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A framework to select tuning parameters for nonparametric derivative estimation 为非参数导数估计选择调整参数的框架
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-05 DOI: 10.1002/bimj.202300039
Sisheng Liu, Xiaoli Kong

In this paper, we propose a general framework to select tuning parameters for the nonparametric derivative estimation. The new framework broadens the scope of the previously proposed generalized Cp$C_p$ criterion by replacing the empirical derivative with any other linear nonparametric smoother. We provide the theoretical support of the proposed derivative estimation in a random design and justify it through simulation studies. The practical application of the proposed framework is demonstrated in the study of the age effect on hippocampal gray matter volume in healthy adults from the IXI dataset and the study of the effect of age and body mass index on blood pressure from the Pima Indians dataset.

在本文中,我们提出了一个为非参数导数估计选择调整参数的通用框架。新框架扩大了之前提出的广义 C p $C_p$ 准则的范围,用任何其他线性非参数平滑器取代了经验导数。我们为随机设计中的导数估计提供了理论支持,并通过模拟研究证明了这一点。在研究 IXI 数据集对健康成年人海马灰质体积的年龄影响以及研究皮马印第安人数据集的年龄和体重指数对血压的影响时,证明了所提出框架的实际应用。
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引用次数: 0
Issue Information: Biometrical Journal 3'24 期刊信息:生物计量学杂志 3'24
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-04 DOI: 10.1002/bimj.202470003
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引用次数: 0
A Bayesian model-based reduced major axis regression 基于贝叶斯模型的还原主轴回归
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-04-04 DOI: 10.1002/bimj.202300279
Zhihua Ma, Ming-Hui Chen

Reduced major axis (RMA) regression, widely used in the fields of zoology, botany, ecology, biology, spectroscopy, and among others, outweighs the ordinary least square regression by relaxing the assumption that the covariates are without measurement errors. A Bayesian implementation of the RMA regression is presented in this paper, and the equivalence of the estimates of the parameters under the Bayesian and the frequentist frameworks is proved. This model-based Bayesian RMA method is advantageous since the posterior estimates, the standard deviations, as well as the credible intervals of the estimates can be obtained through Markov chain Monte Carlo methods directly. In addition, it is straightforward to extend to the multivariate RMA case. The performance of the Bayesian RMA approach is evaluated in the simulation study, and, finally, the proposed method is applied to analyze a dataset in the plantation.

还原主轴回归(RMA)被广泛应用于动物学、植物学、生态学、生物学、光谱学等领域,它通过放宽协变量无测量误差的假设而优于普通最小二乘法回归。本文介绍了 RMA 回归的贝叶斯实现方法,并证明了在贝叶斯框架和频繁主义框架下参数估计的等价性。这种基于模型的贝叶斯 RMA 方法的优势在于,可以直接通过马尔科夫链蒙特卡罗方法获得后验估计值、标准偏差以及估计值的可信区间。此外,它还可以直接扩展到多变量 RMA 情况。在模拟研究中对贝叶斯 RMA 方法的性能进行了评估,最后将提出的方法用于分析种植园中的数据集。
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引用次数: 0
Interpretability of bi-level variable selection methods 双层变量选择方法的可解释性
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-03-22 DOI: 10.1002/bimj.202300063
Gregor Buch, Andreas Schulz, Irene Schmidtmann, Konstantin Strauch, Philipp S. Wild

Variable selection is usually performed to increase interpretability, as sparser models are easier to understand than full models. However, a focus on sparsity is not always suitable, for example, when features are related due to contextual similarities or high correlations. Here, it may be more appropriate to identify groups and their predictive members, a task that can be accomplished with bi-level selection procedures. To investigate whether such techniques lead to increased interpretability, group exponential LASSO (GEL), sparse group LASSO (SGL), composite minimax concave penalty (cMCP), and least absolute shrinkage, and selection operator (LASSO) as reference methods were used to select predictors in time-to-event, regression, and classification tasks in bootstrap samples from a cohort of 1001 patients. Different groupings based on prior knowledge, correlation structure, and random assignment were compared in terms of selection relevance, group consistency, and collinearity tolerance. The results show that bi-level selection methods are superior to LASSO in all criteria. The cMCP demonstrated superiority in selection relevance, while SGL was convincing in group consistency. An all-round capacity was achieved by GEL: the approach jointly selected correlated and content-related predictors while maintaining high selection relevance. This method seems recommendable when variables are grouped, and interpretation is of primary interest.

