Bayesian hierarchical model

贝叶斯分层模型
  • 文章类型: Journal Article
    该试点随机对照试验方案旨在(1)评估作为一名社区精神卫生工作者(CMHW)对叙利亚难民青年(18-24岁)的福祉的影响世卫组织循证心理社会干预措施-问题管理加(PM+)-与社区中的成年人一起,(2)确定与增进福祉和应对的结果相关的机制,并减少这些CMHW之间的压力。截至2022年底,已有超过1.08亿人被迫流离失所。这些流离失所对心理健康的影响是巨大的,然而,卫生人力资源不足以满足需求。难民人口中很大一部分是青年和年轻人(YA)。有证据表明,他们参与支持他们的社区会导致他们自己和社区的福祉得到改善。这项试验训练叙利亚难民作为CMHW(n=19)或导师(n=19)为社区服务,并比较福祉,这两组与对照组(n=40)之间的压力和应对效果。我们还将评估7种机制作为干预措施影响结果的潜在途径。调查将评估结果和机制,头发样本将测量压力皮质醇。主要分析将使用贝叶斯分层模型方法对机制的轨迹和主要研究终点随时间的每个臂中的个体进行建模。我们的结果将阐明年轻人参与支持社区的关键机制,以增强他们自己的福祉。
    美国国立精神卫生研究院,NCT05265611,于2021年前瞻性注册。
    LBCTR2023015206,注册于2023年。
    This pilot randomized controlled trial protocol aims to (1) assess the impact on the wellbeing of Syrian refugee young adults (18-24 years) of being a community mental health worker (CMHW) implementing WHO\'s evidence-based psychosocial intervention - Problem Management Plus (PM+) - with adults in their community, and (2) identify the mechanisms associated with the outcomes of enhanced wellbeing and coping, and reduced stress among these CMHWs. Over 108 million people have been forcibly displaced as of the end of 2022. Mental health consequences of these displacements are significant, yet human resources for health are not sufficient to meet the needs. A large proportion of refugee populations are youth and young adults (YA). Evidence indicates their engagement in supporting their communities leads to their own enhanced wellbeing and that of their community. This trial trains Syrian refugees to serve their communities as CMHW (n=19) or tutors (n=19) and compare wellbeing, stress and coping outcomes between these two groups and a control group (n = 40). We will also assess 7 mechanisms as potential pathways for the interventions to influence outcomes. Surveys will assess outcomes and mechanisms, hair samples will measure stress cortisol. The primary analysis will use a Bayesian Hierarchical Model approach to model the trajectories of the mechanisms and primary study endpoints over time for individuals in each of the arms. Our results will elucidate critical mechanisms in which engagement of young adults to support their community enhances their own wellbeing.
    UNASSIGNED: National Institutes of Mental Health, NCT05265611, Registered prospectively in 2021.
    UNASSIGNED: LBCTR2023015206, Registered in 2023.
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  • 文章类型: Journal Article
    在传统的亚组分析中,亚组治疗效果是分别使用每个亚组的数据估算的,而不考虑同一项研究中其他亚组的数据.通过这种方式估计的亚组治疗效果可能是异质性的,由于某些亚组的样本量较小,并且与总体人群的治疗效果有很大不同。贝叶斯分层模型(BHM)可以用来推导更精确的,亚组治疗效果的异质性估计较低,更接近总体人群的治疗效果。BHM在调整效果修饰符和其他相关协变量后,在各个子组中的治疗效果具有互换性。在这篇文章中,我们将讨论使用汇总统计量应用单向和多路BHM的技术细节,和患者水平的数据进行亚组分析。基于四种新药应用的四个案例研究用于说明这些模型在连续亚组分析中的应用,二分法,时间到事件,和计数端点。
    In conventional subgroup analyses, subgroup treatment effects are estimated using data from each subgroup separately without considering data from other subgroups in the same study. The subgroup treatment effects estimated this way may be heterogenous with high variability due to small sample sizes in some subgroups and much different from the treatment effect in the overall population. A Bayesian hierarchical model (BHM) can be used to derive more precise, and less heterogenous estimates of subgroup treatment effects that are closer to the treatment effect in the overall population. BHM assumes exchangeability in treatment effect across subgroups after adjusting for effect modifiers and other relevant covariates. In this article, we will discuss the technical details for applying one-way and multi-way BHM using summary-level statistics, and patient-level data for subgroup analysis. Four case studies based on four new drug applications are used to illustrate the application of these models in subgroup analyses for continuous, dichotomous, time-to-event, and count endpoints.
