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Assessing the impact on quality of prediction and inference from balancing in multilevel logistic regression 评估多级逻辑回归中的平衡对预测和推断质量的影响
Pub Date : 2024-08-22 DOI: 10.1016/j.health.2024.100359
Carolina Gonzalez-Canas , Gustavo A. Valencia-Zapata , Ana Maria Estrada Gomez , Zachary Hass

The primary goal of this research is to examine the impact of balancing data on the prediction quality and inference in multilevel logistic regression models. Logistic regression is a valuable approach for modeling binary outcomes expected in health applications. The class imbalance problem, where one of the two outcome categories occurs much more often than the other, is common in healthcare data, such as when modeling the risk factors for rare diseases. The issue is particularly relevant for medical data that contains individual measurements and other data sources measured at a geographic region level, such as environmental risk factors. For this work, both prediction and model interpretation are of interest. A simulation model is proposed to test the impact of balancing strategies on the logistic multilevel model's parameter estimation, inference, and predictive performance. The simulated information emulates characteristics of a Gestational Diabetes Mellitus (GDM) dataset from Indiana's Medicaid program. Several datasets were simulated with varying levels of complexity, involving the balance of the outcome variable and predictors. These datasets exhibited high- or low-frequency occurrences in specific intersections of variables, often called ‘cells.’ The impact of the balancing strategies on prediction and inference was assessed using different techniques, such as the Equivalence (TOST) Test, power analysis, and predictive measures. To the best of our knowledge, this is the first research that explores the impact of using balanced samples on coefficient estimation and prediction measures when using logistic multilevel modeling, finding evidence about the benefits of using balanced samples in this context.

这项研究的主要目的是考察平衡数据对多层次逻辑回归模型的预测质量和推断的影响。逻辑回归是一种对健康应用中预期的二元结果进行建模的重要方法。类不平衡问题,即两个结果类别中的一个类别比另一个类别出现得更频繁,在医疗数据中很常见,例如在对罕见疾病的风险因素建模时。这个问题对于包含个人测量数据和其他在地理区域层面测量的数据源(如环境风险因素)的医疗数据尤为重要。在这项工作中,预测和模型解释都很重要。我们提出了一个仿真模型来测试平衡策略对逻辑多层次模型的参数估计、推理和预测性能的影响。模拟信息模仿了印第安纳州医疗补助计划中妊娠糖尿病(GDM)数据集的特征。模拟的几个数据集具有不同程度的复杂性,涉及结果变量和预测因子的平衡。这些数据集在变量的特定交叉点(通常称为 "单元")上显示出高频或低频的出现。平衡策略对预测和推理的影响通过不同的技术进行了评估,如等效性(TOST)测试、功率分析和预测措施。据我们所知,这是第一项探索在使用逻辑多层次建模时使用平衡样本对系数估计和预测指标的影响的研究,发现了在这种情况下使用平衡样本的好处。
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引用次数: 0
A comparative analysis of machine learning algorithms with tree-structured parzen estimator for liver disease prediction 机器学习算法与树状结构帕尔森估计器在肝病预测方面的比较分析
Pub Date : 2024-08-16 DOI: 10.1016/j.health.2024.100358
Rakibul Islam, Azrin Sultana, MD. Nuruzzaman Tuhin

The liver is one of the most essential organs in the body, which helps with metabolism and keeping the body healthy. Successful treatments and better patient outcomes depend on early and correct Liver Disease (LD) diagnosis and identification. This study proposes a system for predicting the LD by combining the techniques of Machine Learning (ML) algorithms that include the Decision Tree, Random Forest, Extra Tree Classifier (ETC), LightGBM, and Adaboost, with the Tree-Structured Parzen Estimator (TPE) method for hyperparameter tuning. No previous literature research has utilized ML algorithms with TPE to predict LD. For this research, the Indian Liver Patients’ Dataset with 583 instances and 11 attributes was used. In the pre-processing of the data, techniques such as upsampling have been utilized to address the class imbalance problem. Normalization has been employed to scale the dataset, and feature selection has been applied to choose important features. The proposed model has been analyzed and compared using a 10-fold cross-validation process, with various evaluation metrics including accuracy, precision, recall, and F1-score. The model proposed in this study achieved the best level of accuracy while employing the ETC with the TPE approach, with a recorded accuracy of 95.8%.

