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Doubly robust proximal synthetic controls. 双稳健近端合成控制
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae055
Hongxiang Qiu, Xu Shi, Wang Miao, Edgar Dobriban, Eric Tchetgen Tchetgen

To infer the treatment effect for a single treated unit using panel data, synthetic control (SC) methods construct a linear combination of control units' outcomes that mimics the treated unit's pre-treatment outcome trajectory. This linear combination is subsequently used to impute the counterfactual outcomes of the treated unit had it not been treated in the post-treatment period, and used to estimate the treatment effect. Existing SC methods rely on correctly modeling certain aspects of the counterfactual outcome generating mechanism and may require near-perfect matching of the pre-treatment trajectory. Inspired by proximal causal inference, we obtain two novel nonparametric identifying formulas for the average treatment effect for the treated unit: one is based on weighting, and the other combines models for the counterfactual outcome and the weighting function. We introduce the concept of covariate shift to SCs to obtain these identification results conditional on the treatment assignment. We also develop two treatment effect estimators based on these two formulas and generalized method of moments. One new estimator is doubly robust: it is consistent and asymptotically normal if at least one of the outcome and weighting models is correctly specified. We demonstrate the performance of the methods via simulations and apply them to evaluate the effectiveness of a pneumococcal conjugate vaccine on the risk of all-cause pneumonia in Brazil.

为了利用面板数据推断单个受治疗单位的治疗效果,合成对照(SC)方法构建了一个对照单位结果的线性组合,模拟受治疗单位治疗前的结果轨迹。这种线性组合随后被用来估算受治疗单位在治疗后未接受治疗时的反事实结果,并用来估计治疗效果。现有的反事实方法依赖于对反事实结果产生机制的某些方面进行正确建模,可能需要对治疗前的轨迹进行近乎完美的匹配。受近似因果推理的启发,我们得到了两个新的非参数识别公式,用于识别治疗单位的平均治疗效果:一个基于加权,另一个结合了反事实结果模型和加权函数。我们在 SC 中引入了协变量转移的概念,以获得这些以治疗分配为条件的识别结果。我们还根据这两个公式和广义矩法开发了两个治疗效果估计器。其中一个新的估计器具有双重稳健性:如果至少有一个结果模型和加权模型是正确指定的,那么它就是一致的和渐近正态的。我们通过模拟演示了这些方法的性能,并将其用于评估肺炎球菌结合疫苗对巴西全因肺炎风险的影响。
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引用次数: 0
High-dimensional multisubject time series transition matrix inference with application to brain connectivity analysis. 高维多受试者时间序列转换矩阵推理在大脑连接性分析中的应用。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae021
Xiang Lyu, Jian Kang, Lexin Li

Brain-effective connectivity analysis quantifies directed influence of one neural element or region over another, and it is of great scientific interest to understand how effective connectivity pattern is affected by variations of subject conditions. Vector autoregression (VAR) is a useful tool for this type of problems. However, there is a paucity of solutions when there is measurement error, when there are multiple subjects, and when the focus is the inference of the transition matrix. In this article, we study the problem of transition matrix inference under the high-dimensional VAR model with measurement error and multiple subjects. We propose a simultaneous testing procedure, with three key components: a modified expectation-maximization (EM) algorithm, a test statistic based on the tensor regression of a bias-corrected estimator of the lagged auto-covariance given the covariates, and a properly thresholded simultaneous test. We establish the uniform consistency for the estimators of our modified EM, and show that the subsequent test achieves both a consistent false discovery control, and its power approaches one asymptotically. We demonstrate the efficacy of our method through both simulations and a brain connectivity study of task-evoked functional magnetic resonance imaging.