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  • 文章类型: Journal Article
    贝叶斯图形模型是推断高维复杂关系的强大工具,然而,往往充满了计算和统计挑战。如果有原则地利用,与主要感兴趣的数据一起收集的越来越多的信息构成了通过指导依赖性结构的检测来减轻这些困难的机会。例如,基因网络推断可以通过使用公开可用的关于遗传变异对基因的调节的汇总统计数据来获得。在这里,我们提出了一种新颖的高斯图形建模框架,以识别和利用条件独立图中节点中心性的信息。具体来说,我们考虑一个完全联合的分层模型,以同时推断(i)稀疏精度矩阵和(ii)节点级信息的相关性,以揭示所追求的网络结构。我们使用关于节点成为枢纽的倾向的尖峰和平板子模型将这些信息编码为候选辅助变量,这允许无假设选择和解释相关变量的稀疏子集。由于实际应用需要对大型后空间进行有效的探索,我们开发了一种变分期望条件最大化算法,可以将推理扩展到数百个样本,节点和辅助变量。我们在模拟和基因网络研究中说明并利用了我们方法的优势,该研究鉴定了与免疫介导的疾病相关的生物学途径中涉及的枢纽基因。
    Bayesian graphical models are powerful tools to infer complex relationships in high dimension, yet are often fraught with computational and statistical challenges. If exploited in a principled way, the increasing information collected alongside the data of primary interest constitutes an opportunity to mitigate these difficulties by guiding the detection of dependence structures. For instance, gene network inference may be informed by the use of publicly available summary statistics on the regulation of genes by genetic variants. Here we present a novel Gaussian graphical modeling framework to identify and leverage information on the centrality of nodes in conditional independence graphs. Specifically, we consider a fully joint hierarchical model to simultaneously infer (i) sparse precision matrices and (ii) the relevance of node-level information for uncovering the sought-after network structure. We encode such information as candidate auxiliary variables using a spike-and-slab submodel on the propensity of nodes to be hubs, which allows hypothesis-free selection and interpretation of a sparse subset of relevant variables. As efficient exploration of large posterior spaces is needed for real-world applications, we develop a variational expectation conditional maximization algorithm that scales inference to hundreds of samples, nodes and auxiliary variables. We illustrate and exploit the advantages of our approach in simulations and in a gene network study which identifies hub genes involved in biological pathways relevant to immune-mediated diseases.
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  • 文章类型: Journal Article
    尽管转录组学数据通常用于分析成熟的剪接mRNA,最近的注意力集中在联合研究剪接和未剪接(或前体)mRNA,可用于研究基因调控和基因表达产生的变化。尽管如此,大多数剪接/未剪接推断方法(如RNA速度工具)集中在单个样本上,并且很少允许在样本组之间进行比较(例如,健康与病态)。此外,这种推论很有挑战性,因为剪接和未剪接的mRNA丰度具有高度的定量不确定性,由于多映射读取的普遍性,即与多个转录本(或基因)兼容的读段,和/或它们的拼接和未拼接版本。这里,我们提出了差异化监管,一种贝叶斯分层方法,用于发现实验条件之间关于未剪接mRNA相对丰度(相对于总mRNA)的变化。我们通过潜在变量方法对量化不确定性进行建模,其中读数被分配给他们的基因/转录本,和相应的拼接版本。我们设计了几个基准,我们的方法显示出良好的性能,在灵敏度和误差控制方面,vs.最先进的竞争对手。重要的是,我们的工具是灵活的,并使用批量和单细胞RNA测序数据。差异调节作为BioconductorR包分布。
    Although transcriptomics data is typically used to analyze mature spliced mRNA, recent attention has focused on jointly investigating spliced and unspliced (or precursor-) mRNA, which can be used to study gene regulation and changes in gene expression production. Nonetheless, most methods for spliced/unspliced inference (such as RNA velocity tools) focus on individual samples, and rarely allow comparisons between groups of samples (e.g. healthy vs. diseased). Furthermore, this kind of inference is challenging, because spliced and unspliced mRNA abundance is characterized by a high degree of quantification uncertainty, due to the prevalence of multi-mapping reads, ie reads compatible with multiple transcripts (or genes), and/or with both their spliced and unspliced versions. Here, we present DifferentialRegulation, a Bayesian hierarchical method to discover changes between experimental conditions with respect to the relative abundance of unspliced mRNA (over the total mRNA). We model the quantification uncertainty via a latent variable approach, where reads are allocated to their gene/transcript of origin, and to the respective splice version. We designed several benchmarks where our approach shows good performance, in terms of sensitivity and error control, vs. state-of-the-art competitors. Importantly, our tool is flexible, and works with both bulk and single-cell RNA-sequencing data. DifferentialRegulation is distributed as a Bioconductor R package.
