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Assessing spillover effects: Handling missing outcomes in network-based studies. 评估溢出效应:处理网络研究中缺失的结果。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-07 DOI: 10.1177/09622802251382586
TingFang Lee, Ashley L Buchanan, Natallia Katenka, Laura Forastiere, M Elizabeth Halloran, Georgios Nikolopoulos

Estimating causal effects in the presence of spillover among individuals within a social network poses challenges due to missing information. Spillover effects refer to the impact of an intervention on individuals not directly exposed themselves but connected to intervention recipients within the network. In network-based studies, outcomes may be missing due to study termination or participant dropout, termed censoring. We introduce an inverse probability censoring weighted estimator which extends the inverse probability weighted estimator for network-based observational studies to handle possible outcome censoring. We prove the consistency and asymptotic normality of the proposed estimator and derive a closed-form estimator for its asymptotic variance. Applying the inverse probability censoring weighted estimator, we assess spillover effects in a network-based study of a nonrandomized intervention with outcome censoring. A simulation study evaluates the finite-sample performance of the inverse probability censoring weighted estimator, demonstrating its effectiveness with sufficiently large sample sizes and number of connected subnetworks. We then employ the method to assess spillover effects of community alerts on self-reported human immunodeficiency virus risk behavior among people who inject drugs and their contacts in the Transmission Reduction Intervention Project (TRIP), from 2013 to 2015, Athens, Greece. Results suggest that community alerts may help reduce human immunodeficiency virus risk behavior for both the individuals who receive them and others in their network, possibly through shared information. In this study, we found that the risk of human immunodeficiency virus behavior was reduced by increasing the proportion of a participant's immediate contacts exposed to community alerts.

由于信息缺失,估计社会网络中个体之间存在溢出效应的因果关系带来了挑战。溢出效应是指一项干预对自身不直接暴露但与网络内的干预接受者有联系的个体产生的影响。在基于网络的研究中,由于研究终止或参与者退出,结果可能会丢失,称为审查。我们引入了一个逆概率滤波加权估计量,它扩展了基于网络的观测研究的逆概率加权估计量,以处理可能的结果滤波。我们证明了所提估计量的相合性和渐近正态性,并导出了其渐近方差的一个闭型估计量。应用逆概率审查加权估计器,我们评估了一个基于网络的非随机干预的结果审查研究的溢出效应。仿真研究评估了逆概率滤波加权估计器的有限样本性能,证明了它在足够大的样本量和连接的子网数量下的有效性。然后,我们采用该方法评估了2013年至2015年在希腊雅典的减少传播干预项目(TRIP)中,社区警报对注射吸毒者及其接触者自我报告的人类免疫缺陷病毒风险行为的溢出效应。结果表明,社区警报可能有助于减少接受警报的个人和其网络中的其他人的人类免疫缺陷病毒风险行为,可能通过共享信息。在这项研究中,我们发现通过增加参与者暴露于社区警报的直接接触者的比例,降低了人类免疫缺陷病毒行为的风险。
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引用次数: 0
Investigations of sharp bounds for causal effects under selection bias. 选择偏差下因果效应的尖锐界限的研究。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-09-30 DOI: 10.1177/09622802251374168
Stina Zetterstrom, Arvid Sjölander, Ingeborg Waernbaum

Selection bias is a common type of bias, and depending on the causal estimand of interest and the structure of the selection variable, it can be a threat to both external and internal validity. One way to quantify the maximum magnitude of potential selection bias is to calculate bounds for the causal estimand. Here, we consider previously proposed bounds for selection bias, which require the specification of certain sensitivity parameters. First, we show that the sensitivity parameters are variation independent. Second, we show that the bounds are sharp under certain conditions. Furthermore, we derive improved bounds that are based on the same sensitivity parameters. Depending on the causal estimand, these bounds require additional information regarding the selection probabilities. We illustrate the improved bounds in an empirical example where the effect of breakfast eating on overweight is estimated. Lastly, the performance of the bounds are investigated in a numerical experiment for sharp and non-sharp cases.