大脑有效连接分析量化了一个神经元素或区域对另一个神经元素或区域的定向影响,了解有效连接模式如何受主体条件变化的影响具有重大的科学意义。向量自回归(VAR)是解决这类问题的有效工具。然而,当存在测量误差、有多个受试者以及重点是推断过渡矩阵时,解决方案却非常匮乏。本文研究了具有测量误差和多主体的高维 VAR 模型下的转换矩阵推断问题。我们提出了一种同步检验程序,包括三个关键部分:改进的期望最大化(EM)算法、基于给定协变量的滞后自协方差偏差校正估计器的张量回归的检验统计量,以及适当阈值化的同步检验。我们建立了修正 EM 估计数的统一一致性,并证明随后的检验既实现了一致的误发现控制,其功率也渐近于 1。我们通过模拟和任务诱发功能磁共振成像的大脑连接研究证明了我们方法的有效性。
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引用次数: 0
Discussion on "Bayesian meta-analysis of penetrance for cancer risk" by Thanthirige Lakshika M. Ruberu, Danielle Braun, Giovanni Parmigiani, and Swati Biswas. Thanthirige Lakshika M. Ruberu、Danielle Braun、Giovanni Parmigiani 和 Swati Biswas 关于 "癌症风险渗透的贝叶斯元分析 "的讨论。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae041
Gianluca Baio
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引用次数: 0
Regression models for average hazard. 平均危害回归模型
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae037
Hajime Uno, Lu Tian, Miki Horiguchi, Satoshi Hattori, Kenneth L Kehl

Limitations of using the traditional Cox's hazard ratio for summarizing the magnitude of the treatment effect on time-to-event outcomes have been widely discussed, and alternative measures that do not have such limitations are gaining attention. One of the alternative methods recently proposed, in a simple 2-sample comparison setting, uses the average hazard with survival weight (AH), which can be interpreted as the general censoring-free person-time incidence rate on a given time window. In this paper, we propose a new regression analysis approach for the AH with a truncation time τ. We investigate 3 versions of AH regression analysis, assuming (1) independent censoring, (2) group-specific censoring, and (3) covariate-dependent censoring. The proposed AH regression methods are closely related to robust Poisson regression. While the new approach needs to require a truncation time τ explicitly, it can be more robust than Poisson regression in the presence of censoring. With the AH regression approach, one can summarize the between-group treatment difference in both absolute difference and relative terms, adjusting for covariates that are associated with the outcome. This property will increase the likelihood that the treatment effect magnitude is correctly interpreted. The AH regression approach can be a useful alternative to the traditional Cox's hazard ratio approach for estimating and reporting the magnitude of the treatment effect on time-to-event outcomes.

使用传统的 Cox 危险比来概括治疗对时间到事件结果的影响程度的局限性已被广泛讨论,而没有这些局限性的替代测量方法正受到越来越多的关注。最近提出的一种替代方法是,在简单的双样本比较设置中,使用带生存权重的平均危险度(AH),它可以解释为给定时间窗上的一般无删减人时发病率。本文提出了一种新的截断时间为 τ 的 AH 回归分析方法。我们研究了 3 个版本的 AH 回归分析,分别假定:(1)独立普查;(2)特定组普查;(3)依赖于协变量的普查。所提出的 AH 回归方法与稳健泊松回归密切相关。虽然新方法需要明确要求截断时间 τ,但在存在剔除的情况下,它比泊松回归更稳健。采用 AH 回归方法,我们可以用绝对差异和相对差异来概括组间治疗差异,并对与结果相关的协变量进行调整。这一特性将增加正确解释治疗效果大小的可能性。在估计和报告治疗对时间到事件结果的影响程度时,AH 回归方法可以替代传统的 Cox 危险比方法。
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引用次数: 0
Discussion on "Bayesian meta-analysis of penetrance for cancer risk" by Thanthirige Lakshika M. Ruberu, Danielle Braun, Giovanni Parmigiani, and Swati Biswas. Thanthirige Lakshika M. Ruberu、Danielle Braun、Giovanni Parmigiani 和 Swati Biswas 关于 "癌症风险渗透的贝叶斯元分析 "的讨论。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae044
Paul Gustafson
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引用次数: 0
Behavioral carry-over effect and power consideration in crossover trials. 交叉试验中的行为延续效应和功率考虑。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae023
Danni Shi, Ting Ye

A crossover trial is an efficient trial design when there is no carry-over effect. To reduce the impact of the biological carry-over effect, a washout period is often designed. However, the carry-over effect remains an outstanding concern when a washout period is unethical or cannot sufficiently diminish the impact of the carry-over effect. The latter can occur in comparative effectiveness research, where the carry-over effect is often non-biological but behavioral. In this paper, we investigate the crossover design under a potential outcomes framework with and without the carry-over effect. We find that when the carry-over effect exists and satisfies a sign condition, the basic estimator underestimates the treatment effect, which does not inflate the type I error of one-sided tests but negatively impacts the power. This leads to a power trade-off between the crossover design and the parallel-group design, and we derive the condition under which the crossover design does not lead to type I error inflation and is still more powerful than the parallel-group design. We also develop covariate adjustment methods for crossover trials. We evaluate the performance of cross-over design and covariate adjustment using data from the MTN-034/REACH study.