肝脏是人体最重要的器官之一,有助于新陈代谢和保持身体健康。成功的治疗和更好的患者预后取决于早期正确的肝病(LD)诊断和识别。本研究提出了一种预测肝病的系统,它结合了机器学习(ML)算法技术,包括决策树、随机森林、额外树分类器(ETC)、LightGBM 和 Adaboost,以及用于超参数调整的树状结构帕尔森估计器(TPE)方法。以前的文献研究还没有利用带有 TPE 的多重L 算法来预测 LD。本研究使用了包含 583 个实例和 11 个属性的印度肝病患者数据集。在对数据进行预处理时,使用了上采样等技术来解决类不平衡问题。采用归一化技术对数据集进行缩放,并应用特征选择技术来选择重要特征。我们使用 10 倍交叉验证流程对所提出的模型进行了分析和比较,并使用了各种评价指标,包括准确率、精确度、召回率和 F1 分数。本研究提出的模型在采用 ETC 和 TPE 方法时达到了最佳准确度水平,准确率为 95.8%。
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引用次数: 0
A Malmquist fuzzy data envelopment analysis model for performance evaluation of rural healthcare systems 用于农村医疗系统绩效评估的马尔奎斯特模糊数据包络分析模型
Pub Date : 2024-08-08 DOI: 10.1016/j.health.2024.100357
Vishal Chaubey , Deena Sunil Sharanappa , Kshitish Kumar Mohanta , Rajkumar Verma

The primary purpose of this article is to measure the relative efficiency and productivity change over time in rural healthcare systems in the presence of fuzzy data. First, a novel ranking function based on the lower and upper bounds of alpha-cut of the trapezoidal fuzzy numbers (TrFNs) is proposed to compare the TrFNs. The suggested ranking technique is used to construct the fuzzy data envelopment analysis (FDEA), Malmquist fuzzy DEA (Mal-FDEA), and undesirable Malmquist fuzzy DEA (UN-Mal-FDEA ) models. The proposed models evaluate the efficiency and productivity of decision-making units (DMUs) when the input and output data are given in the form of TrFNs. In addition, a case study of the rural healthcare system in a developing country has been considered to demonstrate the applicability of the developed models. The work considers number of sub-centers (SCs), the number of primary health centers (PHCs), the number of community health centers (CHCs), nursing Staff at PHCs, an auxiliary nurse and midwives (ANM) at SCs, doctors at PHCs, pharmacists at PHCs, laboratory technicians at PHCs, radiographers at CHCs, and specialists at CHCs as input parameters and average population covered by CHCs, average village covered by CHCs, number of patients, and infant mortality rates as output parameters to analyze the performance of the rural healthcare systems. We show the UN-Mal-FDEA model has a higher production value than the Mal-FDEA model. The results of our proposed models enable us to recognize inefficiencies that states may rectify without compromising healthcare quality.

本文的主要目的是在模糊数据存在的情况下,衡量农村医疗系统的相对效率和生产率随时间的变化。首先,提出了一种基于梯形模糊数(TrFNs)α切的上下限的新型排序函数,用于比较梯形模糊数(TrFNs)。建议的排序技术被用于构建模糊数据包络分析(FDEA)、Malmquist 模糊 DEA(Mal-FDEA)和不理想 Malmquist 模糊 DEA(UN-Mal-FDEA)模型。当输入和输出数据以 TrFN 形式给出时,所提出的模型将评估决策单元(DMU)的效率和生产率。此外,还考虑了一个发展中国家农村医疗保健系统的案例研究,以证明所开发模型的适用性。在分析农村医疗保健系统的绩效时,我们以初级保健中心的护士和助产士(ANM)、初级保健中心的医生、初级保健中心的药剂师、初级保健中心的实验室技术人员、初级保健中心的放射技师和初级保健中心的专家作为输入参数,以初级保健中心覆盖的平均人口、初级保健中心覆盖的平均村庄、病人数量和婴儿死亡率作为输出参数。结果表明,UN-Mal-FDEA 模型比 Mal-FDEA 模型具有更高的生产价值。我们提出的模型结果使我们能够认识到各州可以在不影响医疗质量的情况下纠正的低效率问题。
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引用次数: 0
An optimal control model for monkeypox transmission dynamics with vaccination and immunity loss following recovery 猴痘传播动态的优化控制模型,包括疫苗接种和恢复后的免疫力丧失
Pub Date : 2024-07-10 DOI: 10.1016/j.health.2024.100355
O.A. Adepoju, H.O. Ibrahim