进行变量选择通常是为了提高可解释性,因为稀疏模型比完整模型更容易理解。然而,关注稀疏性并不总是合适的,例如,当特征因上下文相似性或高度相关性而相关时。在这种情况下,识别群体及其预测成员可能更合适,这项任务可以通过双层选择程序来完成。为了研究这种技术是否能提高可解释性,我们使用了组指数 LASSO(GEL)、稀疏组 LASSO(SGL)、复合最小凹惩罚(cMCP)和最小绝对收缩和选择算子(LASSO)作为参考方法,在时间到事件、回归和分类任务中,从 1001 名患者的队列中的引导样本中选择预测因子。比较了基于先验知识、相关结构和随机分配的不同分组在选择相关性、分组一致性和共线性容忍度方面的差异。结果表明,双层选择方法在所有标准上都优于 LASSO。cMCP 在选择相关性方面表现出色,而 SGL 在组一致性方面令人信服。GEL 实现了全面的能力:该方法在保持高选择相关性的同时,联合选择了相关和内容相关的预测因子。在变量分组和解释是主要关注点的情况下,这种方法似乎值得推荐。
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引用次数: 0
Pairwise fitting of piecewise mixed models for the joint modeling of multivariate longitudinal outcomes, in a randomized crossover trial 在随机交叉试验中,成对拟合用于多变量纵向结果联合建模的分片混合模型。
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-03-18 DOI: 10.1002/bimj.202200333
Moses Mwangi, Geert Molenberghs, Edmund Njeru Njagi, Samuel Mwalili, Roel Braekers, Alvaro Jose Florez, Susan Gachau, Zipporah N. Bukania, Geert Verbeke

Many statistical models have been proposed in the literature for the analysis of longitudinal data. One may propose to model two or more correlated longitudinal processes simultaneously, with a goal of understanding their association over time. Joint modeling is then required to carefully study the association structure among the outcomes as well as drawing joint inferences about the different outcomes. In this study, we sought to model the associations among six nutrition outcomes while circumventing the computational challenge posed by their clustered and high-dimensional nature. We analyzed data from a 2 ×$times$ 2 randomized crossover trial conducted in Kenya, to compare the effect of high-dose and low-dose iodine in household salt on systolic blood pressure (SBP) and diastolic blood pressure (DBP) in women of reproductive age and their household matching pair of school-aged children. Two additional outcomes, namely, urinary iodine concentration (UIC) in women and children were measured repeatedly to monitor the amount of iodine excreted through urine. We extended the model proposed by Mwangi et al. (2021, Communications in Statistics: Case Studies, Data Analysis and Applications, 7(3), 413–431) allowing flexible piecewise joint models for six outcomes to depend on separate random effects, which are themselves correlated. This entailed fitting 15 bivariate general linear mixed models and deriving inference for the joint model using pseudo-likelihood theory. We analyzed the outcomes separately and jointly using piecewise linear mixed-effects (PLME) model and further validated the results using current state-of-the-art Jones and Kenward methodology (JKME model) used for analyzing randomized crossover trials. The results indicate that high-dose iodine in salt significantly reduced blood pressure (BP) compared to low-dose iodine in salt. Estimates for the random effects and residual error components showed that SBP and DBP had strong positive correlation, with effect of the random slope indicating that significantly related outcomes are strongly associated in their evolution. There was a moderately strong inverse relationship between evolutions of UIC and BP both in women and children. These findings confirmed the original hypothesis that high-dose iodine salt has significant lowering effect on BP. We further sought to evaluate the performance of our proposed PLME model against the widely used JKME model, within the multivariate joint modeling framework through a simulation study mimicking a 2×2$2times 2$ crossover design. From our findings, the multivariate joint PLME model p

