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Modeling tropical tuna shifts: An inflated power logit regression approach 热带金枪鱼转移建模:膨胀幂对数回归法
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-05-03 DOI: 10.1002/bimj.202300288
Francisco F. Queiroz, Silvia L. P. Ferrari

We introduce a new class of zero-or-one inflated power logit (IPL) regression models, which serve as a versatile tool for analyzing bounded continuous data with observations at a boundary. These models are applied to explore the effects of climate changes on the distribution of tropical tuna within the North Atlantic Ocean. Our findings suggest that our modeling approach is adequate and capable of handling the outliers in the data. It exhibited superior performance compared to rival models in both diagnostic analysis and regarding the inference robustness. We offer a user-friendly method for fitting IPL regression models in practical applications.

我们介绍了一类新的零或一膨胀幂对数(IPL)回归模型,它是分析有边界连续数据和边界观测数据的多功能工具。这些模型被用于探索气候变化对北大西洋热带金枪鱼分布的影响。研究结果表明,我们的建模方法足以处理数据中的异常值。在诊断分析和推断稳健性方面,它都表现出优于竞争对手模型的性能。我们为 IPL 回归模型在实际应用中的拟合提供了一种用户友好型方法。
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引用次数: 0
Recoverability and estimation of causal effects under typical multivariable missingness mechanisms 典型多变量缺失机制下因果效应的可恢复性和估计
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-18 DOI: 10.1002/bimj.202200326
Jiaxin Zhang, S. Ghazaleh Dashti, John B. Carlin, Katherine J. Lee, Margarita Moreno-Betancur

In the context of missing data, the identifiability or “recoverability” of the average causal effect (ACE) depends not only on the usual causal assumptions but also on missingness assumptions that can be depicted by adding variable-specific missingness indicators to causal diagrams, creating missingness directed acyclic graphs (m-DAGs). Previous research described canonical m-DAGs, representing typical multivariable missingness mechanisms in epidemiological studies, and examined mathematically the recoverability of the ACE in each case. However, this work assumed no effect modification and did not investigate methods for estimation across such scenarios. Here, we extend this research by determining the recoverability of the ACE in settings with effect modification and conducting a simulation study to evaluate the performance of widely used missing data methods when estimating the ACE using correctly specified g-computation. Methods assessed were complete case analysis (CCA) and various implementations of multiple imputation (MI) with varying degrees of compatibility with the outcome model used in g-computation. Simulations were based on an example from the Victorian Adolescent Health Cohort Study (VAHCS), where interest was in estimating the ACE of adolescent cannabis use on mental health in young adulthood. We found that the ACE is recoverable when no incomplete variable (exposure, outcome, or confounder) causes its own missingness, and nonrecoverable otherwise, in simplified versions of 10 canonical m-DAGs that excluded unmeasured common causes of missingness indicators. Despite this nonrecoverability, simulations showed that MI approaches that are compatible with the outcome model in g-computation may enable approximately unbiased estimation across all canonical m-DAGs considered, except when the outcome causes its own missingness or causes the missingness of a variable that causes its own missingness. In the latter settings, researchers may need to consider sensitivity analysis methods incorporating external information (e.g., delta-adjustment methods). The VAHCS case study illustrates the practical implications of these findings.

在数据缺失的情况下,平均因果效应(ACE)的可识别性或 "可恢复性 "不仅取决于通常的因果假设,还取决于缺失假设,缺失假设可以通过在因果图中添加特定变量的缺失指标来描述,从而创建缺失有向无环图(m-DAGs)。之前的研究描述了代表流行病学研究中典型多变量缺失机制的典型 m-DAG,并对每种情况下 ACE 的可恢复性进行了数学分析。但是,这项研究假设没有效应修正,也没有研究在这种情况下的估算方法。在此,我们扩展了这项研究,确定了在有效应修饰的情况下 ACE 的可恢复性,并进行了一项模拟研究,以评估广泛使用的缺失数据方法在使用正确指定的 g 计算估计 ACE 时的性能。评估的方法包括完整病例分析(CCA)和多重估算(MI)的各种实现方法,它们与 g 计算中使用的结果模型的兼容程度各不相同。模拟以维多利亚青少年健康队列研究(VAHCS)中的一个实例为基础,该研究的目的是估算青少年使用大麻对其成年后心理健康的影响。我们发现,在简化版的 10 个典型 m-DAG 中,如果没有不完整变量(暴露、结果或混杂因素)导致其自身的缺失,ACE 是可以恢复的,反之则不可恢复。尽管存在这种不可恢复性,但模拟结果表明,在 g 计算中与结果模型兼容的多元智能方法可以在所考虑的所有典型 m-DAG 中实现近似无偏估计,除非结果导致自身缺失或导致导致自身缺失的变量的缺失。在后一种情况下,研究人员可能需要考虑结合外部信息的敏感性分析方法(如三角调整方法)。VAHCS 案例研究说明了这些发现的实际意义。
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引用次数: 0
On repeated diagnostic testing in screening for a medical condition: How often should the diagnostic test be repeated? 关于在筛查某种疾病时重复诊断检测:诊断检测多久重复一次?
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-18 DOI: 10.1002/bimj.202300175
Patarawan Sangnawakij, Dankmar Böhning

