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RETROSPECTIVE VARYING COEFFICIENT ASSOCIATION ANALYSIS OF LONGITUDINAL BINARY TRAITS: APPLICATION TO THE IDENTIFICATION OF GENETIC LOCI ASSOCIATED WITH HYPERTENSION. 纵向二元性状的回顾性变化系数关联分析:应用于确定与高血压相关的遗传位点。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2024-03-01 Epub Date: 2024-01-31 DOI: 10.1214/23-aoas1798
Gang Xu, Amei Amei, Weimiao Wu, Yunqing Liu, Linchuan Shen, Edwin C Oh, Zuoheng Wang

Many genetic studies contain rich information on longitudinal phenotypes that require powerful analytical tools for optimal analysis. Genetic analysis of longitudinal data that incorporates temporal variation is important for understanding the genetic architecture and biological variation of complex diseases. Most of the existing methods assume that the contribution of genetic variants is constant over time and fail to capture the dynamic pattern of disease progression. However, the relative influence of genetic variants on complex traits fluctuates over time. In this study, we propose a retrospective varying coefficient mixed model association test, RVMMAT, to detect time-varying genetic effect on longitudinal binary traits. We model dynamic genetic effect using smoothing splines, estimate model parameters by maximizing a double penalized quasi-likelihood function, design a joint test using a Cauchy combination method, and evaluate statistical significance via a retrospective approach to achieve robustness to model misspecification. Through simulations we illustrated that the retrospective varying-coefficient test was robust to model misspecification under different ascertainment schemes and gained power over the association methods assuming constant genetic effect. We applied RVMMAT to a genome-wide association analysis of longitudinal measure of hypertension in the Multi-Ethnic Study of Atherosclerosis. Pathway analysis identified two important pathways related to G-protein signaling and DNA damage. Our results demonstrated that RVMMAT could detect biologically relevant loci and pathways in a genome scan and provided insight into the genetic architecture of hypertension.

许多遗传研究都包含丰富的纵向表型信息,需要强大的分析工具来进行优化分析。对包含时间变异的纵向数据进行遗传分析,对于了解复杂疾病的遗传结构和生物变异非常重要。现有的大多数方法都假定遗传变异的贡献随时间变化是恒定的,因此无法捕捉疾病进展的动态模式。然而,遗传变异对复杂性状的相对影响是随时间波动的。在本研究中,我们提出了一种回顾性变化系数混合模型关联检验--RVMMAT,以检测对纵向二元性状的时变遗传效应。我们使用平滑样条建立动态遗传效应模型,通过最大化双惩罚准似然比函数估计模型参数,使用考奇组合方法设计联合检验,并通过追溯方法评估统计显著性,以实现对模型错误规范的稳健性。通过模拟实验,我们证明了在不同的确定方案下,追溯性变化系数检验对模型错误规范具有稳健性,并且比假设恒定遗传效应的关联方法更有说服力。我们将 RVMMAT 应用于动脉粥样硬化多种族研究中高血压纵向测量的全基因组关联分析。通路分析确定了与 G 蛋白信号传导和 DNA 损伤相关的两条重要通路。我们的研究结果表明,RVMMAT 可以在基因组扫描中检测到与生物相关的位点和通路,并提供了对高血压遗传结构的深入了解。
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引用次数: 0
A RIEMANN MANIFOLD MODEL FRAMEWORK FOR LONGITUDINAL CHANGES IN PHYSICAL ACTIVITY PATTERNS. 体育活动模式纵向变化的里曼流形模型框架。
IF 1.8 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1758
Jingjing Zou, Tuo Lin, Chongzhi Di, John Bellettiere, Marta M Jankowska, Sheri J Hartman, Dorothy D Sears, Andrea Z LaCroix, Cheryl L Rock, Loki Natarajan