文献中提出了许多用于分析纵向数据的统计模型。有人可能会建议同时对两个或多个相关的纵向过程进行建模,目的是了解它们随着时间的推移而产生的关联。这就需要建立联合模型,以仔细研究结果之间的关联结构,并对不同结果进行联合推断。在本研究中,我们试图对六种营养结果之间的关联进行建模,同时规避它们的聚类和高维性质所带来的计算挑战。我们分析了在肯尼亚进行的一项 2 × $times$ 2 随机交叉试验的数据,以比较家庭食盐中高剂量和低剂量碘对育龄妇女及其匹配的一对学龄儿童收缩压(SBP)和舒张压(DBP)的影响。此外,我们还反复测量了妇女和儿童的尿碘浓度(UIC),以监测通过尿液排出的碘量。我们扩展了 Mwangi 等人提出的模型(2021 年,《统计通讯》,案例研究、数据分析和应用,第 2 卷,第 3 期):案例研究、数据分析和应用》,7(3),413-431)提出的模型进行了扩展,使六个结果的灵活片断联合模型取决于单独的随机效应,而这些随机效应本身又是相关的。这需要拟合 15 个二元一般线性混合模型,并利用伪似然理论推导出联合模型。我们使用分片线性混合效应(PLME)模型对结果进行了单独和联合分析,并使用目前用于分析随机交叉试验的最先进的琼斯和肯沃德方法(JKME 模型)对结果进行了进一步验证。结果表明,与低剂量碘盐相比,高剂量碘盐能显著降低血压(BP)。随机效应和残差误差成分的估计结果显示,SBP 和 DBP 具有很强的正相关性,随机斜率效应表明,显著相关的结果在其演变过程中具有很强的相关性。在妇女和儿童中,UIC 和血压的演变之间存在中等程度的反向关系。这些发现证实了最初的假设,即高剂量碘盐具有明显降低血压的作用。在多变量联合建模框架下,我们通过模拟 2 × 2 2 次交叉设计的模拟研究,进一步评估了我们提出的 PLME 模型与广泛使用的 JKME 模型的性能。从我们的研究结果来看,多变量联合 PLME 模型在估计随机效应矩阵(G)和赫赛矩阵(H)方面都表现出色,在估计过程中模型收敛性令人满意。与只允许随机截距的多变量联合 JKME 模型相比,该模型能更复杂地拟合数据,同时具有随机截距和斜率效应。如果采用分层的观点,即结果是以随机效应为条件指定的,那么随机效应的方差-协方差矩阵必须是正定的。在某些情况下,额外的随机效应可以解释数据中的许多变异,从而提高估计值(效应大小)参数估计的精度。本次评估的主要亮点表明,多变量联合 JKME 模型是一种功能强大的工具,尤其是在交叉设计环境下,仅用随机截距拟合混合模型时。在大多数情况下,加入随机斜率可能会导致模型复杂化,从而导致估计过程中模型收敛性不理想。为了避免收敛性缺陷,将 JKME 模型扩展为 PLME 模型可以更灵活地拟合数据(由交叉设计设置生成),尤其是在多元联合建模框架中。
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引用次数: 0
Explained variation and degrees of necessity and of sufficiency for competing risks survival data 竞争风险生存数据的解释变异及必要性和充分性程度。
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-02-26 DOI: 10.1002/bimj.202300140
Andreas Gleiss, Michael Gnant, Michael Schemper