选择偏差是一种常见的偏差类型,根据兴趣的因果估计和选择变量的结构,它可以对外部和内部有效性构成威胁。量化潜在选择偏差的最大幅度的一种方法是计算因果估计的界限。在这里,我们考虑先前提出的选择偏差的界限,这需要指定某些灵敏度参数。首先,我们证明了灵敏度参数是变化无关的。其次,我们证明了在某些条件下边界是尖锐的。此外,我们还推导了基于相同灵敏度参数的改进边界。根据因果估计,这些界限需要关于选择概率的附加信息。我们在一个经验例子中说明了改进的界限,其中估计了吃早餐对超重的影响。最后,通过数值实验研究了边界在尖锐和非尖锐情况下的性能。
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引用次数: 0
On identification and estimation for sufficient cause interaction through a quasi-instrumental variable. 通过准工具变量对充分原因相互作用的识别和估计。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-09-30 DOI: 10.1177/09622802251376236
Pei-Hsuan Hsia, An-Shun Tai, Shih-Chen Fu, Sheng-Hsuan Lin

Mechanistic interaction concerns how exposures affect the outcome. When investigating mechanisms, synergism is the most mentioned type in the fields of genetic study and pharmacology. Synergism is defined under the framework of sufficient component cause model, which is difficult to be quantified directly. Sufficient cause interaction (SCI) is the only alternative metric to imply the existence of synergism. VanderWeele and Robins provided empirical tests for SCIs. However, this test only assesses the lower bound of SCIs rather than estimate SCIs directly due to the lack of the degree of freedom, which causes low power. To address this issue, in this study, we propose a novel method to estimate the probability of individual with SCI by introducing a new factor named quasi-instrumental variable, which is necessary for the background condition of SCI. We also develop a corresponding hypothesis test and show that it is more powerful than the existing empirical test. We demonstrate this method by applying it to estimate the synergistic effects between intestinal bacteria on the formation of Parkinson's disease.

机制相互作用关注暴露如何影响结果。在研究机制时,协同作用是遗传研究和药理学领域中被提及最多的类型。协同作用是在充分成分原因模型框架下定义的,难以直接量化。充分原因相互作用(SCI)是暗示协同作用存在的唯一替代度量。VanderWeele和Robins对SCIs进行了实证检验。然而,由于缺乏自由度,该测试仅评估SCIs的下界,而不是直接估计SCIs,从而导致低功耗。为了解决这一问题,本研究提出了一种估算SCI个体发生概率的新方法,即引入SCI背景条件所必需的准工具变量。我们还开发了相应的假设检验,并表明它比现有的实证检验更有效。我们通过应用它来估计肠道细菌对帕金森病形成的协同作用来证明这种方法。
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引用次数: 0
Center-specific causal inference with multicenter trials-Interpreting trial evidence in the context of each participating center. 多中心试验的中心特异性因果推断——在每个参与试验的中心的背景下解释试验证据。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-21 DOI: 10.1177/09622802251380624
Sarah E Robertson, Jon A Steingrimsson, Nina R Joyce, Elizabeth A Stuart, Issa J Dahabreh

In multicenter randomized trials, when effect modifiers have a different distribution across centers, comparisons between treatment groups that average (standardize) effects over centers may not apply to any of the populations underlying the individual centers. In the presence of such heterogeneity, interpreting the evidence produced by a multicenter trial in the context of the local population underlying each center may be necessary. Here, we identify center-specific effects under conditions that are largely supported by the study design and are weaker than those underlying popular methods for the analysis of multicenter studies, in the presence of associations between center membership and the outcome ("center-outcome associations" conditional on baseline covariates and treatment). We then consider an additional testable condition of "no center-outcome associations," given baseline covariates and treatment. We propose methods for estimating center-specific average treatment effects, when center-outcome associations are present and when they are absent. When center-outcome associations are absent, we discuss how the proposed methods are often more efficient and make weaker conditions than related transportability methods applied to multicenter trials. We evaluate the performance of the methods in a simulation study and illustrate their implementation using data from the Hepatitis C Antiviral Long-Term Treatment Against Cirrhosis trial.