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  • 文章类型: Journal Article
    在气候变化的情况下,并发空气污染物对公众健康的重大威胁日益严峻。为了确定PM2.5和臭氧(O3)时空相似性的共同驱动因素和程度,本文提出了一种对数高斯-Gumbel贝叶斯分层模型,该模型允许共享随机偏微分方程和一阶(SPDE-AR(1))时空相互作用结构的自回归模型。提出的模型,通过集成嵌套拉普拉斯逼近(INLA)的方法实现,在估计精度和预测能力方面表现优异,因为它增加了简约性和减少了不确定性,特别是对于共享O3子模型。除了温度的持续显著影响(正)之外,极端干旱(正),火烧面积(正),人均国内生产总值(GDP)(正),PM2.5和O3的风速(负),表面压力和降水分别与PM2.5和O3呈正相关。而人口密度两者都不相关。此外,我们的结果表明PM2.5和O3之间的时空相互作用相似,表明这些污染物的时空变化在加利福尼亚显示出相对相当大的一致性。最后,借助游览功能,我们看到,圣路易斯·奥比斯波和圣塔芭芭拉县交汇处周围的地区可能会超过USG全年与其他地区同时的不健康O3水平。我们的发现为PM2.5和O3共同控制的区域和季节性策略提供了新的见解。当人们对环境和流行病学领域的多个相互关联的过程感兴趣时,我们的方法有望被利用。
    The substantial threat of concurrent air pollutants to public health is increasingly severe under climate change. To identify the common drivers and extent of spatiotemporal similarity of PM2.5 and ozone (O3), this paper proposed a log Gaussian-Gumbel Bayesian hierarchical model allowing for sharing a stochastic partial differential equation and autoregressive model of order one (SPDE-AR(1)) spatiotemporal interaction structure. The proposed model, implemented by the approach of integrated nested Laplace approximation (INLA), outperforms in terms of estimation accuracy and prediction capacity for its increased parsimony and reduced uncertainty, especially for the shared O3 sub-model. Besides the consistently significant influence of temperature (positive), extreme drought (positive), fire burnt area (positive), gross domestic product (GDP) per capita (positive), and wind speed (negative) on both PM2.5 and O3, surface pressure and precipitation demonstrate positive associations with PM2.5 and O3, respectively. While population density relates to neither. In addition, our results demonstrate similar spatiotemporal interactions between PM2.5 and O3, indicating that the spatial and temporal variations of these pollutants show relatively considerable consistency in California. Finally, with the aid of the excursion function, we see that the areas around the intersection of San Luis Obispo and Santa Barbara counties are likely to exceed the unhealthy O3 level for USG simultaneously with other areas throughout the year. Our findings provide new insights for regional and seasonal strategies in the co-control of PM2.5 and O3. Our methodology is expected to be utilized when interest lies in multiple interrelated processes in the fields of environment and epidemiology.
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  • 文章类型: Journal Article
    多基因小组测试允许以更低的成本快速测试许多癌症易感基因,从而使更广泛的人群可以进行此类测试。因此,更多携带各种癌症易感基因致病种系突变的患者正在被发现.这创造了一个很好的机会,以及迫切需要,建议这些患者采取适当的降低风险的管理策略。咨询取决于对与特定基因突变相关的各种癌症的特定年龄风险的准确估计。ie,外显率估计。我们提出了一种基于贝叶斯分层随机效应模型的荟萃分析方法,通过整合报告不同类型风险度量的研究来获得外显率估计(例如,外显率,相对风险,优势比),同时考虑相关的不确定性。在通过马尔可夫链蒙特卡罗算法估计参数的后验分布之后,我们估计外显率和可信区间。我们研究了所提出的方法,并通过基于报告两个中等风险乳腺癌易感基因风险的研究的模拟与现有方法进行比较。ATM和PALB2。我们提出的方法在可信区间的覆盖概率和估计的均方误差方面要好得多。最后,我们应用我们的方法来估计ATM基因致病突变携带者中乳腺癌的外显率。
    Multi-gene panel testing allows many cancer susceptibility genes to be tested quickly at a lower cost making such testing accessible to a broader population. Thus, more patients carrying pathogenic germline mutations in various cancer-susceptibility genes are being identified. This creates a great opportunity, as well as an urgent need, to counsel these patients about appropriate risk-reducing management strategies. Counseling hinges on accurate estimates of age-specific risks of developing various cancers associated with mutations in a specific gene, ie, penetrance estimation. We propose a meta-analysis approach based on a Bayesian hierarchical random-effects model to obtain penetrance estimates by integrating studies reporting different types of risk measures (eg, penetrance, relative risk, odds ratio) while accounting for the associated uncertainties. After estimating posterior distributions of the parameters via a Markov chain Monte Carlo algorithm, we estimate penetrance and credible intervals. We investigate the proposed method and compare with an existing approach via simulations based on studies reporting risks for two moderate-risk breast cancer susceptibility genes, ATM and PALB2. Our proposed method is far superior in terms of coverage probability of credible intervals and mean square error of estimates. Finally, we apply our method to estimate the penetrance of breast cancer among carriers of pathogenic mutations in the ATM gene.