In screening large populations a diagnostic test is frequently used repeatedly. An example is screening for bowel cancer using the fecal occult blood test (FOBT) on several occasions such as at 3 or 6 days. The question that is addressed here is how often should we repeat a diagnostic test when screening for a specific medical condition. Sensitivity is often used as a performance measure of a diagnostic test and is considered here for the individual application of the diagnostic test as well as for the overall screening procedure. The latter can involve an increasingly large number of repeated applications, but how many are sufficient? We demonstrate the issues involved in answering this question using real data on bowel cancer at St Vincents Hospital in Sydney. As data are only available for those testing positive at least once, an appropriate modeling technique is developed on the basis of the zero-truncated binomial distribution which allows for population heterogeneity. The latter is modeled using discrete nonparametric maximum likelihood. If we wish to achieve an overall sensitivity of 90%, the FOBT should be repeated for 2 weeks instead of the 1 week that was used at the time of the survey. A simulation study also shows consistency in the sense that bias and standard deviation for the estimated sensitivity decrease with an increasing number of repeated occasions as well as with increasing sample size.

在对大量人群进行筛查时,经常会重复使用诊断检测。例如,使用粪便隐血试验(FOBT)筛查肠癌,就需要在 3 天或 6 天内进行多次筛查。这里要讨论的问题是,在筛查特定疾病时,我们应该多长时间重复一次诊断检测。灵敏度通常用作诊断检测的性能指标,在这里既要考虑诊断检测的单项应用,也要考虑整体筛查程序。后者可能涉及越来越多的重复应用,但多少次才足够?我们利用悉尼圣文森特医院肠癌的真实数据来说明回答这个问题所涉及的问题。由于只能获得至少一次检测呈阳性者的数据,因此我们在零截断二项分布的基础上开发了一种适当的建模技术,以考虑人群异质性。后者采用离散非参数最大似然法建模。如果我们希望总体灵敏度达到 90%,就应在两周内重复进行肛门指诊,而不是调查时使用的一周。模拟研究还表明,随着重复次数的增加和样本量的增加,估计灵敏度的偏差和标准偏差也会减少,这一点具有一致性。
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引用次数: 0
Sharing information across patient subgroups to draw conclusions from sparse treatment networks 跨患者亚群共享信息,从稀疏的治疗网络中得出结论
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-18 DOI: 10.1002/bimj.202200316
Theodoros Evrenoglou, Silvia Metelli, Johannes-Schneider Thomas, Spyridon Siafis, Rebecca M. Turner, Stefan Leucht, Anna Chaimani

Network meta-analysis (NMA) usually provides estimates of the relative effects with the highest possible precision. However, sparse networks with few available studies and limited direct evidence can arise, threatening the robustness and reliability of NMA estimates. In these cases, the limited amount of available information can hamper the formal evaluation of the underlying NMA assumptions of transitivity and consistency. In addition, NMA estimates from sparse networks are expected to be imprecise and possibly biased as they rely on large-sample approximations that are invalid in the absence of sufficient data. We propose a Bayesian framework that allows sharing of information between two networks that pertain to different population subgroups. Specifically, we use the results from a subgroup with a lot of direct evidence (a dense network) to construct informative priors for the relative effects in the target subgroup (a sparse network). This is a two-stage approach where at the first stage, we extrapolate the results of the dense network to those expected from the sparse network. This takes place by using a modified hierarchical NMA model where we add a location parameter that shifts the distribution of the relative effects to make them applicable to the target population. At the second stage, these extrapolated results are used as prior information for the sparse network. We illustrate our approach through a motivating example of psychiatric patients. Our approach results in more precise and robust estimates of the relative effects and can adequately inform clinical practice in presence of sparse networks.