Physical activity (PA) is significantly associated with many health outcomes. The wide usage of wearable accelerometer-based activity trackers in recent years has provided a unique opportunity for in-depth research on PA and its relations with health outcomes and interventions. Past analysis of activity tracker data relies heavily on aggregating minute-level PA records into day-level summary statistics in which important information of PA temporal/diurnal patterns is lost. In this paper we propose a novel functional data analysis approach based on Riemann manifolds for modeling PA and its longitudinal changes. We model smoothed minute-level PA of a day as one-dimensional Riemann manifolds and longitudinal changes in PA in different visits as deformations between manifolds. The variability in changes of PA among a cohort of subjects is characterized via variability in the deformation. Functional principal component analysis is further adopted to model the deformations, and PC scores are used as a proxy in modeling the relation between changes in PA and health outcomes and/or interventions. We conduct comprehensive analyses on data from two clinical trials: Reach for Health (RfH) and Metabolism, Exercise and Nutrition at UCSD (MENU), focusing on the effect of interventions on longitudinal changes in PA patterns and how different modes of changes in PA influence weight loss, respectively. The proposed approach reveals unique modes of changes, including overall enhanced PA, boosted morning PA, and shifts of active hours specific to each study cohort. The results bring new insights into the study of longitudinal changes in PA and health and have the potential to facilitate designing of effective health interventions and guidelines.

体力活动(PA)与许多健康结果密切相关。近年来,基于加速度计的可穿戴活动追踪器的广泛使用为深入研究体力活动及其与健康结果和干预措施的关系提供了一个独特的机会。以往对活动追踪器数据的分析主要依赖于将分钟级的活动量记录汇总成天级的汇总统计数据,这就失去了活动量时间/昼夜模式的重要信息。在本文中,我们提出了一种基于黎曼流形的新型功能数据分析方法,用于模拟 PA 及其纵向变化。我们将一天中平滑的分钟级 PA 建模为一维黎曼流形,并将不同访问中 PA 的纵向变化建模为流形之间的变形。一组受试者之间 PA 变化的变异性通过变形的变异性来表征。我们进一步采用功能主成分分析法对变形进行建模,并将 PC 分数作为代理变量,对 PA 变化与健康结果和/或干预措施之间的关系进行建模。我们对两项临床试验的数据进行了综合分析:我们对两项临床试验的数据进行了综合分析:Reach for Health (RfH) 和 Metabolism, Exercise and Nutrition at UCSD (MENU),分别侧重于干预措施对 PA 模式纵向变化的影响,以及 PA 的不同变化模式如何影响体重减轻。所提出的方法揭示了独特的变化模式,包括整体增强的活动量、增强的晨间活动量以及每个研究队列特有的活动时间变化。这些结果为研究运动量和健康的纵向变化带来了新的见解,并有可能促进设计有效的健康干预措施和指南。
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引用次数: 0
PAIRWISE NONLINEAR DEPENDENCE ANALYSIS OF GENOMIC DATA. 基因组数据的两两非线性相关性分析。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1745
Siqi Xiang, Wan Zhang, Siyao Liu, Katherine A Hoadley, Charles M Perou, Kai Zhang, J S Marron

In The Cancer Genome Atlas (TCGA) data set, there are many interesting nonlinear dependencies between pairs of genes that reveal important relationships and subtypes of cancer. Such genomic data analysis requires a rapid, powerful and interpretable detection process, especially in a high-dimensional environment. We study the nonlinear patterns among the expression of pairs of genes from TCGA using a powerful tool called Binary Expansion Testing. We find many nonlinear patterns, some of which are driven by known cancer subtypes, some of which are novel.

在癌症基因组图谱(TCGA)数据集中,有许多有趣的非线性依赖关系的基因对揭示癌症的重要关系和亚型。这种基因组数据分析需要快速、强大和可解释的检测过程,特别是在高维环境中。我们使用一个强大的工具二进制展开测试来研究TCGA中基因对的非线性表达模式。我们发现了许多非线性模式,其中一些是由已知的癌症亚型驱动的,其中一些是新的。
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引用次数: 0
TARGETING UNDERREPRESENTED POPULATIONS IN PRECISION MEDICINE: A FEDERATED TRANSFER LEARNING APPROACH. 针对精准医疗中代表性不足的人群:一种联合转移学习方法。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-AOAS1747
By Sai Li, Tianxi Cai, Rui Duan