在多中心随机试验中,当效应调节因子在各中心的分布不同时,治疗组之间的比较,即平均(标准化)各中心的效应,可能不适用于各个中心基础的任何人群。在存在这种异质性的情况下,可能有必要在每个中心的当地人群背景下解释多中心试验产生的证据。在这里,我们确定了在研究设计的支持下,在中心成员和结果之间存在关联(“中心-结果关联”以基线协变量和治疗为条件)的条件下,中心特异性效应比那些用于多中心研究分析的潜在流行方法弱。然后我们考虑一个额外的可测试条件“无中心结果关联”,给定基线协变量和治疗。我们提出了评估中心特异性平均治疗效果的方法,当中心-结果关联存在时,当它们不存在时。当中心结果相关性缺失时,我们讨论了所提出的方法如何比应用于多中心试验的相关可转运性方法更有效,且条件更弱。我们在模拟研究中评估了这些方法的性能,并使用丙型肝炎抗病毒长期治疗肝硬化试验的数据说明了它们的实施。
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引用次数: 0
Augmented two-stage estimation for treatment switching in oncology trials: Leveraging external data for improved precision. 肿瘤学试验中治疗转换的增强两阶段估计:利用外部数据提高精度。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-09-30 DOI: 10.1177/09622802251374838
Harlan Campbell, Nicholas Latimer, Jeroen P Jansen, Shannon Cope

Randomized controlled trials in oncology often allow control group participants to switch to experimental treatments, a practice that, while often ethically necessary, complicates the accurate estimation of long-term treatment effects. When switching rates are high or sample sizes are limited, commonly used methods for treatment switching adjustment (such as the rank-preserving structural failure time model, inverse probability of censoring weights, and two-stage estimation) may produce imprecise estimates. Real-world data can be used to develop an external control arm for the randomized controlled trial, although this approach ignores evidence from trial subjects who did not switch and ignores evidence from the data obtained prior to switching for those subjects who did. This article introduces "augmented two-stage estimation" (ATSE), a method that combines data from non-switching participants in a randomized controlled trial with an external dataset, forming a "hybrid non-switching arm". While aiming for more precise estimation, the augmented two-stage estimation requires strong assumptions. Namely, conditional on all the observed covariates: (1) a participant's decision to switch treatments must be independent of their post-progression survival, and (2) individuals from the randomized controlled trial and the external cohort must be exchangeable. With a simulation study, we evaluate the augmented two-stage estimation method's performance compared to two-stage estimation adjustment and an external control arm approach. Results indicate that performance is dependent on scenario characteristics, but when unconfounded external data are available, augmented two-stage estimation may result in less bias and improved precision compared to two-stage estimation and external control arm approaches. When external data are affected by unmeasured confounding, augmented two-stage estimation becomes prone to bias, but to a lesser extent compared to an external control arm approach.

肿瘤学的随机对照试验通常允许对照组的参与者转向实验性治疗,这种做法虽然在伦理上是必要的,但却使对长期治疗效果的准确估计变得复杂。当切换率很高或样本量有限时,常用的处理切换调整方法(如保秩结构失效时间模型、审查权的逆概率和两阶段估计)可能会产生不精确的估计。现实世界的数据可以用于开发随机对照试验的外部控制臂,尽管这种方法忽略了没有转换的试验受试者的证据,也忽略了转换受试者之前获得的数据的证据。本文介绍了“增强两阶段估计”(augmented两阶段估计),这是一种将随机对照试验中非切换参与者的数据与外部数据集相结合,形成“混合非切换臂”的方法。在提高估计精度的同时,增广两阶段估计需要很强的假设。也就是说,所有观察到的协变量都是有条件的:(1)参与者切换治疗的决定必须独立于他们的进展后生存,(2)随机对照试验和外部队列中的个体必须是可交换的。通过仿真研究,我们评估了增强两阶段估计方法与两阶段估计调整和外部控制臂方法的性能。结果表明,性能取决于场景特征,但当无混杂外部数据可用时,与两阶段估计和外部控制臂方法相比,增强的两阶段估计可能导致更小的偏差和更高的精度。当外部数据受到未测量的混杂影响时,增强两阶段估计容易产生偏差,但与外部控制臂方法相比,偏差的程度较小。
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引用次数: 0
Meta-analysis with a single study. 单项研究的荟萃分析。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-09 DOI: 10.1177/09622802251380628
Erik van Zwet, Witold Wiȩcek, Andrew Gelman