The viral illness known as monkeypox causes symptoms such a rash that can appear on the hands, feet, chest, face, and lips or near the genitalia. This study presents a mathematical model for the kinetics of monkeypox transmission with vaccination and immunity loss following recovery. The theories of positivity and boundedness are used to analyze the model’s well-posedness. The next generation matrix is used to determine the model’s basic reproduction number. The model’s equilibrium points are discovered. We demonstrate that the disease-free equilibrium was locally asymptotically stable. The center manifold theory is used to establish the bifurcation analysis. The impact of the parameters related to the fundamental reproduction number R0 is investigated using the normalized forward sensitivity index. In addition, the model is expanded to incorporate time-dependent management of preventing interaction with contaminated rodents, avoiding contact with contaminated people, wearing personal protective equipment, and reducing rodent populations by utilizing an integrated pest management strategy. The model’s qualitative analysis is supported by numerical simulation.

猴痘是一种病毒性疾病,患者会出现皮疹等症状,皮疹可出现在手、脚、胸部、面部、嘴唇或生殖器附近。本研究提出了猴痘在接种疫苗后传播和康复后免疫力丧失的动力学数学模型。正定和有界理论用于分析模型的拟合性。下一代矩阵用于确定模型的基本繁殖数。发现模型的平衡点。我们证明了无病平衡是局部渐近稳定的。中心流形理论用于建立分岔分析。利用归一化前向敏感性指数研究了与基本繁殖数 R0 有关的参数的影响。此外,还对模型进行了扩展,以纳入与时间相关的管理,包括防止与受污染的啮齿动物发生相互作用、避免与受污染的人接触、穿戴个人防护设备,以及利用害虫综合治理策略减少啮齿动物数量。该模型的定性分析得到了数值模拟的支持。
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引用次数: 0
A mixed integer linear programming model for quarantine-based home healthcare scheduling under uncertainty 不确定情况下基于检疫的家庭医疗保健调度的混合整数线性规划模型
Pub Date : 2024-07-02 DOI: 10.1016/j.health.2024.100356
Najmeh Nabavizadeh , Vahid Kayvanfar , Majid Rafiee

Home healthcare companies (HHC) have emerged as vital alternatives to traditional hospitals, particularly in meeting the healthcare needs of individuals within the comfort of their homes. The COVID-19 pandemic has amplified the significance of HHC services, offering a crucial alternative for patients and the elderly to follow quarantine protocols while receiving essential healthcare at home. Consequently, HHC companies must align their planning strategies with the World Health Organization (WHO) health guidelines. This research introduces a Mixed Integer Linear Programming (MILP) model tailored for home healthcare services during COVID-19, aiming to ensure strict adherence to quarantine protocols while enhancing service efficiency and quality. The proposed vehicle routing problem with pickup/delivery and time window formulation incorporates critical elements such as patient and caregiver classification, work and break regulations adherence, workload balancing, and multi-depot capabilities. The model addresses uncertain demand and service times through a stochastic programming approach to enhance practicality. K-means clustering is applied to streamline scenarios, with a sensitivity analysis determining the optimal number of clusters. Additionally, measures intrinsic to stochastic programming, such as the Expected Value of Perfect Information (EVPI) and Value of Stochastic Solution (VSS), are computed for comprehensive analysis.

家庭医疗保健公司(HHC)已成为传统医院的重要替代方案,尤其是在满足个人在家中舒适环境下的医疗保健需求方面。COVID-19 大流行凸显了家庭医疗保健服务的重要性,它为病人和老人提供了一个重要的替代方案,使他们在家中接受基本医疗保健的同时还能遵守隔离协议。因此,家庭保健公司必须将其规划战略与世界卫生组织(WHO)的健康指南保持一致。本研究针对 COVID-19 期间的居家医疗服务引入了混合整数线性规划(MILP)模型,旨在确保严格遵守检疫协议,同时提高服务效率和质量。所提出的车辆路由问题包括取货/送货和时间窗口表述,其中包含病人和护理人员分类、遵守工作和休息规定、工作量平衡和多地点能力等关键要素。该模型通过随机编程方法解决了不确定的需求和服务时间问题,从而提高了实用性。K-means 聚类法用于简化方案,并通过敏感性分析确定最佳聚类数量。此外,还计算了随机编程的固有指标,如完美信息预期值(EVPI)和随机解决方案值(VSS),以进行综合分析。
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引用次数: 0
Predictive interpretable analytics models for forecasting healthcare costs using open healthcare data 利用开放式医疗数据预测医疗成本的可解释分析模型
Pub Date : 2024-06-26 DOI: 10.1016/j.health.2024.100351
A. Ravishankar Rao , Raunak Jain , Mrityunjai Singh , Rahul Garg

