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Bayesian variable selection for logistic regression with a differentially misclassified binary covariate. 歧义错分类二元协变量逻辑回归的贝叶斯变量选择。
IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2025-05-05 DOI: 10.1080/03610918.2025.2496305
Daniel P Beavers, Yutong Li, James D Stamey, Stephanie Powers, Walter T Ambrosius

A Bayesian approach for variable selection is developed for use in models with a misclassified binary predictor variable. We define the main outcome model containing the latent predictor, the measurement model associated with the prevalence of the predictor, and the sensitivity and specificity models of the fallible classifier conditioned on the true value of the predictor. We use binary indicator variables to execute the Gibbs sampler-based variable selection process, and we identify the highest posterior probability model given the data. We demonstrate the performance of the procedure in several simulation studies, and we utilize the selection method to optimize model performance in two datasets.

一种贝叶斯方法的变量选择是开发用于模型与一个错误分类的二元预测变量。我们定义了包含潜在预测因子的主要结果模型,与预测因子的流行率相关的测量模型,以及以预测因子的真实值为条件的可错分类器的敏感性和特异性模型。我们使用二元指标变量来执行基于吉布斯样本的变量选择过程,并确定给定数据的最高后验概率模型。我们在几个仿真研究中证明了该过程的性能,并利用选择方法在两个数据集上优化模型性能。
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引用次数: 0
Statistical methods for assessing treatment effects on ordinal outcomes using observational data. 使用观察数据评估治疗效果对有序结果的统计方法。
IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2025-04-14 DOI: 10.1080/03610918.2025.2488945
Huirong Hu, Qi Zheng, Maiying Kong

In this article, we propose a marginal structural ordinal logistic regression model (MS-OLRM) to assess treatment effects on ordinal outcomes. Many statistical methods have been developed to estimate average treatment effect (ATE) when the outcome is continuous or binary. The methodology for assessing the effect of treatment for an ordinal outcome is less studied. To address this, we propose utilizing a superiority score as a measure of treatment effect, assessing whether the outcome under treatment is stochastically larger than the outcome under control. Our approach involves employing MS-OLRM in conjunction with Inverse Probability of Treatment Weighting (IPTW) to estimate the superiority score under treatment compared to the control. This methodology adjusts for confounding factors between treatment and outcome by utilizing IPTW, ensuring that all covariates are balanced among different treatment groups in the weighted sample. To assess the performance of the proposed method, we conduct extensive simulation studies. Finally, we apply the developed method to assess the treatment effects of medications and behavioral therapies on patients' recovery from alcohol use disorders using the Kentucky Medicaid 2012-2019 database.

在本文中,我们提出了一个边际结构有序逻辑回归模型(MS-OLRM)来评估治疗效果对有序结局的影响。当结果是连续的或二元的时,已经发展了许多统计方法来估计平均治疗效果(ATE)。评估治疗对正常结果的影响的方法学研究较少。为了解决这个问题,我们建议使用优势评分作为治疗效果的衡量标准,评估治疗下的结果是否随机大于控制下的结果。我们的方法包括使用MS-OLRM结合治疗加权逆概率(IPTW)来估计治疗下与对照组相比的优势得分。该方法通过利用IPTW调整治疗和结果之间的混杂因素,确保加权样本中不同治疗组之间的所有协变量平衡。为了评估所提出的方法的性能,我们进行了广泛的仿真研究。最后,我们使用肯塔基州医疗补助2012-2019数据库,应用开发的方法评估药物和行为疗法对酒精使用障碍患者康复的治疗效果。
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引用次数: 0
Sampling Spiked Wishart Eigenvalues. 抽样尖刺Wishart特征值。
IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2025-04-10 DOI: 10.1080/03610918.2025.2490204
Thomas G Brooks

Efficient schemes for sampling from the eigenvalues of the Wishart distribution have recently been described for both the standard Wishart case (where the covariance matrix is the identity) and the spiked Wishart with a single spike (where the covariance matrix differs from the identity in a single entry on the diagonal). Here, we generalize these schemes to the spiked Wishart with an arbitrary number of spikes. This approach also applies to the spiked pseudo-Wishart distribution. We describe how to differentiate this procedure for the purposes of stochastic gradient descent, allowing the fitting of the eigenvalue distribution to some target distribution.