The limited representation of minorities and disadvantaged populations in large-scale clinical and genomics research poses a significant barrier to translating precision medicine research into practice. Prediction models are likely to underperform in underrepresented populations due to heterogeneity across populations, thereby exacerbating known health disparities. To address this issue, we propose FETA, a two-way data integration method that leverages a federated transfer learning approach to integrate heterogeneous data from diverse populations and multiple healthcare institutions, with a focus on a target population of interest having limited sample sizes. We show that FETA achieves performance comparable to the pooled analysis, where individual-level data is shared across institutions, with only a small number of communications across participating sites. Our theoretical analysis and simulation study demonstrate how FETA's estimation accuracy is influenced by communication budgets, privacy restrictions, and heterogeneity across populations. We apply FETA to multisite data from the electronic Medical Records and Genomics (eMERGE) Network to construct genetic risk prediction models for extreme obesity. Compared to models trained using target data only, source data only, and all data without accounting for population-level differences, FETA shows superior predictive performance. FETA has the potential to improve estimation and prediction accuracy in underrepresented populations and reduce the gap in model performance across populations.

少数民族和弱势群体在大规模临床和基因组学研究中的代表性有限,这对将精准医学研究转化为实践构成了重大障碍。由于人群间的异质性,预测模型在代表性不足的人群中很可能表现不佳,从而加剧已知的健康差异。为了解决这个问题,我们提出了一种双向数据整合方法 FETA,它利用联合迁移学习方法整合来自不同人群和多个医疗机构的异构数据,重点关注样本量有限的目标人群。我们的研究表明,FETA 的性能可与汇集分析相媲美,在汇集分析中,各机构共享个人层面的数据,而各参与机构之间只需进行少量沟通。我们的理论分析和模拟研究证明了 FETA 的估计准确性如何受到通信预算、隐私限制和不同人群异质性的影响。我们将 FETA 应用于电子病历和基因组学(eMERGE)网络的多站点数据,以构建极度肥胖的遗传风险预测模型。与仅使用目标数据、仅使用源数据和不考虑人群水平差异的所有数据训练的模型相比,FETA 显示出更优越的预测性能。FETA 有潜力提高对代表性不足人群的估计和预测准确性,并缩小不同人群之间模型性能的差距。
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引用次数: 0
ADDRESSING SELECTION BIAS AND MEASUREMENT ERROR IN COVID-19 CASE COUNT DATA USING AUXILIARY INFORMATION. 利用辅助信息解决 covid-19 病例计数数据中的选择偏差和测量误差。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1744
Walter Dempsey

Coronavirus case-count data has influenced government policies and drives most epidemiological forecasts. Limited testing is cited as the key driver behind minimal information on the COVID-19 pandemic. While expanded testing is laudable, measurement error and selection bias are the two greatest problems limiting our understanding of the COVID-19 pandemic; neither can be fully addressed by increased testing capacity. In this paper, we demonstrate their impact on estimation of point prevalence and the effective reproduction number. We show that estimates based on the millions of molecular tests in the US has the same mean square error as a small simple random sample. To address this, a procedure is presented that combines case-count data and random samples over time to estimate selection propensities based on key covariate information. We then combine these selection propensities with epidemiological forecast models to construct a doubly robust estimation method that accounts for both measurement-error and selection bias. This method is then applied to estimate Indiana's active infection prevalence using case-count, hospitalization, and death data with demographic information, a statewide random molecular sample collected from April 25-29th, and Delphi's COVID-19 Trends and Impact Survey. We end with a series of recommendations based on the proposed methodology.

冠状病毒病例计数数据影响着政府政策,并推动着大多数流行病学预测。有限的检测被认为是 COVID-19 大流行信息极少的主要原因。尽管扩大检测范围值得称赞,但测量误差和选择偏差是限制我们了解 COVID-19 大流行的两个最大问题;提高检测能力无法完全解决这两个问题。在本文中,我们展示了这两个问题对点流行率和有效繁殖数估算的影响。我们表明,根据美国数百万次分子检测得出的估计值与少量简单随机抽样得出的估计值具有相同的均方误差。为了解决这个问题,我们介绍了一种程序,该程序结合了病例计数数据和随时间变化的随机样本,根据关键协变量信息估算出选择倾向。然后,我们将这些选择倾向与流行病学预测模型相结合,构建出一种双重稳健的估算方法,既能考虑测量误差,又能考虑选择偏差。然后,利用病例计数、住院和死亡数据以及人口统计信息、4 月 25-29 日收集的全州随机分子样本和德尔菲 COVID-19 趋势和影响调查,将该方法用于估算印第安纳州的活动性感染流行率。最后,我们将根据建议的方法提出一系列建议。
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引用次数: 0
GENERALIZED MATRIX DECOMPOSITION REGRESSION: ESTIMATION AND INFERENCE FOR TWO-WAY STRUCTURED DATA. 广义矩阵分解回归:双向结构化数据的估计和推断。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1746
Yue Wang, Ali Shojaie, Timothy Randolph, Parker Knight, Jing Ma