网络荟萃分析(NMA)通常能提供尽可能精确的相对效应估计值。然而,稀疏的网络中可用的研究很少,直接证据有限,这可能会威胁到 NMA 估计值的稳健性和可靠性。在这种情况下,有限的可用信息量可能会妨碍对 NMA 的基本假定--传递性和一致性--进行正式评估。此外,由于稀疏网络的近似值依赖于大样本近似值,而大样本近似值在缺乏足够数据的情况下是无效的,因此预计稀疏网络的 NMA 估计值不精确,并可能存在偏差。我们提出了一种贝叶斯框架,允许在两个涉及不同人群亚群的网络之间共享信息。具体来说,我们利用具有大量直接证据的子群(密集网络)的结果,为目标子群(稀疏网络)的相对效应构建信息先验。这是一种分两个阶段的方法,在第一阶段,我们将稠密网络的结果推断为稀疏网络的预期结果。这是通过使用改进的分层 NMA 模型来实现的,在该模型中,我们添加了一个位置参数,以改变相对效应的分布,使其适用于目标人群。在第二阶段,这些外推结果被用作稀疏网络的先验信息。我们以精神病患者为例说明我们的方法。我们的方法可以得到更精确、更稳健的相对效应估计值,并能在稀疏网络存在的情况下为临床实践提供充分的信息。
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引用次数: 0
An exhaustive ADDIS principle for online FWER control 在线 FWER 控制的详尽 ADDIS 原理
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-18 DOI: 10.1002/bimj.202300237
Lasse Fischer, Marta Bofill Roig, Werner Brannath

In this paper, we consider online multiple testing with familywise error rate (FWER) control, where the probability of committing at least one type I error will remain under control while testing a possibly infinite sequence of hypotheses over time. Currently, adaptive-discard (ADDIS) procedures seem to be the most promising online procedures with FWER control in terms of power. Now, our main contribution is a uniform improvement of the ADDIS principle and thus of all ADDIS procedures. This means, the methods we propose reject as least as much hypotheses as ADDIS procedures and in some cases even more, while maintaining FWER control. In addition, we show that there is no other FWER controlling procedure that enlarges the event of rejecting any hypothesis. Finally, we apply the new principle to derive uniform improvements of the ADDIS-Spending and ADDIS-Graph.

在本文中,我们考虑了具有族向误差率(FWER)控制的在线多重检验,即在一段时间内对可能是无限序列的假设进行检验时,犯至少一个 I 型错误的概率将保持在可控范围内。目前,自适应丢弃(ADDIS)程序似乎是在功率方面最有希望实现 FWER 控制的在线程序。现在,我们的主要贡献是统一改进了 ADDIS 原理,从而改进了所有 ADDIS 程序。这意味着,我们提出的方法在保持 FWER 控制的同时,拒绝的假设至少与 ADDIS 程序一样多,在某些情况下甚至更多。此外,我们还证明,没有任何其他 FWER 控制程序能扩大拒绝任何假设的概率。最后,我们应用新原理推导出 ADDIS-Spending 和 ADDIS-Graph 的统一改进。
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引用次数: 0
A novel nonparametric time-dependent precision–recall curve estimator for right-censored survival data 用于右删失生存数据的新型非参数时间相关精度-召回曲线估计器
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-18 DOI: 10.1002/bimj.202300135
Kassu Mehari Beyene, Ding-Geng Chen, Yehenew Getachew Kifle

In order to assess prognostic risk for individuals in precision health research, risk prediction models are increasingly used, in which statistical models are used to estimate the risk of future outcomes based on clinical and nonclinical characteristics. The predictive accuracy of a risk score must be assessed before it can be used in routine clinical decision making, where the receiver operator characteristic curves, precision–recall curves, and their corresponding area under the curves are commonly used metrics to evaluate the discriminatory ability of a continuous risk score. Among these the precision–recall curves have been shown to be more informative when dealing with unbalanced biomarker distribution between classes, which is common in rare event, even though except one, all existing methods are proposed for classic uncensored data. This paper is therefore to propose a novel nonparametric estimation approach for the time-dependent precision–recall curve and its associated area under the curve for right-censored data. A simulation is conducted to show the better finite sample property of the proposed estimator over the existing method and a real-world data from primary biliary cirrhosis trial is used to demonstrate the practical applicability of the proposed estimator.