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  • 文章类型: Journal Article
    网络荟萃分析(NMA)是一种同时比较多种干预措施的统计程序。尽管与传统的成对荟萃分析相比,执行NMA的复杂性增加了,在适当的假设下,NMA可以通过将直接和间接证据组合并对比为可用于支持治疗指南的证据形式,从而对干预措施的比较进行更有效的估计.在实践中通常使用两大类NMA方法:基于对比度的(CB-NMA)和基于臂的(AB-NMA)模型。虽然CB-NMA只通过假设固定的截距来关注相对效果,AB-NMA在预算上提供了更大的灵活性,通过假设随机截距,包括绝对效应和相对效应。对AB-NMA的主要批评,本文旨在对此进行阐述,它不保留试验中的随机化,在某些情况下,这可能会在估计的相对效应中引入偏差。这种批评是在隐含的假设下得出的,即给定的相对效果是可以转移的,在这种情况下,数据生成机制有利于基于CB-NMA的推断,对相对效果进行建模。在这篇文章中,我们的目标是审查,总结,并详细说明基本假设,异同,以及优点和缺点,在CB-NMA和AB-NMA方法之间。由于无论采取哪种方法,间接治疗比较都容易出现偏倚风险,重要的是要将这两种方法在实践中视为互补的敏感性分析,并从数据中提供全部证据。
    Network meta-analysis (NMA) is a statistical procedure to simultaneously compare multiple interventions. Despite the added complexity of performing an NMA compared with the traditional pairwise meta-analysis, under proper assumptions the NMA can lead to more efficient estimates on the comparisons of interventions by combining and contrasting the direct and indirect evidence into a form of evidence that can be used to underpin treatment guidelines. Two broad classes of NMA methods are commonly used in practice: the contrast-based (CB-NMA) and the arm-based (AB-NMA) models. While CB-NMA only focuses on the relative effects by assuming fixed intercepts, the AB-NMA offers greater flexibility on the estimands, including both the absolute and relative effects by assuming random intercepts. A major criticism of the AB-NMA, on which we aim to elaborate in this paper, is that it does not retain randomization within trials, which may introduce bias in the estimated relative effects in some scenarios. This criticism was drawn under the implicit assumption that a given relative effect is transportable, in which case the data generating mechanism favors the inference based on CB-NMA, which models the relative effect. In this article, we aim to review, summarize, and elaborate on the underlying assumptions, similarities and differences, and also the advantages and disadvantages, between CB-NMA and AB-NMA methods. As indirect treatment comparison is susceptible to risk of bias no matter which approach is taken, it is important to consider both approaches in practice as complementary sensitivity analyses and to provide the totality of evidence from the data.
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  • 文章类型: Journal Article
    室内氡是肺癌的重要危险因素,因为3-14%的肺癌病例可以归因于氡。我们研究的目的是评估斯洛文尼亚过去40年中室内氡暴露对肺癌发病率的影响。我们分析了斯洛文尼亚212个城市和6032个定居点的肺癌发病率分布。使用Besag-York-Mollie模型对标准化的发病率进行了平滑处理,并使用集成的嵌套Laplace近似进行了拟合。一个分类解释变量,室内氡暴露的风险较低,中等和高风险值,已添加到模型中。我们还计算了人口归因分数。斯洛文尼亚2.8%至6.5%的肺癌病例归因于室内氡暴露,值随时间段而变化。在中、高风险氡暴露地区的居民中,患肺癌的相对风险明显较高。在天然氡辐射较高的地区(特别是在该国南部和东南部),室内氡暴露是斯洛文尼亚肺癌的重要危险因素。
    Indoor radon is an important risk factor for lung cancer, as 3-14% of lung cancer cases can be attributed to radon. The aim of our study was to estimate the impact of indoor radon exposure on lung cancer incidence over the last 40 years in Slovenia. We analyzed the distribution of lung cancer incidence across 212 municipalities and 6032 settlements in Slovenia. The standardized incidence ratios were smoothed with the Besag-York-Mollie model and fitted with the integrated nested Laplace approximation. A categorical explanatory variable, the risk of indoor radon exposure with low, moderate and high risk values, was added to the models. We also calculated the population attributable fraction. Between 2.8% and 6.5% of the lung cancer cases in Slovenia were attributable to indoor radon exposure, with values varying by time period. The relative risk of developing lung cancer was significantly higher among the residents of areas with a moderate and high risk of radon exposure. Indoor radon exposure is an important risk factor for lung cancer in Slovenia in areas with high natural radon radiation (especially in the southern and south-eastern parts of the country).