Effect sizes typically vary among studies of the same intervention. In a random effects meta-analysis, this source of variation is taken into account, at least to some extent. However, when we have only one study, the heterogeneity remains hidden and unaccounted for. Treating the study-level effect as if it is the population-level effect leads to underestimation of the uncertainty. We propose an empirical Bayesian approach to address this problem. We start by estimating the distribution of the population-level effects and heterogeneity among 1635 meta-analyses from the Cochrane Database of Systematic Reviews. Using both synthetic data and cross-validation, we assess the consequences of using these estimated distributions as prior information for the analysis of single trials. We find that our Bayesian "meta-analyses of single studies" perform much better than naively assuming non-varying effects. The prior on the heterogeneity results in better quantification of the uncertainty. The prior on the treatment effect substantially reduces the mean squared error both for estimating the study-level and population-level effects. For the latter, this reduction is equivalent to doubling the sample size.

在相同干预措施的研究中,效果大小通常不同。在随机效应荟萃分析中,至少在某种程度上考虑了这种变异的来源。然而,当我们只有一项研究时,异质性仍然是隐藏的和未解释的。将研究水平效应视为群体水平效应会导致对不确定性的低估。我们提出一个经验贝叶斯方法来解决这个问题。我们首先估计来自Cochrane系统评价数据库的1635项荟萃分析中人群水平效应和异质性的分布。使用合成数据和交叉验证,我们评估了使用这些估计分布作为单个试验分析的先验信息的后果。我们发现我们的贝叶斯“单一研究的荟萃分析”比天真地假设无变化效应要好得多。对异质性的先验结果可以更好地量化不确定度。治疗效果的先验大大降低了估计研究水平和人群水平效应的均方误差。对于后者,这种减少相当于将样本量增加一倍。
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引用次数: 0
Modeling the effect of longitudinal markers on left-truncated time-to-event outcomes in twin studies. 孪生研究中纵向标记对左截断事件时间结果的影响建模。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-14 DOI: 10.1177/09622802251383643
Annah Muli, Mar Rodriguez-Girondo, Jeanine Houwing-Duistermaat

The identification of biomarkers for disease onset in longitudinal studies necessitates precise estimation of the association between longitudinal markers and survival outcomes. Currently, methods for estimating these associations in the context of left-truncated and clustered survival outcomes are lacking. In this study, we propose a novel model tailored to this scenario and develop several estimation methods: last observation carried forward, regression calibration, and a two-stage likelihood approach for joint modeling of longitudinal and survival processes. Simulation results indicate that the last observation carried forward method performs well only with a dense grid and no marker measurement error. For less dense grids and low measurement error, regression calibration approaches are preferred. Joint modeling approaches outperform calibration methods in the presence of measurement error, although they may suffer from numerical instability. In cases of numerical instability, calibration methods might be a good alternative. We applied these methodologies to the TwinsUK data to estimate the effect of bone mineral density (BMD) as a longitudinal marker on fracture incidence in 766 elderly females, 138 of whom experienced a fracture. The survival model included a shared gamma-distributed frailty to account for correlation between the times to fracture of twin pairs. Estimates obtained using calibration and joint modeling approaches indicated a larger BMD effect compared to the last observation carried forward method, likely due to the irregular BMD measurement process and minimal measurement error. Overall, our methods offer valuable tools for modeling the effect of a longitudinal marker on survival outcomes in complex designs.