In this contribution, the Schemper–Henderson measure of explained variation for survival outcomes is extended to accommodate competing events (CEs) in addition to events of interest. The extension is achieved by moving from the unconditional and conditional survival functions of the original measure to unconditional and conditional cumulative incidence functions, the latter obtained, for example, from Fine and Gray models. In the absence of CEs, the original measure is obtained as a special case. We define explained variation on the population level and provide two different types of estimates. Recently, the authors have achieved a multiplicative decomposition of explained variation into degrees of necessity and degrees of sufficiency. These measures are also extended to the case of competing risks survival data. A SAS macro and an R function are provided to facilitate application. Interesting empirical properties of the measures are explored on the population level and by an extensive simulation study. Advantages of the approach are exemplified by an Austrian study of breast cancer with a high proportion of CEs.

在这篇论文中,Schemper-Henderson 生存结果解释变异度量方法得到了扩展,除感兴趣的事件外,还包括竞争事件 (CE)。这一扩展是通过将原始测量的无条件和有条件生存函数转换为无条件和有条件累积发病率函数来实现的,例如,后者是从 Fine 和 Gray 模型中获得的。在没有 CE 的情况下,原始测量结果是作为一种特例得到的。我们定义了人口层面的解释变异,并提供了两种不同类型的估计值。最近,作者实现了将解释变异乘法分解为必要性程度和充分性程度。这些测量方法也扩展到了竞争风险生存数据的情况。为了便于应用,作者提供了一个 SAS 宏和一个 R 函数。通过广泛的模拟研究,在群体水平上探索了这些度量的有趣经验特性。该方法的优势体现在奥地利的一项乳腺癌研究中,其中 CEs 所占比例很高。
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引用次数: 0
Nonparametric analysis of delayed treatment effects using single-crossing constraints 利用单交叉约束对延迟治疗效果进行非参数分析
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-02-25 DOI: 10.1002/bimj.202200165
Nicholas C. Henderson, Kijoeng Nam, Dai Feng

Clinical trials involving novel immuno-oncology therapies frequently exhibit survival profiles which violate the proportional hazards assumption due to a delay in treatment effect, and, in such settings, the survival curves in the two treatment arms may have a crossing before the two curves eventually separate. To flexibly model such scenarios, we describe a nonparametric approach for estimating the treatment arm-specific survival functions which constrains these two survival functions to cross at most once without making any additional assumptions about how the survival curves are related. A main advantage of our approach is that it provides an estimate of a crossing time if such a crossing exists, and, moreover, our method generates interpretable measures of treatment benefit including crossing-conditional survival probabilities and crossing-conditional estimates of restricted residual mean life. Our estimates of these measures may be used together with efficacy measures from a primary analysis to provide further insight into differences in survival across treatment arms. We demonstrate the use and effectiveness of our approach with a large simulation study and an analysis of reconstructed outcomes from a recent combination therapy trial.

由于治疗效果的延迟,涉及新型免疫肿瘤疗法的临床试验经常会出现违反比例危险假设的生存曲线,在这种情况下,两个治疗臂的生存曲线在最终分开之前可能会有一次交叉。为了灵活地模拟这种情况,我们介绍了一种估算治疗臂特异生存函数的非参数方法,该方法限制这两条生存函数最多交叉一次,而不对生存曲线的关系做任何额外的假设。我们的方法的主要优点是,如果存在交叉,它能提供交叉时间的估计值,此外,我们的方法还能生成可解释的治疗获益度量,包括交叉条件下的生存概率和交叉条件下的受限残余平均寿命估计值。我们对这些指标的估计值可与初次分析中的疗效指标一起使用,以进一步了解不同治疗方案的生存率差异。我们通过一项大型模拟研究和对近期一项联合疗法试验的重建结果分析,展示了我们的方法的应用和有效性。
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引用次数: 0
Editorial for the special collection “Towards neutral comparison studies in methodological research” 为 "在方法论研究中开展中性比较研究 "特辑撰写社论。
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-02-17 DOI: 10.1002/bimj.202400031
Anne-Laure Boulesteix, Mark Baillie, Dominic Edelmann, Leonhard Held, Tim P. Morris, Willi Sauerbrei