Healthcare expenditure, a considerable proportion of national budgets, has risen rapidly. Consequently, considerable research is devoted to controlling healthcare costs. Many efforts are underway to improve medical price transparency. Price transparency will help patients become better informed, allowing them to shop for care they can afford, eventually leading to efficiency in healthcare markets. This first requires medical pricing data to be made available publicly. Since the raw pricing data can be large and cover multiple conditions, it is necessary to provide an engine to process the data to facilitate its usage and understanding. We recommend creating computational models that predict healthcare costs for various patient conditions and demographics. Patients and providers can interrogate the underlying data to understand the variation of healthcare costs concerning medical conditions and demographic variables of interest, including age. We demonstrate our approach by creating predictive models using recent machine learning techniques. We analyzed anonymous patient data from the New York State Statewide Planning and Research Cooperative System, consisting of 2.34 million records from 2019. We built models to predict costs from over two dozen patient variables, including diagnosis codes, severity of illness, age, and other demographic variables. We investigated three models: regression, decision trees, and random forests. These models are explainable. We analyzed features to determine those that were predictive of total costs. We determined that the diagnosis code, severity of illness, and length of stay were good predictors of total costs, whereas race and gender are not useful in predicting total costs. We obtained the best performance using a catboost regressor, which yielded an R2 score of 0.85, better than the values reported in the literature.

医疗保健支出在国家预算中占有相当大的比例,而且增长迅速。因此,很多研究都致力于控制医疗成本。为了提高医疗价格的透明度,很多人都在努力。价格透明将帮助患者更好地了解信息,使他们能够选择自己负担得起的医疗服务,最终提高医疗市场的效率。这首先需要公开医疗定价数据。由于原始定价数据可能非常庞大,而且涵盖多种疾病,因此有必要提供一个处理数据的引擎,以便于使用和理解这些数据。我们建议创建计算模型,预测不同病症和人口统计的医疗成本。患者和医疗服务提供者可以通过查询基础数据来了解医疗费用在病情和人口统计学变量(包括年龄)方面的变化。我们利用最新的机器学习技术创建了预测模型,展示了我们的方法。我们分析了来自纽约州全州规划与研究合作系统的匿名患者数据,其中包括 2019 年的 234 万条记录。我们根据二十多个患者变量(包括诊断代码、病情严重程度、年龄和其他人口统计学变量)建立了预测成本的模型。我们研究了三种模型:回归、决策树和随机森林。这些模型都是可以解释的。我们对特征进行了分析,以确定哪些特征可预测总费用。我们发现,诊断代码、病情严重程度和住院时间都能很好地预测总费用,而种族和性别则对预测总费用没有帮助。我们使用 catboost 回归器获得了最佳性能,其 R2 值为 0.85,优于文献报道的值。
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引用次数: 0
A comparative study of machine learning models with LASSO and SHAP feature selection for breast cancer prediction 采用 LASSO 和 SHAP 特征选择的机器学习模型在乳腺癌预测方面的比较研究
Pub Date : 2024-06-25 DOI: 10.1016/j.health.2024.100353
Md. Shazzad Hossain Shaon, Tasmin Karim, Md. Shahriar Shakil, Md. Zahid Hasan

In recent decades, breast cancer has become the most prevalent type of cancer that impacts women in the world, which shows a significant risk to the death rates of women. Early identification of breast cancer might drastically decrease patient mortality and greatly improve the chance of an effective treatment. In modern times, machine learning models have become crucial for classifying cancer and strengthening both the accuracy and efficiency of diagnostic and medical treatment strategies. Therefore, this study is focused on early detection of breast cancer using a variety of machine learning algorithms and desires to identify the most effective feature selection process with an amalgamated dataset. Initially, we evaluated five traditional models and two meta-models on separate datasets. To find the most valuable features, the study used the Least Absolute Shrinkage and Selection Operator (LASSO) as well as SHapley Additive exPlanations (SHAP) selection methods and analyzed them through a wide range of performance regulations. Additionally, we applied these models to the combined dataset and observed that the mergeddataset was significantly beneficial for breast cancer diagnosis. After analyzing the feature selection strategies, it was demonstrated that the majority of models performed more accurately when utilizing SHAP methodologies. Notably, three traditional models and two meta-classifiers obtained an accuracy of 99.82%, demonstrating superior performance compared to state-of-the-art methods. This advancement holds a crucial role as it lays the foundation for refining diagnostic tools and enhancing the progression of medical science in this field.