在纵向研究中,确定疾病发病的生物标志物需要精确估计纵向标志物与生存结果之间的关联。目前,在左截断和集群生存结果的背景下,缺乏评估这些关联的方法。在这项研究中,我们提出了一个针对这种情况的新模型,并开发了几种估计方法:最后的观测值,回归校准,以及纵向和生存过程联合建模的两阶段似然方法。仿真结果表明,仅在网格密集且无标记点测量误差的情况下,末次观测结转方法具有良好的性能。对于网格密度较小、测量误差较小的情况,首选回归校正方法。在存在测量误差的情况下,联合建模方法优于校准方法,尽管它们可能受到数值不稳定性的影响。在数值不稳定的情况下,校准方法可能是一个很好的选择。我们将这些方法应用于TwinsUK数据,以估计骨密度(BMD)作为纵向标记物对766名老年女性骨折发生率的影响,其中138人经历过骨折。生存模型包括一个共同的伽马分布脆弱性,以解释双胞胎断裂时间之间的相关性。使用校准和联合建模方法获得的估计表明,与最后一次观测结转方法相比,BMD效应更大,这可能是由于BMD测量过程不规则和测量误差最小。总的来说,我们的方法为复杂设计中纵向标记对生存结果的影响建模提供了有价值的工具。
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引用次数: 0
Exact power and sample size in clinical trials with two co-primary binary endpoints. 具有两个共同主要二元终点的临床试验的确切功率和样本量。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-11-01 Epub Date: 2025-08-29 DOI: 10.1177/09622802251368697
Gosuke Homma, Takuma Yoshida

Binary endpoints are used widely to evaluate treatment effects during clinical trials. Although clinical trials in many therapeutic areas evaluate a single binary endpoint as the primary endpoint, clinical trials in certain therapeutic areas require two co-primary binary endpoints to evaluate treatment benefit multi-dimensionally. We consider the situation in which evidence of effects on both co-primary endpoints is necessary to conclude that the intervention is effective, which differs from approaches by which significance on at least one endpoint is sufficient for trial success. When designing clinical trials with two co-primary binary endpoints, consideration of correlation between the endpoints can increase trial power and consequently reduce the required sample size, leading to improved efficiency. For clinical trials with two co-primary binary endpoints, methods for calculating power and sample size have been proposed, but they are based on approximations or require Monte Carlo integration. Alternatively, we propose methods for calculating the exact power and sample size in clinical trials with two co-primary binary endpoints. The proposed methods are useful for any statistical test for binary endpoints. Numerical investigation under various scenarios demonstrated that our proposed methods can incorporate consideration of the correlation between two co-primary binary endpoints in sample size calculation, thereby allowing the required sample size to be reduced. We demonstrate that the exact power for the required sample size calculated using our proposed method is approximately equal to target power. Finally, we present application of our proposed methods to a clinical trial of relapsing or refractory eosinophilic granulomatosis with polyangiitis.

在临床试验中,双终点被广泛用于评价治疗效果。虽然在许多治疗领域的临床试验评估一个单一的二元终点作为主要终点,但在某些治疗领域的临床试验需要两个共同的主要二元终点来多维地评估治疗效益。我们考虑的情况是,需要对两个共同主要终点都有影响的证据才能得出干预有效的结论,这与至少对一个终点有显著性就足以证明试验成功的方法不同。在设计具有两个共同主要双终点的临床试验时,考虑终点之间的相关性可以增加试验功率,从而减少所需的样本量,从而提高效率。对于具有两个共同主要二元终点的临床试验,已经提出了计算功率和样本量的方法,但它们是基于近似值或需要蒙特卡洛积分。或者,我们提出了在具有两个共同主要二元终点的临床试验中计算精确功率和样本量的方法。所提出的方法对任何二元端点的统计检验都是有用的。各种情况下的数值研究表明,我们提出的方法可以在样本量计算中考虑两个共同主要二进制端点之间的相关性,从而减少所需的样本量。我们证明了使用我们提出的方法计算所需样本量的确切功率近似等于目标功率。最后,我们提出我们的方法应用于复发或难治性嗜酸性肉芽肿病合并多血管炎的临床试验。
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引用次数: 0
A comparison of semi-parametric statistical modeling approaches to dynamic classification of irregularly and sparsely sampled curves. 半参数统计建模方法在不规则和稀疏抽样曲线动态分类中的比较。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-11-01 Epub Date: 2025-09-04 DOI: 10.1177/09622802251374288
Ruben Deneer, Zhuozhao Zhan, Edwin Van den Heuvel, Astrid Gm van Boxtel, Arjen-Kars Boer, Natal Aw van Riel, Volkher Scharnhorst