最近已经描述了从Wishart分布的特征值中采样的有效方案,用于标准Wishart情况(其中协方差矩阵是单位)和带有单个尖峰的尖刺Wishart(其中协方差矩阵与对角线上的单个条目中的单位不同)。这里,我们将这些方案推广到具有任意数量尖峰的尖刺Wishart。这种方法也适用于尖刺伪wishart分布。我们描述了为了随机梯度下降的目的如何区分这个过程,允许特征值分布拟合到一些目标分布。
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引用次数: 0
Automated Parameter Selection in Singular Spectrum Analysis for Time Series Analysis. 时间序列分析中奇异谱分析参数的自动选择。
IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2025-01-28 DOI: 10.1080/03610918.2025.2456575
James J Yang, Anne Buu

In spite of wide applications of the singular spectrum analysis (SSA) method, understanding how SSA reconstructs time series and eliminates noise remains challenging due to its complex process. This study provided a novel geometric perspective to elucidate the underlying mechanism of SSA. To address the key issue of conventional SSA that requires a fixed window length and a given threshold for determining the number of groups, we proposed a sequential reconstruction approach that averages reconstructed series from various window lengths with a stopping rule based on a symmetric test. Three main advantages of the proposed method were demonstrated by the simulations and real data analysis of 7-day heart rate data from an e-cigarette user: 1) requiring no prior knowledge of the window length or group number; 2) yielding smaller values of root mean square error (RMSE) than the conventional SSA; and 3) revealing both local features and sudden changes related to events of interest. While conventional SSA excels in extracting stable signal structures, the proposed method is tailored for time series with varying structures such as heart rate data from smartwatches, and thus will have even wider applications.

尽管奇异谱分析(SSA)方法得到了广泛的应用,但由于其复杂的过程,理解SSA如何重建时间序列并消除噪声仍然是一个挑战。本研究提供了一个新的几何视角来阐明SSA的潜在机制。为了解决传统SSA需要固定窗口长度和给定阈值来确定组数的关键问题,我们提出了一种顺序重构方法,该方法使用基于对称测试的停止规则对不同窗口长度的重构序列进行平均。通过对电子烟使用者7天心率数据的仿真和实际数据分析,证明了该方法的三个主要优点:1)不需要事先知道窗口长度或组号;2)产生的均方根误差(RMSE)值小于常规SSA;3)揭示局部特征和与感兴趣的事件相关的突然变化。虽然传统的SSA在提取稳定的信号结构方面表现出色,但该方法适合于具有不同结构的时间序列,例如智能手表的心率数据,因此将具有更广泛的应用。
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引用次数: 0
Adjusted curves for clustered survival and competing risks data. 聚类生存和竞争风险数据的调整曲线。
IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2025-01-01 Epub Date: 2023-08-16 DOI: 10.1080/03610918.2023.2245583
Manoj Khanal, Soyoung Kim, Kwang Woo Ahn

Observational studies with right-censored data often have clustered data due to matched pairs or a study center effect. In such data, there may be an imbalance in patient characteristics between treatment groups, where Kaplan-Meier curves or unadjusted cumulative incidence curves can be misleading and may not represent the average patient on a given treatment arm. Adjusted curves are desirable to appropriately display survival or cumulative incidence curves in this case. We propose methods for estimating the adjusted survival and cumulative incidence probabilities for clustered right-censored data. For the competing risks outcome, we allow both covariate-independent and covariate-dependent censoring. We develop an R package adjSURVCI to implement the proposed methods. It provides the estimates of adjusted survival and cumulative incidence probabilities along with their standard errors. Our simulation results show that the adjusted survival and cumulative incidence estimates of the proposed method are unbiased with approximate 95% coverage rates. We apply the proposed method to stem cell transplant data of leukemia patients.