Motivated by emerging applications in ecology, microbiology, and neuroscience, this paper studies high-dimensional regression with two-way structured data. To estimate the high-dimensional coefficient vector, we propose the generalized matrix decomposition regression (GMDR) to efficiently leverage auxiliary information on row and column structures. GMDR extends the principal component regression (PCR) to two-way structured data, but unlike PCR, GMDR selects the components that are most predictive of the outcome, leading to more accurate prediction. For inference on regression coefficients of individual variables, we propose the generalized matrix decomposition inference (GMDI), a general high-dimensional inferential framework for a large family of estimators that include the proposed GMDR estimator. GMDI provides more flexibility for incorporating relevant auxiliary row and column structures. As a result, GMDI does not require the true regression coefficients to be sparse, but constrains the coordinate system representing the regression coefficients according to the column structure. GMDI also allows dependent and heteroscedastic observations. We study the theoretical properties of GMDI in terms of both the type-I error rate and power and demonstrate the effectiveness of GMDR and GMDI in simulation studies and an application to human microbiome data.

受生态学、微生物学和神经科学新兴应用的启发,本文研究了双向结构数据的高维回归。为了估计高维系数向量,我们提出了广义矩阵分解回归(GMDR),以有效利用行列结构的辅助信息。GMDR 将主成分回归(PCR)扩展到了双向结构数据,但与 PCR 不同的是,GMDR 会选择对结果最具预测性的成分,从而实现更准确的预测。为了推断单个变量的回归系数,我们提出了广义矩阵分解推断法(GMDI),这是一种通用的高维推断框架,适用于包括所提出的 GMDR 估计器在内的一大系列估计器。GMDI 提供了更大的灵活性,可纳入相关的辅助行列结构。因此,GMDI 并不要求真正的回归系数是稀疏的,而是根据列结构来约束代表回归系数的坐标系。GMDI 还允许依赖和异方差观测。我们研究了 GMDI 在 I 类错误率和功率方面的理论特性,并在模拟研究和人类微生物组数据应用中证明了 GMDR 和 GMDI 的有效性。
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引用次数: 0
A DYNAMIC ADDITIVE AND MULTIPLICATIVE EFFECTS NETWORK MODEL WITH APPLICATION TO THE UNITED NATIONS VOTING BEHAVIORS. 将动态加乘效应网络模型应用于联合国投票行为。
IF 1.8 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1762
Bomin Kim, Xiaoyue Niu, David Hunter, Xun CaO

Motivated by a study of United Nations voting behaviors, we introduce a regression model for a series of networks that are correlated over time. Our model is a dynamic extension of the additive and multiplicative effects network model (AMEN) of Hoff (2021). In addition to incorporating a temporal structure, the model accommodates two types of missing data thus allows the size of the network to vary over time. We demonstrate via simulations the necessity of various components of the model. We apply the model to the United Nations General Assembly voting data from 1983 to 2014 (Voeten, 2013) to answer interesting research questions regarding international voting behaviors. In addition to finding important factors that could explain the voting behaviors, the model-estimated additive effects, multiplicative effects, and their movements reveal meaningful foreign policy positions and alliances of various countries.

受联合国投票行为研究的启发,我们为一系列随时间相关的网络引入了一个回归模型。我们的模型是对 Hoff(2021 年)的加法和乘法效应网络模型(AMEN)的动态扩展。除了包含时间结构外,该模型还容纳了两种类型的缺失数据,从而允许网络规模随时间变化。我们通过模拟演示了模型各组成部分的必要性。我们将该模型应用于 1983 年至 2014 年的联合国大会投票数据(Voeten,2013 年),以回答有关国际投票行为的有趣研究问题。除了发现可以解释投票行为的重要因素外,模型估计的加法效应、乘法效应及其变动揭示了各国有意义的外交政策立场和联盟。
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引用次数: 0
Debiased lasso for stratified Cox models with application to the national kidney transplant data. 分层 Cox 模型的去偏套索,并应用于全国肾移植数据。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1775
Lu Xia, Bin Nan, Yi Li