This study describes and compares the performance of several semi-parametric statistical modeling approaches to dynamically classify subjects into two groups, based on an irregularly and sparsely sampled curve. The motivating example of this study is the diagnosis of a complication following cardiac surgery, based on repeated measures of a single cardiac biomarker where early detection enables prompt intervention by clinicians. We first simulate data to compare the dynamic predictive performance over time for growth charts, conditional growth charts, a varying-coefficient model, a generalized functional linear model and longitudinal discriminant analysis. Our results demonstrate that functional regression approaches that implicitly incorporate historic information through random effects, provide superior discriminative ability compared to approaches that do not take historic information into account or explicitly model historic information through autoregressive terms. Semi-parametric modeling approaches show a benefit in terms of dynamic discriminative ability compared to the clinical practice of using a fixed threshold on the raw measured value. Under high degrees of sparsity the functional regression approaches are less advantageous compared to varying-coefficient models or quantile regression. The class imbalance of the outcome affects the historic and non-historic approaches in equal measure, with lower event rates reducing performance. Finally, the functional regression and varying-coefficient model were applied to a real-world clinical dataset to demonstrate their performance and application.

本研究描述并比较了几种半参数统计建模方法的性能,这些方法基于不规则和稀疏采样曲线将受试者动态分为两组。这项研究的激励例子是心脏手术后并发症的诊断,基于单一心脏生物标志物的重复测量,早期发现使临床医生能够及时干预。我们首先模拟数据,比较增长图、条件增长图、变系数模型、广义函数线性模型和纵向判别分析随时间的动态预测性能。我们的研究结果表明,与不考虑历史信息或通过自回归项明确建模历史信息的方法相比,通过随机效应隐含地纳入历史信息的功能回归方法提供了更好的判别能力。与在原始测量值上使用固定阈值的临床实践相比,半参数化建模方法在动态判别能力方面表现出优势。在高稀疏度下,函数回归方法与变系数模型或分位数回归相比没有优势。结果的类别不平衡同等程度地影响历史和非历史方法,较低的事件率会降低性能。最后,将函数回归和变系数模型应用于实际临床数据集,以验证其性能和应用。
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引用次数: 0
A Bayesian approach towards the identification of latent subgroups. 贝叶斯方法对潜在亚群的识别。
IF 1.9 3区 医学 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2025-11-01 Epub Date: 2025-08-29 DOI: 10.1177/09622802251367442
Ethan M Alt, Peter Yi Guan, Larry Leon, Amarjot Kaur, Yue Shentu, Guoqing Diao, Xianming Tan, Joseph G Ibrahim

In clinical trials, it is often of interest to know whether treatment works differently for some groups than others, known as heterogeneity of treatment effect. Such subgroup analysis is complicated to conduct because trials are typically not powered to find subgroups. Furthermore, it is difficult to identify characteristics of patients pertaining to such subgroups. In this article, we propose a semiparametric mixture model to identify subgroups with time-to-event outcomes. Specifically, we assume a proportional hazards model with subgroup-specific piecewise constant baseline hazards, where the subgroup-specific treatment effect is assumed to be the same within each subgroup. The probability of belonging to a certain subgroup is a function of patient prognostic factors. Adopting a Bayesian approach, classification uncertainty is taken into account. We demonstrate the utility of our approach via simulation and an application to data from a real clinical trial in HIV research.

在临床试验中,人们常常想知道治疗对某些群体的效果是否不同,这被称为治疗效果的异质性。这样的亚组分析进行起来很复杂,因为试验通常无法找到亚组。此外,很难确定属于这些亚组的患者的特征。在本文中,我们提出了一个半参数混合模型来识别具有时间到事件结果的子群。具体来说,我们假设了一个具有亚组特异性分段恒定基线风险的比例风险模型,其中亚组特异性治疗效果假设在每个子组中是相同的。属于某一亚群的概率是患者预后因素的函数。采用贝叶斯方法,考虑了分类不确定性。我们通过模拟和应用于HIV研究中真实临床试验的数据来证明我们的方法的实用性。
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引用次数: 0
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Statistical Methods in Medical Research
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