在精准健康研究中,为了评估个体的预后风险,风险预测模型被越来越多地使用,其中统计模型被用来根据临床和非临床特征估计未来结果的风险。在将风险评分用于常规临床决策之前,必须对其预测准确性进行评估。接收者操作者特征曲线、精确度-召回曲线及其相应的曲线下面积是评估连续风险评分判别能力的常用指标。其中,精确度-召回曲线在处理类别间生物标记物分布不平衡(这在罕见事件中很常见)时被证明更有参考价值,尽管除一种方法外,现有的所有方法都是针对经典的无剪辑数据提出的。因此,本文提出了一种新的非参数估计方法,用于右删失数据的随时间变化的精确度-召回曲线及其相关的曲线下面积。本文进行了仿真,以显示与现有方法相比,本文提出的估计方法具有更好的有限样本特性,并使用原发性胆汁性肝硬化试验的实际数据来证明本文提出的估计方法的实际应用性。
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引用次数: 0
Sample size planning for rank-based multiple contrast tests 基于等级的多重对比测试的样本量规划
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-18 DOI: 10.1002/bimj.202300240
Anna Pöhlmann, Edgar Brunner, Frank Konietschke

Rank methods are well-established tools for comparing two or multiple (independent) groups. Statistical planning methods for the computing the required sample size(s) to detect a specific alternative with predefined power are lacking. In the present paper, we develop numerical algorithms for sample size planning of pseudo-rank-based multiple contrast tests. We discuss the treatment effects and different ways to approximate variance parameters within the estimation scheme. We further compare pairwise with global rank methods in detail. Extensive simulation studies show that the sample size estimators are accurate. A real data example illustrates the application of the methods.

等级法是比较两个或多个(独立)群体的成熟工具。目前还缺乏计算所需样本量的统计规划方法,以检测具有预定功率的特定替代方案。在本文中,我们为基于伪秩的多重对比检验的样本量规划开发了数字算法。我们讨论了处理效应以及在估计方案中近似方差参数的不同方法。我们进一步详细比较了成对秩方法和全局秩方法。大量的模拟研究表明,样本量估计值是准确的。一个真实数据示例说明了这些方法的应用。
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引用次数: 0
Mapping QTL controlling count traits with excess zeros and ones using a zero-and-one-inflated generalized Poisson regression model 利用零一膨胀广义泊松回归模型绘制控制具有过多零和一的计数性状的 QTL 图谱
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-14 DOI: 10.1002/bimj.202200342
Jinling Chi, Jimin Ye, Ying Zhou

The research on the quantitative trait locus (QTL) mapping of count data has aroused the wide attention of researchers. There are frequent problems in applied research that limit the application of the conventional Poisson model in the analysis of count phenotypes, which include the overdispersion and excess zeros and ones. In this article, a novel model, that is, the zero-and-one-inflated generalized Poisson (ZOIGP) model, is proposed to deal with these problems. Based on the proposed model, a score test is performed for the inflation parameter, in which the ZOIGP model with a constant proportion of excess zeros and ones is compared with a standard generalized Poisson model. To illustrate the practicability of the ZOIGP model, we extend it to the QTL interval mapping application that underpins count phenotype with excess zeros and excess ones. The genetic effects are estimated utilizing the expectation–maximization algorithm embedded with the Newton–Raphson algorithm, and the genome-wide scan and likelihood ratio test is performed to map and test the potential QTLs. The statistical properties exhibited by the proposed method are investigated through simulation. Finally, a real data analysis example is used to illustrate the utility of the proposed method for QTL mapping.

计数数据的数量性状基因座(QTL)图谱研究引起了研究人员的广泛关注。应用研究中经常出现的问题限制了传统泊松模型在计数表型分析中的应用,这些问题包括过度分散和过多的零和一。本文提出了一种新型模型,即零一膨胀广义泊松模型(ZOIGP)来解决这些问题。根据所提出的模型,对膨胀参数进行了评分测试,其中将具有恒定比例的多余零和一的 ZOIGP 模型与标准广义泊松模型进行了比较。为了说明 ZOIGP 模型的实用性,我们将其扩展到 QTL 区间作图应用中,该应用支持带有过量 0 和过量 1 的计数表型。遗传效应是利用嵌入牛顿-拉斐森(Newton-Raphson)算法的期望最大化算法估算的,并通过全基因组扫描和似然比检验来绘制和检验潜在的 QTL。通过模拟研究了所提方法的统计特性。最后,通过一个实际数据分析实例说明了所提方法在 QTL 图谱绘制中的实用性。
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引用次数: 0
Bootstrap tests for simultaneous monotone ordering of effects in a two-way ANOVA 双向方差分析中效应同时单调排序的 Bootstrap 检验
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-05 DOI: 10.1002/bimj.202300238
Raju Dey, Anjana Mondal, Somesh Kumar

