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Bayesian Analysis of Multi-Factorial Experimental Designs Using SEM. 利用 SEM 对多因素实验设计进行贝叶斯分析。
IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 Epub Date: 2024-07-10 DOI: 10.1080/00273171.2024.2315557
Benedikt Langenberg, Jonathan L Helm, Axel Mayer

Latent repeated measures ANOVA (L-RM-ANOVA) has recently been proposed as an alternative to traditional repeated measures ANOVA. L-RM-ANOVA builds upon structural equation modeling and enables researchers to investigate interindividual differences in main/interaction effects, examine custom contrasts, incorporate a measurement model, and account for missing data. However, L-RM-ANOVA uses maximum likelihood and thus cannot incorporate prior information and can have poor statistical properties in small samples. We show how L-RM-ANOVA can be used with Bayesian estimation to resolve the aforementioned issues. We demonstrate how to place informative priors on model parameters that constitute main and interaction effects. We further show how to place weakly informative priors on standardized parameters which can be used when no prior information is available. We conclude that Bayesian estimation can lower Type 1 error and bias, and increase power and efficiency when priors are chosen adequately. We demonstrate the approach using a real empirical example and guide the readers through specification of the model. We argue that ANOVA tables and incomplete descriptive statistics are not sufficient information to specify informative priors, and we identify which parameter estimates should be reported in future research; thereby promoting cumulative research.

最近有人提出了潜变量重复测量方差分析(L-RM-ANOVA),作为传统重复测量方差分析的替代方法。L-RM-ANOVA 建立在结构方程模型的基础上,使研究人员能够调查主效应/交互效应的个体间差异、检查自定义对比、纳入测量模型并考虑缺失数据。然而,L-RM-ANOVA 使用最大似然法,因此无法纳入先验信息,而且在小样本中统计特性较差。我们展示了如何将 L-RM-ANOVA 与贝叶斯估计相结合来解决上述问题。我们演示了如何在构成主效应和交互效应的模型参数上放置信息先验。我们还进一步展示了如何在标准化参数上设置弱信息先验,这可以在没有先验信息的情况下使用。我们的结论是,贝叶斯估计可以降低 1 类误差和偏差,并在充分选择先验的情况下提高功率和效率。我们用一个真实的经验例子来演示这种方法,并指导读者完成模型的规范化。我们认为,方差分析表和不完整的描述性统计信息不足以指定有参考价值的先验信息,我们还确定了在未来的研究中应报告哪些参数估计,从而促进累积性研究。
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引用次数: 0
Using Monte Carlo Simulation to Forecast the Scientific Utility of Psychological App Studies: A Tutorial. 使用蒙特卡罗模拟预测心理应用研究的科学实用性:教程。
IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 Epub Date: 2024-07-11 DOI: 10.1080/00273171.2024.2335411
Sebastian Kueppers, Richard Rau, Florian Scharf

Mobile applications offer a wide range of opportunities for psychological data collection, such as increased ecological validity and greater acceptance by participants compared to traditional laboratory studies. However, app-based psychological data also pose data-analytic challenges because of the complexities introduced by missingness and interdependence of observations. Consequently, researchers must weigh the advantages and disadvantages of app-based data collection to decide on the scientific utility of their proposed app study. For instance, some studies might only be worthwhile if they provide adequate statistical power. However, the complexity of app data forestalls the use of simple analytic formulas to estimate properties such as power. In this paper, we demonstrate how Monte Carlo simulations can be used to investigate the impact of app usage behavior on the utility of app-based psychological data. We introduce a set of questions to guide simulation implementation and showcase how we answered them for the simulation in the context of the guessing game app Who Knows (Rau et al., 2023). Finally, we give a brief overview of the simulation results and the conclusions we have drawn from them for real-world data generation. Our results can serve as an example of how to use a simulation approach for planning real-world app-based data collection.