交叉试验是一种不存在带入效应的高效试验设计。为了减少生物转化效应的影响,通常会设计一个冲洗期。然而,当冲洗期不符合伦理道德或无法充分降低携带效应的影响时,携带效应仍然是一个突出的问题。后者可能发生在比较效益研究中,因为这种效应通常不是生物性的,而是行为性的。在本文中,我们研究了潜在结果框架下的交叉设计,包括带入效应和不带入效应。我们发现,当携带效应存在并满足符号条件时,基本估计器会低估治疗效果,这不会扩大单侧检验的 I 型误差,但会对功率产生负面影响。这导致了交叉设计和平行组设计之间的功率权衡,我们推导出了交叉设计不会导致 I 型误差膨胀且仍比平行组设计更有效的条件。我们还开发了交叉试验的协变量调整方法。我们使用 MTN-034/REACH 研究的数据评估了交叉设计和协变量调整的性能。
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引用次数: 0
Well-spread samples with dynamic sample sizes. 样本分布均匀,样本大小动态变化。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae026
Blair Robertson, Chris Price, Marco Reale

A spatial sampling design determines where sample locations are placed in a study area so that population parameters can be estimated with relatively high precision. If the response variable has spatial trends, spatially balanced or well-spread designs give precise results for commonly used estimators. This article proposes a new method that draws well-spread samples over arbitrary auxiliary spaces and can be used for master sampling applications. All we require is a measure of the distance between population units. Numerical results show that the method generates well-spread samples and compares favorably with existing designs. We provide an example application using several auxiliary variables to estimate total aboveground biomass over a large study area in Eastern Amazonia, Brazil. Multipurpose surveys are also considered, where the totals of aboveground biomass, primary production, and clay content (3 responses) are estimated from a single well-spread sample over the auxiliary space.

空间抽样设计决定了在研究区域内放置样本位置的位置,以便以相对较高的精度估算人口参数。如果响应变量具有空间趋势,空间均衡或良好分布设计可为常用估计器提供精确结果。本文提出了一种新方法,可在任意辅助空间上抽取分布均匀的样本,并可用于主抽样应用。我们所需要的仅仅是人口单位之间距离的度量。数值结果表明,该方法生成的样本分布良好,与现有设计相比效果更佳。我们提供了一个应用实例,使用几个辅助变量来估算巴西东亚马孙地区一大片研究区域的总地上生物量。我们还考虑了多用途调查,其中地上生物量、初级生产量和粘土含量(3 个响应)的总量是通过辅助空间的单个良好分布样本估算的。
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引用次数: 0
Efficient data integration under prior probability shift. 先验概率偏移下的高效数据整合。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae035
Ming-Yueh Huang, Jing Qin, Chiung-Yu Huang

Conventional supervised learning usually operates under the premise that data are collected from the same underlying population. However, challenges may arise when integrating new data from different populations, resulting in a phenomenon known as dataset shift. This paper focuses on prior probability shift, where the distribution of the outcome varies across datasets but the conditional distribution of features given the outcome remains the same. To tackle the challenges posed by such shift, we propose an estimation algorithm that can efficiently combine information from multiple sources. Unlike existing methods that are restricted to discrete outcomes, the proposed approach accommodates both discrete and continuous outcomes. It also handles high-dimensional covariate vectors through variable selection using an adaptive least absolute shrinkage and selection operator penalty, producing efficient estimates that possess the oracle property. Moreover, a novel semiparametric likelihood ratio test is proposed to check the validity of prior probability shift assumptions by embedding the null conditional density function into Neyman's smooth alternatives (Neyman, 1937) and testing study-specific parameters. We demonstrate the effectiveness of our proposed method through extensive simulations and a real data example. The proposed methods serve as a useful addition to the repertoire of tools for dealing dataset shifts.