使用右删节数据的观察性研究通常由于配对或研究中心效应而聚集数据。在这些数据中,治疗组之间的患者特征可能存在不平衡,Kaplan-Meier曲线或未调整的累积发病率曲线可能具有误导性,可能无法代表给定治疗组的平均患者。在这种情况下,需要调整曲线来适当地显示生存或累积发生率曲线。我们提出了估计聚类右截尾数据的调整生存率和累积发生率的方法。对于竞争风险结果,我们允许协变量独立和协变量相关的审查。我们开发了一个R包adjSURVCI来实现所提出的方法。它提供了调整后的生存率和累积发生率及其标准误差的估计。我们的模拟结果表明,所提出的方法的调整生存率和累积发病率估计是无偏的,覆盖率约为95%。我们将该方法应用于白血病患者的干细胞移植数据。
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引用次数: 0
BayCAR: A Bayesian based Covariate-Adaptive Randomization method for multi-arm trials. BayCAR:一种基于贝叶斯的多组试验协变量自适应随机化方法。
IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2024-12-23 DOI: 10.1080/03610918.2024.2443202
Shengping Yang, Jianrong Wu

Randomization is an essential component of a successful controlled clinical trial. Many randomization methods have been developed to balance the distributions of covariates across treatment arms to remove potential confounding effects. While the restricted randomization methods would not work well if the number of covariates is large, the theoretical base of the minimization methods needs more justifications. We propose a Bayesian covariate-adaptive randomization method that not only has meaningful interpretations on its adaptive randomization probability, but also achieves desirable marginal and overall balances for both categorical and continuous covariates, particularly when balancing a large number of covariates is necessary.

随机化是成功的对照临床试验的重要组成部分。许多随机化方法已被开发来平衡各治疗组间协变量的分布,以消除潜在的混杂效应。当协变量数量很大时,限制随机化方法不能很好地工作,最小化方法的理论基础需要更多的论证。我们提出了一种贝叶斯协变量自适应随机化方法,该方法不仅对其自适应随机化概率有意义的解释,而且对分类和连续协变量都能达到理想的边际和总体平衡,特别是在需要平衡大量协变量时。
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引用次数: 0
Bayes factors for longitudinal model assessment via power posteriors 通过功率后验评估纵向模型的贝叶斯系数
IF 0.9 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2024-09-16 DOI: 10.1080/03610918.2024.2399159
Gabriel Calvo, Carmen Armero, Luigi Spezia, Maria Grazia Pennino
Bayes factor, defined as the ratio of the marginal likelihood functions of two competing models, is the natural Bayesian procedure for model selection. Marginal likelihoods are usually computationa...
贝叶斯因子定义为两个竞争模型的边际似然函数之比,是贝叶斯模型选择的自然程序。边际似然通常是通过计算得到的。
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引用次数: 0
Joint modeling of mixed skewed longitudinal responses using convolution of normal and log-normal distributions: a Bayesian approach 利用正态分布和对数正态分布的卷积对混合倾斜纵向响应进行联合建模:一种贝叶斯方法
IF 0.9 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2024-09-16 DOI: 10.1080/03610918.2024.2401437
R. Malekpour, T. Baghfalaki, M. Ganjali, A. Pourdarvish
This paper investigates the joint modeling of mixed ordinal and continuous longitudinal responses using a random effects model and applying a conditional approach. For the ordinal responses, a late...
本文采用随机效应模型和条件方法,研究了混合序数和连续纵向响应的联合建模。对于顺序反应,一个晚期...
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引用次数: 0
Statistical models of ballot truncation in ranked choice elections 排序选择选举中选票截断的统计模型
IF 0.9 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2024-09-14 DOI: 10.1080/03610918.2024.2397032
Christina Hoffman, Jakini Auset Kauba, Julie C. Reidy, Thomas Weighill
We introduce and study two new statistical models of ballot truncation – the process wherein voters neglect to rank every candidate during ranked choice voting (RCV). These models allow the incorpo...
我们引入并研究了两种新的选票截断统计模型--在排序选择投票(RCV)过程中,选民会忽略对每个候选人的排序。这些模型允许在选票中加入...
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引用次数: 0
Memory-type time-between-events charts using nonhomogeneous Poisson process 使用非均质泊松过程的记忆型事件间时间图表
IF 0.9 4区 数学 Q3 STATISTICS & PROBABILITY Pub Date : 2024-09-13 DOI: 10.1080/03610918.2024.2401443
Sajid Ali
The traditional time-between-events (TBE) control charts are developed in non-adaptive fashion assuming the Poisson process, where the TBE follows the exponential distribution. However, in many sit...
传统的两次事件之间的时间(TBE)控制图是假定泊松过程(TBE 遵循指数分布)以非适应性方式开发的。然而,在许多情况下,TBE 的分布是不确定的。
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Communications in Statistics-Simulation and Computation
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