移动应用程序为心理数据收集提供了广泛的机会,例如与传统的实验室研究相比,移动应用程序提高了生态有效性并更容易被参与者接受。然而,基于应用程序的心理数据也带来了数据分析方面的挑战,因为观察结果的缺失和相互依赖带来了复杂性。因此,研究人员必须权衡基于应用程序的数据收集的利弊,以决定所提议的应用程序研究的科学实用性。例如,有些研究可能只有在提供足够的统计能力时才有价值。然而,由于应用程序数据的复杂性,我们无法使用简单的分析公式来估算统计强度等属性。在本文中,我们展示了如何利用蒙特卡罗模拟来研究应用程序使用行为对基于应用程序的心理数据效用的影响。我们介绍了一系列指导模拟实施的问题,并展示了我们如何在猜谜游戏应用程序《谁知道》(Rau 等人,2023 年)的背景下为模拟回答这些问题。最后,我们简要概述了模拟结果以及我们从中得出的关于真实世界数据生成的结论。我们的结果可以作为一个范例,说明如何使用模拟方法来规划现实世界中基于应用程序的数据收集。
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引用次数: 0
A Confidence Interval for the Difference Between Standardized Regression Coefficients. 标准化回归系数之差的置信区间。
IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 Epub Date: 2024-04-01 DOI: 10.1080/00273171.2024.2318784
Samantha F Anderson

Researchers are often interested in comparing predictors, a practice commonly done via informal comparisons of standardized regression slopes. However, formal interval-based approaches offer advantages over informal comparison. Specifically, this article examines a delta-method-based confidence interval for the difference between two standardized regression coefficients, building upon previous work on confidence intervals for single coefficients. Using Monte Carlo simulation studies, the proposed approach is evaluated at finite sample sizes with respect to coverage rate, interval width, Type I error rate, and statistical power under a variety of conditions, and is shown to outperform an alternative approach that uses the standard covariance matrix found in regression textbooks. Additional simulations evaluate current software implementations, small sample performance, and multiple comparison procedures for simultaneously testing multiple differences of interest. Guidance on sample size planning for narrow confidence intervals, an R function to conduct the proposed method, and two empirical demonstrations are provided. The goal is to offer researchers a different tool in their toolbox for when comparisons among standardized coefficients are desired, as a supplement to, rather than a replacement for, other potentially useful analyses.

研究人员通常对比较预测因子感兴趣,这种做法通常是通过标准化回归斜率的非正式比较来实现的。然而,与非正式比较相比,基于正式区间的方法更具优势。具体来说,本文在以往研究单一系数置信区间的基础上,研究了基于 delta 方法的两个标准化回归系数之差的置信区间。通过蒙特卡罗模拟研究,在有限样本量下对所提出的方法进行了覆盖率、区间宽度、I 类错误率和各种条件下的统计能力评估,结果表明该方法优于使用回归教科书中标准协方差矩阵的替代方法。其他模拟还评估了当前的软件实施、小样本性能以及同时测试多个相关差异的多重比较程序。此外,还提供了针对窄置信区间的样本量规划指导、用于执行建议方法的 R 函数以及两个经验演示。我们的目标是为研究人员提供一个不同的工具箱,以便在需要比较标准化系数时,作为其他潜在有用分析的补充而不是替代。
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引用次数: 0
Finite Mixtures of Latent Trait Analyzers With Concomitant Variables for Bipartite Networks: An Analysis of COVID-19 Data. 双方网络中带有伴随变量的潜在特质分析器的有限混合物:COVID-19 数据分析
IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 Epub Date: 2024-05-24 DOI: 10.1080/00273171.2024.2335391
Dalila Failli, Maria Francesca Marino, Francesca Martella

Networks consist of interconnected units, known as nodes, and allow to formally describe interactions within a system. Specifically, bipartite networks depict relationships between two distinct sets of nodes, designated as sending and receiving nodes. An integral aspect of bipartite network analysis often involves identifying clusters of nodes with similar behaviors. The computational complexity of models for large bipartite networks poses a challenge. To mitigate this challenge, we employ a Mixture of Latent Trait Analyzers (MLTA) for node clustering. Our approach extends the MLTA to include covariates and introduces a double EM algorithm for estimation. Applying our method to COVID-19 data, with sending nodes representing patients and receiving nodes representing preventive measures, enables dimensionality reduction and the identification of meaningful groups. We present simulation results demonstrating the accuracy of the proposed method.