The Scientific Registry of Transplant Recipients (SRTR) system has become a rich resource for understanding the complex mechanisms of graft failure after kidney transplant, a crucial step for allocating organs effectively and implementing appropriate care. As transplant centers that treated patients might strongly confound graft failures, Cox models stratified by centers can eliminate their confounding effects. Also, since recipient age is a proven non-modifiable risk factor, a common practice is to fit models separately by recipient age groups. The moderate sample sizes, relative to the number of covariates, in some age groups may lead to biased maximum stratified partial likelihood estimates and unreliable confidence intervals even when samples still outnumber covariates. To draw reliable inference on a comprehensive list of risk factors measured from both donors and recipients in SRTR, we propose a de-biased lasso approach via quadratic programming for fitting stratified Cox models. We establish asymptotic properties and verify via simulations that our method produces consistent estimates and confidence intervals with nominal coverage probabilities. Accounting for nearly 100 confounders in SRTR, the de-biased method detects that the graft failure hazard nonlinearly increases with donor's age among all recipient age groups, and that organs from older donors more adversely impact the younger recipients. Our method also delineates the associations between graft failure and many risk factors such as recipients' primary diagnoses (e.g. polycystic disease, glomerular disease, and diabetes) and donor-recipient mismatches for human leukocyte antigen loci across recipient age groups. These results may inform the refinement of donor-recipient matching criteria for stakeholders.

移植受者科学登记(SRTR)系统已成为了解肾移植后移植物失败复杂机制的丰富资源,是有效分配器官和实施适当护理的关键一步。由于治疗患者的移植中心可能会对移植物失败造成很大的混淆,因此按中心分层的 Cox 模型可以消除其混淆效应。此外,由于受者年龄是一个已被证实的不可改变的风险因素,通常的做法是按受者年龄组别分别拟合模型。相对于协变量的数量而言,某些年龄组的样本量适中,这可能会导致最大分层偏似然估计值出现偏差,即使样本数量仍然多于协变量,置信区间也不可靠。为了可靠地推断 SRTR 中从供体和受体测得的综合风险因素列表,我们提出了一种通过二次编程拟合分层 Cox 模型的去偏 lasso 方法。我们建立了渐近特性,并通过模拟验证了我们的方法能产生具有名义覆盖概率的一致估计值和置信区间。考虑到 SRTR 中的近 100 个混杂因素,去偏倚方法发现,在所有受体年龄组中,移植物失败的危险随捐献者年龄的增加而非线性增加,而且年龄较大的捐献者的器官对年龄较小的受体的不利影响更大。我们的方法还划分了移植物失败与许多风险因素之间的关系,如受体的主要诊断(如多囊性疾病、肾小球疾病和糖尿病)以及不同受体年龄组的人类白细胞抗原位点的供体-受体不匹配。这些结果可为完善利益相关者的供体-受体匹配标准提供参考。
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引用次数: 0
BAYESIAN HIERARCHICAL MODELING AND ANALYSIS FOR ACTIGRAPH DATA FROM WEARABLE DEVICES. 对来自可穿戴设备的动作图数据进行贝叶斯分层建模和分析。
IF 1.8 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1742
Pierfrancesco Alaimo Di Loro, Marco Mingione, Jonah Lipsitt, Christina M Batteate, Michael Jerrett, Sudipto Banerjee

The majority of Americans fail to achieve recommended levels of physical activity, which leads to numerous preventable health problems such as diabetes, hypertension, and heart diseases. This has generated substantial interest in monitoring human activity to gear interventions toward environmental features that may relate to higher physical activity. Wearable devices, such as wrist-worn sensors that monitor gross motor activity (actigraph units) continuously record the activity levels of a subject, producing massive amounts of high-resolution measurements. Analyzing actigraph data needs to account for spatial and temporal information on trajectories or paths traversed by subjects wearing such devices. Inferential objectives include estimating a subject's physical activity levels along a given trajectory; identifying trajectories that are more likely to produce higher levels of physical activity for a given subject; and predicting expected levels of physical activity in any proposed new trajectory for a given set of health attributes. Here, we devise a Bayesian hierarchical modeling framework for spatial-temporal actigraphy data to deliver fully model-based inference on trajectories while accounting for subject-level health attributes and spatial-temporal dependencies. We undertake a comprehensive analysis of an original dataset from the Physical Activity through Sustainable Transport Approaches in Los Angeles (PASTA-LA) study to ascertain spatial zones and trajectories exhibiting significantly higher levels of physical activity while accounting for various sources of heterogeneity.

