Cox 模型的精确检验和精确置信区间。
IF 16.4 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-08-07 DOI: 10.1002/sim.10189
Yongwu Shao, Zhishen Ye, Zhiwei Zhang

The Cox proportional hazards model is commonly used to analyze time-to-event data in clinical trials. Standard inference procedures for the Cox model are based on asymptotic approximations and may perform poorly when there are few events in one or both treatment groups, as may be the case when the event of interest is rare or when the experimental treatment is highly efficacious. In this article, we propose an exact test of equivalence and efficacy under a proportional hazard model with treatment effect as the only fixed effect, together with an exact confidence interval that is obtained by inverting the exact test. The proposed test is based on a conditional error method originally proposed for sample size reestimation problems. In the present context, the conditional error method is used to combine information from a sequence of hypergeometric distributions, one at each observed event time. The proposed procedures are evaluated in simulation studies and illustrated using real data from an HIV prevention trial. A companion R package "ExactCox" is available for download on CRAN.

Cox 比例危险模型常用于分析临床试验中的时间到事件数据。Cox 模型的标准推断程序基于渐近线近似值,当一个或两个治疗组中的事件较少时,可能会表现不佳,而当感兴趣的事件罕见或试验性治疗非常有效时,情况就会如此。在本文中,我们提出了在以治疗效果为唯一固定效应的比例危险模型下,对等效性和疗效进行精确检验的方法,以及通过倒置精确检验得到的精确置信区间。本文提出的检验方法基于一种条件误差法,该方法最初是针对样本量再估计问题提出的。在目前的情况下,条件误差法被用于结合来自超几何分布序列的信息,每个观测事件时间都有一个超几何分布。我们在模拟研究中对所提出的程序进行了评估,并使用一项艾滋病预防试验的真实数据进行了说明。可在 CRAN 上下载配套的 R 软件包 "ExactCox"。
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引用次数: 0
A novel block-coordinate gradient descent algorithm for simultaneous grouped selection of fixed and random effects in joint modeling. 在联合建模中同时分组选择固定效应和随机效应的新型块坐标梯度下降算法。
IF 16.4 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-10-15 Epub Date: 2024-08-15 DOI: 10.1002/sim.10193
Shuyan Chen, Zhiqing Fang, Zhong Li, Xin Liu

Joint models for longitudinal and time-to-event data are receiving increasing attention owing to its capability of capturing the possible association between these two types of data. Typically, a joint model consists of a longitudinal submodel for longitudinal processes and a survival submodel for the time-to-event response, and links two submodels by common covariates that may carry both fixed and random effects. However, research gaps still remain on how to simultaneously select fixed and random effects from the two submodels under the joint modeling framework efficiently and effectively. In this article, we propose a novel block-coordinate gradient descent (BCGD) algorithm to simultaneously select multiple longitudinal covariates that may carry fixed and random effects in the joint model. Specifically, for the multiple longitudinal processes, a linear mixed effect model is adopted where random intercepts and slopes serve as essential covariates of the trajectories, and for the survival submodel, the popular proportional hazard model is employed. A penalized likelihood estimation is used to control the dimensionality of covariates in the joint model and estimate the unknown parameters, especially when estimating the covariance matrix of random effects. The proposed BCGD method can successfully capture the useful covariates of both fixed and random effects with excellent selection power, and efficiently provide a relatively accurate estimate of fixed and random effects empirically. The simulation results show excellent performance of the proposed method and support its effectiveness. The proposed BCGD method is further applied on two real data sets, and we examine the risk factors for the effects of different heart valves, differing on type of tissue, implanted in the aortic position and the risk factors for the diagnosis of primary biliary cholangitis.

纵向数据和时间到事件数据的联合模型由于能够捕捉到这两类数据之间可能存在的关联而受到越来越多的关注。通常情况下,联合模型由用于纵向过程的纵向子模型和用于时间到事件响应的生存子模型组成,并通过可能带有固定效应和随机效应的共同协变量将两个子模型联系起来。然而,如何在联合建模框架下高效、有效地同时从两个子模型中选择固定效应和随机效应,仍然是研究的空白。在本文中,我们提出了一种新颖的块坐标梯度下降(BCGD)算法,用于在联合模型中同时选择可能携带固定效应和随机效应的多个纵向协变量。具体来说,对于多重纵向过程,采用线性混合效应模型,其中随机截距和斜率作为轨迹的基本协变量;对于生存子模型,采用流行的比例危险模型。采用惩罚似然估计法来控制联合模型中协变量的维度并估计未知参数,尤其是在估计随机效应的协方差矩阵时。所提出的 BCGD 方法能成功地捕捉到固定效应和随机效应的有用协变量,并具有出色的选择能力,能有效地提供相对准确的固定效应和随机效应的经验估计值。仿真结果表明了所提方法的优异性能,并支持其有效性。我们将所提出的 BCGD 方法进一步应用于两个真实数据集,研究了植入主动脉位置的不同组织类型的心脏瓣膜影响的风险因素,以及诊断原发性胆汁性胆管炎的风险因素。
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Statistics in Medicine
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