网络由相互连接的单元(称为节点)组成,可以正式描述系统内的互动关系。具体来说,双向网络描述了两组不同节点之间的关系,分别称为发送节点和接收节点。双向网络分析的一个重要方面通常是识别具有相似行为的节点群。大型双节点网络模型的计算复杂性是一个挑战。为了减轻这一挑战,我们采用了潜在特质分析器混合物(MLTA)来进行节点聚类。我们的方法将 MLTA 扩展到了协变量,并引入了双 EM 算法进行估计。将我们的方法应用于 COVID-19 数据(发送节点代表患者,接收节点代表预防措施),可以降低维度并识别有意义的群体。我们展示了模拟结果,证明了所提方法的准确性。
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引用次数: 0
Methodological and Statistical Practices of Using Symptom Networks to Evaluate Mental Health Interventions: A Review and Reflections. 使用症状网络评估心理健康干预措施的方法和统计实践:回顾与思考》。
IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 Epub Date: 2024-05-11 DOI: 10.1080/00273171.2024.2335401
Lea Schumacher, Julian Burger, Jette Echterhoff, Levente Kriston

The network approach to psychopathology, which assesses associations between individual symptoms, has recently been applied to evaluate treatments for mental disorders. While various options for conducting network analyses in intervention research exist, an overview and an evaluation of the various approaches are currently missing. Therefore, we conducted a review on network analyses in intervention research. Studies were included if they constructed a symptom network, analyzed data that were collected before, during or after treatment of a mental disorder, and yielded information about the treatment effect. The 56 included studies were reviewed regarding their methodological and analytic strategies. About half of the studies based on data from randomized trials conducted a network intervention analysis, while the other half compared networks between treatment groups. The majority of studies estimated cross-sectional networks, even when repeated measures were available. All but five studies investigated networks on the group level. This review highlights that current methodological practices limit the information that can be gained through network analyses in intervention research. We discuss the strength and limitations of certain methodological and analytic strategies and propose that further work is needed to use the full potential of the network approach in intervention research.

精神病理学的网络分析方法评估个体症状之间的关联,最近已被用于评估精神障碍的治疗方法。虽然在干预研究中进行网络分析有多种选择,但目前还缺少对各种方法的概述和评估。因此,我们对干预研究中的网络分析进行了综述。如果研究构建了症状网络,分析了精神障碍治疗前、治疗中或治疗后收集的数据,并提供了有关治疗效果的信息,则被纳入研究范围。我们对纳入的 56 项研究的方法和分析策略进行了审查。基于随机试验数据的研究中,约有一半进行了网络干预分析,而另一半则对治疗组之间的网络进行了比较。大多数研究对横断面网络进行了估计,即使有重复测量数据也是如此。除五项研究外,其他所有研究都对群体层面的网络进行了调查。本综述强调,目前的方法限制了干预研究中通过网络分析获得的信息。我们讨论了某些方法和分析策略的优势和局限性,并提出需要进一步开展工作,以充分发挥网络方法在干预研究中的潜力。
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引用次数: 0
Bayesian Multivariate Logistic Regression for Superiority and Inferiority Decision-Making under Observable Treatment Heterogeneity. 在可观察到的治疗异质性条件下,用于优劣决策的贝叶斯多变量逻辑回归。
IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 Epub Date: 2024-05-11 DOI: 10.1080/00273171.2024.2337340
Xynthia Kavelaars, Joris Mulder, Maurits Kaptein

The effects of treatments may differ between persons with different characteristics. Addressing such treatment heterogeneity is crucial to investigate whether patients with specific characteristics are likely to benefit from a new treatment. The current paper presents a novel Bayesian method for superiority decision-making in the context of randomized controlled trials with multivariate binary responses and heterogeneous treatment effects. The framework is based on three elements: a) Bayesian multivariate logistic regression analysis with a Pólya-Gamma expansion; b) a transformation procedure to transfer obtained regression coefficients to a more intuitive multivariate probability scale (i.e., success probabilities and the differences between them); and c) a compatible decision procedure for treatment comparison with prespecified decision error rates. Procedures for a priori sample size estimation under a non-informative prior distribution are included. A numerical evaluation demonstrated that decisions based on a priori sample size estimation resulted in anticipated error rates among the trial population as well as subpopulations. Further, average and conditional treatment effect parameters could be estimated unbiasedly when the sample was large enough. Illustration with the International Stroke Trial dataset revealed a trend toward heterogeneous effects among stroke patients: Something that would have remained undetected when analyses were limited to average treatment effects.