近几十年来,乳腺癌已成为影响全球妇女的最常见癌症类型,这对妇女的死亡率构成了重大风险。乳腺癌的早期识别可能会大大降低患者的死亡率,并大大提高有效治疗的机会。在现代,机器学习模型已成为癌症分类的关键,并能提高诊断和医疗策略的准确性和效率。因此,本研究的重点是利用各种机器学习算法对乳腺癌进行早期检测,并希望通过综合数据集找出最有效的特征选择过程。最初,我们在不同的数据集上评估了五个传统模型和两个元模型。为了找到最有价值的特征,研究使用了最小绝对收缩和选择操作符(LASSO)以及 SHapley Additive exPlanations(SHAP)选择方法,并通过一系列性能规定对它们进行了分析。此外,我们还将这些模型应用于合并数据集,并观察到合并数据集明显有利于乳腺癌诊断。在对特征选择策略进行分析后,我们发现大多数模型在使用 SHAP 方法时表现得更为准确。值得注意的是,三个传统模型和两个元分类器获得了 99.82% 的准确率,与最先进的方法相比,表现出了卓越的性能。这一进步为完善诊断工具和促进医学科学在这一领域的发展奠定了基础,具有至关重要的作用。
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引用次数: 0
An integrated location–allocation model for reducing disparities and increasing accessibility to public health screening centers 减少差异和提高公共卫生筛查中心可及性的综合位置分配模式
Pub Date : 2024-06-19 DOI: 10.1016/j.health.2024.100349
João Flávio de Freitas Almeida , Lásara Fabrícia Rodrigues , Luiz Ricardo Pinto , Francisco Carlos Cardoso de Campos

The tests for tracking diseases in newborns available through the National Neonatal Screening Program of the Brazilian Unified Health Care System cover six diseases. Mass spectrometer equipment is needed to expand and more efficiently and effectively detect new diseases. However, only four neonatal screening centers have the equipment capable of carrying out the extended test, and the expansion of health service capacity should consider both the rationalization of costs and the comprehensiveness and accessibility of care to the population. This study uses analytics to analyze and estimate the cost of centralized or distributed logistics networks and the level of service to perform the expanded test for newborns throughout Brazil. We evaluate the accessibility of the current infrastructure for the neonatal screening program and propose a novel location–allocation model to create a more integrated infrastructure for reducing disparities and increase the accessibility to neonatal screening services.

巴西统一医疗保健系统的国家新生儿筛查计划提供的新生儿疾病跟踪检测涵盖六种疾病。需要质谱仪设备来扩大检测范围,更高效、更有效地检测新的疾病。然而,目前只有四家新生儿筛查中心拥有能够进行扩展检测的设备,因此在扩大医疗服务能力时,既要考虑成本的合理化,也要考虑医疗服务的全面性和可及性。本研究利用分析方法分析并估算了集中式或分布式物流网络的成本,以及在巴西全国范围内为新生儿进行扩大检验的服务水平。我们评估了当前新生儿筛查计划基础设施的可及性,并提出了一个新颖的位置分配模式,以创建一个更加一体化的基础设施,从而减少差异并提高新生儿筛查服务的可及性。
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引用次数: 0
A comprehensive review of predictive analytics models for mental illness using machine learning algorithms 全面回顾使用机器学习算法的精神疾病预测分析模型
Pub Date : 2024-06-17 DOI: 10.1016/j.health.2024.100350
Md. Monirul Islam , Shahriar Hassan , Sharmin Akter , Ferdaus Anam Jibon , Md. Sahidullah