Biomedical researchers are frequently faced with an array of methods they might potentially use for the analysis and/or design of studies. It can be difficult to understand the absolute and relative merits of candidate methods beyond one's own particular interests and expertise. Choosing a method can be difficult even in simple settings but an increase in the volume of data collected, computational power, and methods proposed in the literature makes the choice all the more difficult. In this context, it is crucial to provide researchers with evidence-supported guidance derived from appropriately designed studies comparing statistical methods in a neutral way, in particular through well-designed simulation studies.

While neutral comparison studies are an essential cornerstone toward the improvement of this situation, a number of challenges remain with regard to their methodology and acceptance. Numerous difficulties arise when designing, conducting, and reporting neutral comparison studies. Practical experience is still scarce and literature on these issues almost inexistent. Furthermore, authors of neutral comparison studies are often faced with incomprehension from a large part of the scientific community, which is more interested in the development of “new” approaches and evaluates the importance of research primarily based on the novelty of the presented methods. Consequently, meaningful comparisons of competing approaches (especially reproducible studies including publicly available code and data) are rarely available and evidence-supported state of the art guidance is largely missing, often resulting in the use of suboptimal methods in practice.

The final special collection includes 11 contributions of the first type and 12 of the second, covering a wide range of methods and issues. Our expectations were fully met and even exceeded! We thank the authors for these outstanding contributions and the many reviewers for their very helpful comments.

The papers from the first category explore a wide range of highly relevant biostatistical methods. They present interesting implementations of various neutrality concepts and methodologies aiming at more reliability and transparency, for example, study protocols.

The topics include methodology to analyze data from randomized trials, such as the use of baseline covariates to analyze small cluster-randomized trials with a rare binary outcome (Zhu et al.) and the characterization of treatment effect heterogeneity (Sun et al.). The special collection also presents comparison studies that explore a variety of modeling approaches in other contexts. These include the analysis of survival data with nonproportional hazards with propensity score–weighted methods (Handorf et al.), the impact of the matching algorithm on the treatment effect estimate in causal analyses based on the propensity score (Heinz et al.), statistical methods for analyzing longitudinally measured ordinal outcomes

他们通过类比诊断准确性比较,提出了一种基于相对正负似然比的新方法。特刊还包括多篇发人深省的观点文章,讨论了基准制定方法的基本方面。Friedrich 和 Friede 讨论了基于模拟和基于真实数据的基准测试的互补作用。Heinze 等人提出了方法论研究的阶段性框架,其中考虑了如何使方法适合使用。Strobl 和 Leisch 强调,在比较研究中,需要放弃一种方法可以成为 "最佳 "方法的观念。其他文章探讨了比较研究设计的特殊方面。Pawel 等人讨论并证明了所谓的 "有问题的研究实践 "在模拟研究中的影响,Nießl 等人解释了通过交叉设计验证实验对新提出的方法进行乐观的性能评估的原因。Oberman 和 Vink 重点讨论了在设计评估估算方法的模拟实验时需要考虑的方面。在一封与本文相关的致编辑的信中,莫里斯等人指出了在此类模拟中固定单一完整数据集而不是重复采样数据的一些问题。除了高质量的投稿外,我们还欣喜地看到生物计量学界对提高比较方法研究质量的兴趣;当然,我们也担心可能收不到投稿!我们希望本特辑是对话的开始而不是结束,也希望读者和我们一样认为这些文章发人深省、切实有用。
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引用次数: 0
A generalized calibrated Bayesian hierarchical modeling approach to basket trials with multiple endpoints 针对多终点篮子试验的广义校准贝叶斯分层建模方法。
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-02-17 DOI: 10.1002/bimj.202300122
Xiaohan Chi, Ying Yuan, Zhangsheng Yu, Ruitao Lin