不同特征的人接受治疗的效果可能不同。要研究具有特定特征的患者是否可能从新疗法中获益,解决这种治疗异质性问题至关重要。本文提出了一种新颖的贝叶斯方法,用于在具有多变量二元反应和异质性治疗效果的随机对照试验中进行优势决策。该框架基于三个要素:a) 采用 Pólya-Gamma 扩展的贝叶斯多元逻辑回归分析;b) 将获得的回归系数转换为更直观的多元概率量表(即成功概率及其之间的差异)的转换程序;c) 采用预设决策误差率进行治疗比较的兼容决策程序。此外,还包括非信息先验分布下的先验样本量估算程序。数值评估结果表明,基于先验样本量估计的决策可在试验人群和亚人群中产生预期误差率。此外,当样本足够大时,平均和条件治疗效果参数可以无偏估计。国际脑卒中试验数据集的说明显示,脑卒中患者中存在异质性效应的趋势:如果只对平均治疗效果进行分析,则无法发现这种趋势。
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引用次数: 0
Information Matrix Test for Item Response Models Using Stochastic Approximation. 使用随机逼近法进行项目反应模型的信息矩阵测试
IF 3.8 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-01 Epub Date: 2024-02-19 DOI: 10.1080/00273171.2024.2310426
Youngjin Han, Yang Liu, Ji Seung Yang
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引用次数: 0
Propensity Score Weighting with Missing Data on Covariates and Clustered Data Structure. 具有协变量缺失数据和聚类数据结构的倾向得分加权。
IF 3.8 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-01 Epub Date: 2024-02-20 DOI: 10.1080/00273171.2024.2307529
Xiao Liu

Propensity score (PS) analyses are increasingly popular in behavioral sciences. Two issues often add complexities to PS analyses, including missing data in observed covariates and clustered data structure. In previous research, methods for conducting PS analyses with considering either issue alone were examined. In practice, the two issues often co-occur; but the performance of methods for PS analyses in the presence of both issues has not been evaluated previously. In this study, we consider PS weighting analysis when data are clustered and observed covariates have missing values. A simulation study is conducted to evaluate the performance of different missing data handling methods (complete-case, single-level imputation, or multilevel imputation) combined with different multilevel PS weighting methods (fixed- or random-effects PS models, inverse-propensity-weighting or the clustered weighting, weighted single-level or multilevel outcome models). The results suggest that the bias in average treatment effect estimation can be reduced, by better accounting for clustering in both the missing data handling stage (such as with the multilevel imputation) and the PS analysis stage (such as with the fixed-effects PS model, clustered weighting, and weighted multilevel outcome model). A real-data example is provided for illustration.

倾向得分(PS)分析在行为科学领域越来越受欢迎。有两个问题常常会增加倾向评分分析的复杂性,包括观测协变量数据的缺失和聚类数据结构。在以往的研究中,研究人员研究了在单独考虑其中一个问题的情况下进行 PS 分析的方法。在实践中,这两个问题往往同时存在;但在同时存在这两个问题的情况下,进行 PS 分析的方法的性能以前还没有进行过评估。在本研究中,我们考虑了数据聚类和观测协变量有缺失值时的 PS 加权分析。我们进行了一项模拟研究,以评估不同的缺失数据处理方法(完整病例、单水平估算或多水平估算)与不同的多水平 PS 加权方法(固定或随机效应 PS 模型、反倾向加权或聚类加权、加权单水平或多水平结果模型)相结合的性能。结果表明,通过在缺失数据处理阶段(如多水平估算)和 PS 分析阶段(如固定效应 PS 模型、聚类加权和加权多水平结果模型)更好地考虑聚类,可以减少平均治疗效果估计的偏差。现提供一个真实数据示例以作说明。
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引用次数: 0
Understanding Ability and Reliability Differences Measured with Count Items: The Distributional Regression Test Model and the Count Latent Regression Model. 理解用计数项目测量的能力和可靠性差异:分布回归测试模型和计数潜回归模型。
IF 3.8 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-01 Epub Date: 2024-02-13 DOI: 10.1080/00273171.2023.2288577
Marie Beisemann, Boris Forthmann, Philipp Doebler

