Digital Module 16: Longitudinal Data Analysis

In this digital ITEMS module, Dr. Jeffrey Harring and Ms. Tessa Johnson introduce the linear mixed effects (LME) model as a flexible general framework for simultaneously modeling continuous repeated measures data with a scientifically defensible function that adequately summarizes both individual change as well as the average response. The module begins with a nontechnical overview of longitudinal data analyses drawing distinctions with cross-sectional analyses in terms of research questions to be addressed. Nuances of longitudinal designs, timing of measurements, and the real possibility of missing data are then discussed. The three interconnected components of the LME model—(1) a model for individual and mean response profiles, (2) a model to characterize the covariation among the time-specific residuals, and (3) a set of models that summarize the extent that individual coefficients vary—are discussed in the context of the set of activities comprising an analysis. Finally, they demonstrate how to estimate the linear mixed effects model within an open-source environment (R). The digital module contains sample R code, diagnostic quiz questions, hands-on activities in R, curated resources, and a glossary.     

体育多种预测方法的比较研究

摘要：运用相关回归、标准百分和多级多类判别理论，建立多元回归和单元回归预测模型，所建立的y1、y2、y3模型预测值准确度高，与实际专项成绩值的相关性显著、t检无差异、有显著的线性关系、tr检验呈高度相关。其中，y2模型预测值的准确度更高，建模方法更具简便性、实效性。     

Examining Intermediate Omitted Levels in Hierarchical Designs via Latent Variable Modeling

This article outlines an interval estimation procedure that can be used in a 3-level setting to evaluate the proportion of outcome variance attributable to the second level of clustering. The method is useful for examining the necessity of including a possibly omitted intermediate level of nesting in analyses of data from a multilevel study, and represents an informative addendum to current statistical tests of second-level variance. The approach is developed within the framework of latent variable modeling and can be used as an aid in the process of choosing between 2-level and 3-level models in a hierarchical design. The discussed procedure is illustrated with an empirical example.     

The Misspecification of the Covariance Structures in Multilevel Models for Single-Case Data: A Monte Carlo Simulation Study

The impact of misspecifying covariance matrices at the second and third levels of the three-level model is evaluated. Results indicate that ignoring existing covariance has no effect on the treatment effect estimate. In addition, the between-case variance estimates are unbiased when covariance is either modeled or ignored. If the research interest lies in the between-study variance estimate, including at least 30 studies is warranted. Modeling covariance does not result in less biased between-study variance estimates as the between-study covariance estimate is biased. When the research interest lies in the between-case covariance, the model including covariance results in unbiased between-case variance estimates. The three-level model appears to be less appropriate for estimating between-study variance if fewer than 30 studies are included.     

Performance factors and immigration. Impact of individual and school variables / Factores de rendimiento e inmigración. Impacto de variables individuales y escolares

The way schools address migratory movements has a direct impact on integration and social cohesion, making the in-depth study of factors that affect the lower performance of immigrant students in comparison with non-immigrants essential. Using a methodology based on random coefficient models, this paper analyses the differential effect of individual level and school level variables on the estimation of mathematical competence in non-immigrant and immigrant populations. Data are extracted from an educational assessment programme carried out in the Basque Autonomous Community. The sample consists of 16,981 students with an average age of 13.7 years, of which 1,369 are immigrant students. The results reveal that individual and family-level variables show significantly higher impact on student performance than school-level variables. The article concludes by emphasizing the importance of investing in policies to support diversity that work at family level, as a means to achieve fuller equity.     

Using students’ feedback for teacher education: measurement invariance across pre-service teacher-rated and student-rated aspects of quality of teaching

Comparing self-perceived quality of teaching to students’ perception can be used in higher education to improve the quality of teaching of pre-service teachers in teacher education. However, comparing these measurements from different perspectives is only meaningful if the same constructs are being measured. To shed light on this comparison’s meaningfulness, we scrutinised whether aspects of quality of teaching are measured in the same way across pre-service teachers and their students by means of measurement invariance analyses. To do so, 272 pre-service teachers in teacher education rated aspects of their quality of teaching, and were rated by their 4851 students. Measurement invariance across these perspectives was tested in multilevel structural equation models. Strong measurement invariance held for two aspects of quality of teaching; for the third, one item lacked weak measurement invariance. Pre-service teachers perceived their quality of teaching lower than their students. In conclusion, aspects of quality of teaching can be compared across perspectives, and teacher education should encourage pre-service teachers to use students’ feedback as a valuable resource for improving their quality of teaching.     

中压混合型模块化多电平变换器的载波移相调制策略

由于半桥子模块与全桥子模块的载波移相调制策略不同,两者混合而成的模块化多电平变换器(modular multilevel converter, MMC)不能直接沿用原来的调制策略;在船舶中压直流电力系统中,由于变换器模块数较少,交流输出电压的波形质量相对较差。基于上述原因,通过载波相位角的合理配置,提出一种改进型载波移相调制策略。该策略不仅能够增加交流输出电压的电平数,而且不局限于某种特定的拓扑结构。通过仿真验证其有效性和通用性,验证结果显示它是一种适用于中压混合型MMC的通用调制策略。     

单效蒸发与多效蒸发的比较

从蒸发设备、优化、等五个方面阐述了单效蒸发与多效蒸发的异同点的及其优缺点。     

评价图书馆自动化集成系统的一种新方法

目前，评价图书馆自动化集成系统已有多种方法，但这些方法都有一定的局限性，本文运用多级模糊综合评判的方法对图书馆自动化集成系统进行评价，该方法较容易在计算机上实现