A basket trial simultaneously evaluates a treatment in multiple cancer subtypes, offering an effective way to accelerate drug development in multiple indications. Many basket trials are designed and monitored based on a single efficacy endpoint, primarily the tumor response. For molecular targeted or immunotherapy agents, however, a single efficacy endpoint cannot adequately characterize the treatment effect. It is increasingly important to use more complex endpoints to comprehensively assess the risk–benefit profile of such targeted therapies. We extend the calibrated Bayesian hierarchical modeling approach to monitor phase II basket trials with multiple endpoints. We propose two generalizations, one based on the latent variable approach and the other based on the multinomial–normal hierarchical model, to accommodate different types of endpoints and dependence assumptions regarding information sharing. We introduce shrinkage parameters as functions of statistics measuring homogeneity among subgroups and propose a general calibration approach to determine the functional forms. Theoretical properties of the generalized hierarchical models are investigated. Simulation studies demonstrate that the monitoring procedure based on the generalized approach yields desirable operating characteristics.

一篮子试验同时评估一种治疗方法在多种癌症亚型中的疗效,为加快多种适应症的药物开发提供了有效途径。许多篮子试验都是根据单一疗效终点(主要是肿瘤反应)来设计和监测的。然而,对于分子靶向或免疫疗法药物来说,单一的疗效终点并不能充分表征治疗效果。使用更复杂的终点来全面评估此类靶向疗法的风险-收益情况变得越来越重要。我们将校准贝叶斯分层建模方法扩展到监测具有多个终点的 II 期篮子试验。我们提出了两种概括方法,一种基于潜变量方法,另一种基于多叉-正态层次模型,以适应不同类型的终点和有关信息共享的依赖性假设。我们引入收缩参数作为衡量子群间同质性的统计量的函数,并提出了确定函数形式的一般校准方法。我们研究了广义分层模型的理论特性。模拟研究表明,基于广义方法的监控程序可产生理想的运行特性。
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引用次数: 0
Sparse multiway canonical correlation analysis for multimodal stroke recovery data 多模态中风恢复数据的稀疏多向典型相关分析
IF 1.7 3区 生物学 Q2 Mathematics Pub Date : 2024-02-17 DOI: 10.1002/bimj.202300037
Subham Das, Franklin D. West, Cheolwoo Park

Conventional canonical correlation analysis (CCA) measures the association between two datasets and identifies relevant contributors. However, it encounters issues with execution and interpretation when the sample size is smaller than the number of variables or there are more than two datasets. Our motivating example is a stroke-related clinical study on pigs. The data are multimodal and consist of measurements taken at multiple time points and have many more variables than observations. This study aims to uncover important biomarkers and stroke recovery patterns based on physiological changes. To address the issues in the data, we develop two sparse CCA methods for multiple datasets. Various simulated examples are used to illustrate and contrast the performance of the proposed methods with that of the existing methods. In analyzing the pig stroke data, we apply the proposed sparse CCA methods along with dimension reduction techniques, interpret the recovery patterns, and identify influential variables in recovery.

传统的典型相关分析(CCA)测量两个数据集之间的关联,并找出相关的贡献者。然而,当样本量小于变量数量或有两个以上数据集时,它在执行和解释方面就会遇到问题。我们的激励性实例是一项与中风有关的猪临床研究。数据是多模态的,由在多个时间点进行的测量组成,变量多于观测值。这项研究旨在根据生理变化发现重要的生物标志物和中风恢复模式。为了解决数据中存在的问题,我们开发了两种适用于多个数据集的稀疏 CCA 方法。我们使用各种模拟示例来说明和对比所提方法与现有方法的性能。在分析猪中风数据时,我们应用了所提出的稀疏 CCA 方法和降维技术,解释了恢复模式,并确定了对恢复有影响的变量。
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引用次数: 0
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Biometrical Journal
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