In psychology and education, tests (e.g., reading tests) and self-reports (e.g., clinical questionnaires) generate counts, but corresponding Item Response Theory (IRT) methods are underdeveloped compared to binary data. Recent advances include the Two-Parameter Conway-Maxwell-Poisson model (2PCMPM), generalizing Rasch's Poisson Counts Model, with item-specific difficulty, discrimination, and dispersion parameters. Explaining differences in model parameters informs item construction and selection but has received little attention. We introduce two 2PCMPM-based explanatory count IRT models: The Distributional Regression Test Model for item covariates, and the Count Latent Regression Model for (categorical) person covariates. Estimation methods are provided and satisfactory statistical properties are observed in simulations. Two examples illustrate how the models help understand tests and underlying constructs.

在心理学和教育学中,测验(如阅读测验)和自我报告(如临床问卷)会产生计数,但与二进制数据相比,相应的项目反应理论(IRT)方法还不够完善。最近的进展包括双参数康威-麦克斯韦-泊松模型(2PCMPM),它是对拉施的泊松计数模型的推广,具有特定项目的难度、区分度和离散度参数。解释模型参数的差异可为项目构建和选择提供信息,但却很少受到关注。我们介绍了两个基于 2PCMPM 的解释性计数 IRT 模型:针对项目协变量的分布回归测试模型和针对(分类)人协变量的计数潜回归模型。提供了估计方法,并通过模拟观察到了令人满意的统计特性。两个例子说明了这些模型如何帮助理解测验和基本结构。
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引用次数: 0
Investigating Moderation Effects at the Within-Person Level Using Intensive Longitudinal Data: A Two-Level Dynamic Structural Equation Modelling Approach in Mplus. 利用密集纵向数据调查人内水平的调节效应:Mplus 中的两级动态结构方程建模方法》(A Two-Level Dynamic Structural Equation Modelling Approach in Mplus)。
IF 3.8 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-01 Epub Date: 2024-02-14 DOI: 10.1080/00273171.2023.2288575
Lydia Gabriela Speyer, Aja Louise Murray, Rogier Kievit

Recent technological advances have provided new opportunities for the collection of intensive longitudinal data. Using methods such as dynamic structural equation modeling, these data can provide new insights into moment-to-moment dynamics of psychological and behavioral processes. In intensive longitudinal data (t > 20), researchers often have theories that imply that factors that change from moment to moment within individuals act as moderators. For instance, a person's level of sleep deprivation may affect how much an external stressor affects mood. Here, we describe how researchers can implement, test, and interpret dynamically changing within-person moderation effects using two-level dynamic structural equation modeling as implemented in the structural equation modeling software Mplus. We illustrate the analysis of within-person moderation effects using an empirical example investigating whether changes in spending time online using social media affect the moment-to-moment effect of loneliness on depressive symptoms, and highlight avenues for future methodological development. We provide annotated Mplus code, enabling researchers to better isolate, estimate, and interpret the complexities of within-person interaction effects.

最近的技术进步为收集大量纵向数据提供了新的机会。利用动态结构方程建模等方法,这些数据可以为心理和行为过程的瞬间动态变化提供新的见解。在密集纵向数据(t > 20)中,研究人员通常会提出一些理论,暗示个体内部不同时刻发生变化的因素起着调节作用。例如,一个人的睡眠不足程度可能会影响外部压力对情绪的影响程度。在此,我们将介绍研究人员如何利用结构方程建模软件 Mplus 中的两级动态结构方程模型来实现、测试和解释动态变化的人内调节效应。我们通过一个实证例子来说明人内调节效应的分析,该例子调查了使用社交媒体上网时间的变化是否会影响孤独感对抑郁症状的瞬间效应,并强调了未来方法论发展的途径。我们提供了带注释的 Mplus 代码,使研究人员能够更好地分离、估计和解释复杂的人际互动效应。
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引用次数: 0
期刊
Multivariate Behavioral Research
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