大多数美国人未能达到建议的体育锻炼水平,这导致了许多可预防的健康问题,如糖尿病、高血压和心脏病。这引起了人们对监测人类活动的极大兴趣,以便针对可能与提高身体活动有关的环境特征采取干预措施。可穿戴设备,如监测大运动量的腕戴式传感器(actigraph 装置),可持续记录受试者的活动水平,产生大量高分辨率测量数据。分析动图数据需要考虑佩戴此类设备的受试者所走过的轨迹或路径的空间和时间信息。推理目标包括估算受试者在给定轨迹上的体力活动水平;识别更有可能为受试者带来更高水平体力活动的轨迹;以及预测在任何建议的新轨迹上给定健康属性集的预期体力活动水平。在这里,我们为空间-时间动图数据设计了一个贝叶斯分层建模框架,以提供完全基于模型的轨迹推断,同时考虑到受试者的健康属性和空间-时间依赖性。我们对 "通过洛杉矶可持续交通方法开展体育活动"(PASTA-LA)研究的原始数据集进行了全面分析,以确定体育活动水平显著较高的空间区域和轨迹,同时考虑各种异质性来源。
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引用次数: 0
A DYNAMIC SPATIAL FILTERING APPROACH TO MITIGATE UNDERESTIMATION BIAS IN FIELD CALIBRATED LOW-COST SENSOR AIR POLLUTION DATA. 一种动态空间过滤方法,用于减轻现场校准的低成本传感器空气污染数据的低估偏差。
IF 1.3 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2023-12-01 Epub Date: 2023-10-30 DOI: 10.1214/23-aoas1751
Claire Heffernan, Roger PenG, Drew R Gentner, Kirsten Koehler, Abhirup Datta

Low-cost air pollution sensors, offering hyper-local characterization of pollutant concentrations, are becoming increasingly prevalent in environmental and public health research. However, low-cost air pollution data can be noisy, biased by environmental conditions, and usually need to be field-calibrated by collocating low-cost sensors with reference-grade instruments. We show, theoretically and empirically, that the common procedure of regression-based calibration using collocated data systematically underestimates high air pollution concentrations, which are critical to diagnose from a health perspective. Current calibration practices also often fail to utilize the spatial correlation in pollutant concentrations. We propose a novel spatial filtering approach to collocation-based calibration of low-cost networks that mitigates the underestimation issue by using an inverse regression. The inverse-regression also allows for incorporating spatial correlations by a second-stage model for the true pollutant concentrations using a conditional Gaussian Process. Our approach works with one or more collocated sites in the network and is dynamic, leveraging spatial correlation with the latest available reference data. Through extensive simulations, we demonstrate how the spatial filtering substantially improves estimation of pollutant concentrations, and measures peak concentrations with greater accuracy. We apply the methodology for calibration of a low-cost PM2.5 network in Baltimore, Maryland, and diagnose air pollution peaks that are missed by the regression-calibration.

低成本空气污染传感器可提供污染物浓度的超局部特征,在环境和公共卫生研究中越来越普遍。然而,低成本空气污染数据可能会受到环境条件的影响而产生噪声和偏差,通常需要通过将低成本传感器与参考级仪器搭配使用来进行现场校准。我们从理论和经验上证明,使用同位数据进行回归校准的常见程序会系统性地低估空气污染的高浓度,而从健康角度来看,高浓度是诊断空气污染的关键。目前的校准方法通常也无法利用污染物浓度的空间相关性。我们提出了一种新颖的空间过滤方法,通过使用反回归来减轻低估问题。反回归还允许通过使用条件高斯过程的真实污染物浓度第二阶段模型纳入空间相关性。我们的方法适用于网络中的一个或多个定位点,并且是动态的,充分利用了与最新参考数据的空间相关性。通过大量模拟,我们展示了空间过滤如何大幅提高污染物浓度的估计值,并以更高的精度测量峰值浓度。我们将该方法应用于校准马里兰州巴尔的摩市的低成本 PM2.5 网络,并诊断出回归校准所遗漏的空气污染峰值。
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