传统的监督学习通常以从同一基础人群中收集数据为前提。然而,在整合来自不同群体的新数据时,可能会出现挑战,导致一种被称为数据集偏移的现象。本文重点讨论先验概率偏移,即不同数据集的结果分布不同,但给定结果的特征的条件分布保持不变。为了应对这种偏移带来的挑战,我们提出了一种能有效结合多种来源信息的估计算法。与局限于离散结果的现有方法不同,我们提出的方法同时适用于离散和连续结果。它还通过使用自适应最小绝对收缩和选择算子惩罚的变量选择来处理高维协变量向量,从而产生具有甲骨文特性的高效估计。此外,我们还提出了一种新的半参数似然比检验方法,通过将空条件密度函数嵌入奈曼平滑替代变量(奈曼,1937 年)并检验特定研究参数,来检查先验概率偏移假设的有效性。我们通过大量模拟和真实数据示例证明了所提方法的有效性。所提出的方法是对处理数据集偏移工具的有益补充。
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引用次数: 0
Efficient testing of the biomarker positive and negative subgroups in a biomarker-stratified trial. 在生物标志物分层试验中对生物标志物阳性和阴性亚组进行高效测试。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae056
Lang Li, Anastasia Ivanova

In many randomized placebo-controlled trials with a biomarker defined subgroup, it is believed that this subgroup has the same or higher treatment effect compared with its complement. These subgroups are often referred to as the biomarker positive and negative subgroups. Most biomarker-stratified pivotal trials are aimed at demonstrating a significant treatment effect either in the biomarker positive subgroup or in the overall population. A major shortcoming of this approach is that the treatment can be declared effective in the overall population even though it has no effect in the biomarker negative subgroup. We use the isotonic assumption about the treatment effects in the two subgroups to construct an efficient way to test for a treatment effect in both the biomarker positive and negative subgroups. A substantial reduction in the required sample size for such a trial compared with existing methods makes evaluating the treatment effect in both the biomarker positive and negative subgroups feasible in pivotal trials especially when the prevalence of the biomarker positive subgroup is less than 0.5.

在许多随机安慰剂对照试验中,有一个生物标志物定义的亚组,人们认为该亚组与其互补组相比具有相同或更高的治疗效果。这些亚组通常被称为生物标志物阳性亚组和阴性亚组。大多数生物标志物分层关键性试验的目的是在生物标志物阳性亚组或总体人群中证明显著的治疗效果。这种方法的一个主要缺点是,即使在生物标志物阴性亚组中没有效果,也可以宣布治疗在总体人群中有效。我们利用两个亚组中治疗效果的同调假设,构建了一种在生物标志物阳性亚组和阴性亚组中检验治疗效果的有效方法。与现有方法相比,这种试验所需的样本量大大减少,因此在关键试验中评估生物标志物阳性亚组和阴性亚组的治疗效果是可行的,尤其是当生物标志物阳性亚组的发病率低于 0.5 时。
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引用次数: 0
Discussion on "Bayesian meta-analysis of penetrance for cancer risk" by Thanthirige Lakshika M. Ruberu, Danielle Braun, Giovanni Parmigiani, and Swati Biswas. Thanthirige Lakshika M. Ruberu、Danielle Braun、Giovanni Parmigiani 和 Swati Biswas 关于 "癌症风险渗透的贝叶斯元分析 "的讨论。
IF 1.9 4区 数学 Q1 Mathematics Pub Date : 2024-03-27 DOI: 10.1093/biomtc/ujae043
Moreno Ursino, Sarah Zohar

We congratulate the authors for the new meta-analysis model that accounts for different outcomes. We discuss the modeling choice and the Bayesian setting, specifically, we point out the connection between the Bayesian hierarchical model and a mixed-effect model formulation to subsequently discuss possible future method extensions.

我们祝贺作者提出了考虑不同结果的新元分析模型。我们讨论了建模选择和贝叶斯设置,特别指出了贝叶斯层次模型和混合效应模型表述之间的联系,并随后讨论了未来可能的方法扩展。
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引用次数: 0
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Biometrics
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