Our emotional, psychological, and social well-being are all parts of our mental health, influencing our thoughts, emotions, and behaviors. Mental health also influences how we respond to stress, interact with others, and make good or bad decisions. There has been growing interest in the use of machine learning for the early detection of mental illness. This study reviews the machine learning models, algorithms, and applications for the early detection of mental disease, particularly emphasizing the data modalities. We further propose a comprehensive methodology for assessing mental health that synergistically combines social media monitoring, data analytics from wearable devices, verbal polls, and individualized support. We provide an overview of the field’s current state, highlight the potential benefits and challenges of using machine learning in mental health care, and a new taxonomy of mental disorders issues based on five domains of data types. We review existing research on using machine learning to detect and treat mental illness and discuss the implications for future research. Finally, the value of this work lies in its potential to provide a fast and accurate method for predicting the mental health status of a person, which may assist in the diagnosis and treatment of mental illness.

我们的情绪、心理和社会福祉都是心理健康的组成部分,影响着我们的思想、情感和行为。心理健康也会影响我们如何应对压力、与他人互动以及做出正确或错误的决定。人们对使用机器学习来早期检测精神疾病的兴趣与日俱增。本研究回顾了用于早期检测精神疾病的机器学习模型、算法和应用,尤其强调了数据模式。我们进一步提出了一种评估心理健康的综合方法,该方法将社交媒体监测、可穿戴设备的数据分析、口头民意调查和个性化支持协同结合在一起。我们概述了该领域的现状,强调了在心理健康护理中使用机器学习的潜在益处和挑战,以及基于五个数据类型领域的精神障碍问题新分类法。我们回顾了利用机器学习检测和治疗精神疾病的现有研究,并讨论了未来研究的意义。最后,这项工作的价值在于它有可能提供一种快速准确的方法来预测一个人的精神健康状况,从而有助于精神疾病的诊断和治疗。
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引用次数: 0
A longitudinal mixed effects model for assessing mortality trends during vaccine rollout 用于评估疫苗推广期间死亡率趋势的纵向混合效应模型
Pub Date : 2024-06-13 DOI: 10.1016/j.health.2024.100347
Qin Shao , Mounika Polavarapu , Lafleur Small , Shipra Singh , Quoc Nguyen , Kevin Shao

The rapid spread of coronavirus disease 2019 (COVID-19) initially presented unprecedented challenges for clinicians, policymakers, and healthcare systems, as there was limited evidence on the efficacy of various control measures. This study endeavors to provide a detailed and comprehensive overview of the global progression of the COVID-19 mortality in the context of vaccine rollout, utilizing public surveillance data from 145 countries sourced from the World Health Organization and the World Bank. The primary focus is to analyze shifts in the trend of new COVID-19 mortality worldwide before and after the introduction of COVID-19 vaccines. To achieve this, we propose a longitudinal mixed effects model aimed at elucidating the relationship between mortality trend and vaccination rollout, alongside other pertinent covariates. Our modeling approach seeks to accommodate variations in the timing of COVID-19 vaccine rollout among countries, as well as the correlation of observations from within the same country. Our findings highlight the significant impact of new cases, cardiovascular death rate, senior population, stringency index, and reproduction rate on mortality. However, we find that the impact of vaccination is not statistically significant, as evidenced by a relatively large p-value. Furthermore, the study reveals substantial disparities in mortality rates among countries across four income groups.

冠状病毒病 2019(COVID-19)的迅速传播最初给临床医生、政策制定者和医疗保健系统带来了前所未有的挑战,因为各种控制措施的有效性证据有限。本研究试图利用世界卫生组织和世界银行提供的 145 个国家的公共监测数据,详细、全面地概述在疫苗推广背景下 COVID-19 死亡率的全球进展情况。主要重点是分析在引入 COVID-19 疫苗前后全球 COVID-19 新死亡率趋势的变化。为此,我们提出了一个纵向混合效应模型,旨在阐明死亡率趋势与疫苗接种推广以及其他相关协变量之间的关系。我们的建模方法力求适应各国 COVID-19 疫苗推广时间的差异,以及同一国家内观察结果的相关性。我们的研究结果凸显了新发病例、心血管病死亡率、老年人口、严格指数和繁殖率对死亡率的重要影响。然而,我们发现疫苗接种的影响在统计学上并不显著,相对较大的 p 值证明了这一点。此外,研究还揭示了四个收入组别国家之间死亡率的巨大差异。
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引用次数: 0
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Healthcare analytics (New York, N.Y.)
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