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  • 文章类型: Journal Article
    对地块的单次访问调查通常用于估计受保护物种的丰度。如果没有适当考虑,个人的不完美可用性和检测可能会使估计产生偏差。我们开发了现场方法和贝叶斯模型,该模型考虑了单次访问视觉图调查期间的可用性和检测偏差。我们使用模拟数据在实际的生成参数范围内测试了该方法的准确性,并将该方法应用于印度河泻湖系统中佛罗里达州东海岸的小鱼水龟,它们以前很常见,但在最近几十年里有所下降。模拟表明,该方法可以在预期在此类调查中发生的各种条件下产生无偏的丰度估计。以水龟为例,我们展示了如何包括协变量和随机效应,以改善估计并了解物种与栖息地的关系。我们的方法只需要在短期重复调查期间对个体进行计数,而不是跟踪个人身份,并且在个体可能暂时无法观察时,在各种点数设置中易于实施。我们在R和JAGS中提供了实施模型的示例,并模拟和评估数据,以验证该方法在其他研究条件下的应用。
    Single-visit surveys of plots are often used for estimating the abundance of species of conservation concern. Less-than-perfect availability and detection of individuals can bias estimates if not properly accounted for. We developed field methods and a Bayesian model that accounts for availability and detection bias during single-visit visual plot surveys. We used simulated data to test the accuracy of the method under a realistic range of generating parameters and applied the method to Florida\'s east coast diamondback terrapin in the Indian River Lagoon system, where they were formerly common but have declined in recent decades. Simulations demonstrated that the method produces unbiased abundance estimates under a wide range of conditions that can be expected to occur in such surveys. Using terrapins as an example we show how to include covariates and random effects to improve estimates and learn about species-habitat relationships. Our method requires only counting individuals during short replicate surveys rather than keeping track of individual identity and is simple to implement in a variety of point count settings when individuals may be temporarily unavailable for observation. We provide examples in R and JAGS for implementing the model and to simulate and evaluate data to validate the application of the method under other study conditions.
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  • 文章类型: Journal Article
    由于得分事件的稀缺性和高度上下文性,测量足球射击技能是一个具有挑战性的分析问题。围绕足球射击的更高级数据的引入已经产生了基于模型的度量,可以更好地应对这些挑战。具体来说,指标,如添加的预期目标,目标高于预期,和拍摄后的预期目标都使用高级数据来提供对经典转化率的改进。然而,迄今为止开发的所有指标都将零值分配给脱靶镜头,几乎占所有镜头的三分之二,因为这些镜头没有得分的可能性。我们假设脱靶射击的轨迹中包含不可忽略的射击技能信号,并提出了两个射击技能指标,这些指标将脱靶射击中包含的信号结合在一起。具体来说,我们基于截断的双变量高斯分布的混合,为射击轨迹开发了特定于玩家的生成模型。我们使用此生成模型来计算指标,使我们能够将非零值附加到脱靶镜头。我们证明了我们提出的指标比当前最先进的指标更稳定,并且具有更高的预测能力。
    Measuring soccer shooting skill is a challenging analytics problem due to the scarcity and highly contextual nature of scoring events. The introduction of more advanced data surrounding soccer shots has given rise to model-based metrics which better cope with these challenges. Specifically, metrics such as expected goals added, goals above expectation, and post-shot expected goals all use advanced data to offer an improvement over the classical conversion rate. However, all metrics developed to date assign a value of zero to off-target shots, which account for almost two-thirds of all shots, since these shots have no probability of scoring. We posit that there is non-negligible shooting skill signal contained in the trajectories of off-target shots and propose two shooting skill metrics that incorporate the signal contained in off-target shots. Specifically, we develop a player-specific generative model for shot trajectories based on a mixture of truncated bivariate Gaussian distributions. We use this generative model to compute metrics that allow us to attach non-zero value to off-target shots. We demonstrate that our proposed metrics are more stable than current state-of-the-art metrics and have increased predictive power.
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