In a two-way additive analysis of variance (ANOVA) model, we consider the problem of testing for homogeneity of both row and column effects against their simultaneous ordering. The error variances are assumed to be heterogeneous with unbalanced samples in each cell. Two simultaneous test procedures are developed—the first one using the likelihood ratio test (LRT) statistics of two independent hypotheses and another based on the consecutive pairwise differences of estimators of effects. The parametric bootstrap (PB) approach is used to find critical points of both the tests and the asymptotic accuracy of the bootstrap is established. An extensive simulation study shows that the proposed tests achieve the nominal size and have very good power performance. The robustness of the tests is also analyzed under deviation from normality. An “R” package is developed and shared on “GitHub” for ease of implementation of users. The proposed tests are illustrated using a real data set on the mortality due to alcoholic liver disease and it is shown that age and gender have a significant impact on the increasing incidence of mortality.

在双向加性方差分析(ANOVA)模型中,我们要考虑行列效应的同质性检验问题。假定误差方差是异质的,每个单元中的样本是不平衡的。我们开发了两种同步检验程序--第一种使用两个独立假设的似然比检验(LRT)统计量,另一种基于效应估计值的连续成对差异。使用参数自举(PB)方法找到了两个检验的临界点,并确定了自举的渐近准确性。广泛的模拟研究表明,所提出的检验达到了标称规模,并具有非常好的功率性能。此外,还分析了检验在偏离正态情况下的稳健性。为了便于用户实施,我们开发了一个 "R "软件包,并在 "GitHub "上共享。使用酒精性肝病死亡率的真实数据集对所提出的检验进行了说明,结果表明年龄和性别对死亡率的增加有显著影响。
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引用次数: 0
Beta spending function based on conditional power in group sequential design 基于分组顺序设计中条件功率的贝塔支出函数
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-05 DOI: 10.1002/bimj.202300094
Senmiao Ni, Zihang Zhong, Zhiwei Jiang, Yang Zhao, Jingwei Wu, Hao Yu, Jianling Bai

Conditional power (CP) serves as a widely utilized approach for futility monitoring in group sequential designs. However, adopting the CP methods may lead to inadequate control of the type II error rate at the desired level. In this study, we introduce a flexible beta spending function tailored to regulate the type II error rate while employing CP based on a predetermined standardized effect size for futility monitoring (a so-called CP-beta spending function). This function delineates the expenditure of type II error rate across the entirety of the trial. Unlike other existing beta spending functions, the CP-beta spending function seamlessly incorporates beta spending concept into the CP framework, facilitating precise stagewise control of the type II error rate during futility monitoring. In addition, the stopping boundaries derived from the CP-beta spending function can be calculated via integration akin to other traditional beta spending function methods. Furthermore, the proposed CP-beta spending function accommodates various thresholds on the CP-scale at different stages of the trial, ensuring its adaptability across different information time scenarios. These attributes render the CP-beta spending function competitive among other forms of beta spending functions, making it applicable to any trials in group sequential designs with straightforward implementation. Both simulation study and example from an acute ischemic stroke trial demonstrate that the proposed method accurately captures expected power, even when the initially determined sample size does not consider futility stopping, and exhibits a good performance in maintaining overall type I error rates for evident futility.

条件幂(CP)是一种在分组序列设计中广泛使用的无效监测方法。然而,采用 CP 方法可能会导致无法将 II 型误差率控制在理想水平。在本研究中,我们引入了一种灵活的贝塔支出函数(CP-beta 支出函数),该函数根据预定的标准化效应大小,在采用 CP 进行无效性监测的同时调节 II 型误差率。该函数划定了整个试验过程中 II 型误差率的支出。与其他现有的贝塔支出函数不同,CP-贝塔支出函数将贝塔支出概念无缝融入 CP 框架,有助于在无效性监测过程中精确控制 II 型误差率。此外,CP-贝塔支出函数衍生出的停止边界可以通过与其他传统贝塔支出函数方法类似的积分来计算。此外,所提出的 CP-beta 支出函数还能在试验的不同阶段适应 CP 尺度上的各种阈值,确保其在不同信息时间情景下的适应性。这些特性使 CP-贝塔支出函数在其他形式的贝塔支出函数中具有竞争力,使其适用于任何分组顺序设计的试验,并可直接实施。一项模拟研究和一个急性缺血性中风试验的例子都表明,即使在最初确定的样本量没有考虑无效停止的情况下,所提出的方法也能准确地捕捉到预期功率,并在保持明显无效的总体 I 类错误率方面表现出良好的性能。
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引用次数: 0
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