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.     

哪些研究问题需要用分层线性模型回答

采用常规的回归分析或方差分析处理行为科学与社会科学研究中经常遇到的嵌套数据，不能满足独立观察的假定，得到的标准误差较小，导致I型错误扩大化，同时，也不利于对不同层次变量不同作用的探讨，分层线性则明确区分数据层次，通过对个体水平变量和组别水平变量的分层综合分析，避免了上述弊病，因而可对个体水平的变量进行更准确的预测和更合理的解释，通过实例介绍了将研究问题与分层线性模型有机结合的方法。     

三维影相的新算法——修正的直接线性变换

通过引入摄影机镜头的内、外方位元素的约束条件,导出了一种修正的DLT(MDLT)方法。该方法用于影片和录相的实测,得到一些有意义的结果。当测量的标定控制点点数较少(6～8个),且这些点的位置在空间和成像面分布不均匀时,用MDLT计算的结果比DLT的结果要好,误差可降低80％以上。     

约束线性方程组唯一解的Cramer法则

A∈Cmxn,T为Cn的子空间.本文给出了约束线性方程组Ax=b(x∈T)的唯一解的Cramer法则,同时也给出了一些相容或不相容线性方程组在一定意义下解的Cramer法则.     

图书馆网络信息服务管理模式析探

从点、线、面的角度，分别论述图书馆网络信息服务管理的三种基本模式——点状管理模式、线性管理模式、网状管理模式；在分析各模式在图书馆的应用表现形式和各自特点的基础上，提出环境管理模式是理想的图书馆网络信息服务管理模式。     

Author ranking evaluation at scale

We evaluate author impact indicators and ranking algorithms on two publication databases using large test data sets of well-established researchers. The test data consists of (1) ACM fellowship and (2) various life-time achievement awards. We also evaluate different approaches of dividing credit of papers among co-authors and analyse the impact of self-citations. Furthermore, we evaluate different graph normalisation approaches for when PageRank is computed on author citation graphs.We find that PageRank outperforms citation counts in identifying well-established researchers. This holds true when PageRank is computed on author citation graphs but also when PageRank is computed on paper graphs and paper scores are divided among co-authors. In general, the best results are obtained when co-authors receive an equal share of a paper's score, independent of which impact indicator is used to compute paper scores. The results also show that removing author self-citations improves the results of most ranking metrics. Lastly, we find that it is more important to personalise the PageRank algorithm appropriately on the paper level than deciding whether to include or exclude self-citations. However, on the author level, we find that author graph normalisation is more important than personalisation.     

Four pitfalls in normalizing citation indicators: An investigation of ESI’s selection of highly cited papers

InCites Essential Science Indicators is becoming increasingly used to identify top-performing research and evaluate the impact of institutes. Unfortunately, our study shows that ESI indicators, as well as other normalized citation indicators, have the following flaws. First, the publication month and the online-to-print delay affect a paper’s probability of becoming a Highly Cited Paper (HCP). Papers published in the earlier months of the year are more likely to accumulate enough citation counts to rank at the top 1% compared with those published in later months of the year. Papers with longer online-to-print delays have an apparent advantage for being selected as HCPs. Research field normalizations lead to the third pitfall. Different research fields have different citation thresholds for HCPs, making research field classification important for a journal. In addition, the uniform thresholds for both articles and reviews in ESI affect the reliability of HCP selection because, on average, reviews tend to have higher citation rates than articles. ESI’s selection of HCPs provides an intuitive feel for the problems of normalized citation impact indicators, such as those provided in InCites and SciVal.     

Jacobi与Gauss—Seidel迭代法求解线性方程组收敛性比较与研究

Jacobi迭代法和Gauss-Seidel迭代法是计算机求解线性方程组常用的两种迭代法,但是这两种方法对方程的收敛性要求很严,大部分方程组均不能用以求解.给出一些基本技巧:对于简单的2阶方程组,若Jacobi法与Gauss-Seidel法均发散,可交换其两行求得其解;对一般性方程,给出一个应用性较强的定理,将方程Ax=b ATAx=ATb,可以用Gauss-Seidel求得任何｜A｜≠0方程组的解.     

温州经济发展存在的问题及对策——基于温杭甬台绍金经济指标的比较

温州经济发展面临着“追兵渐近、标兵渐远”的态势。通过温杭甬台绍金在总量指标、质量指标、投资指标、出口指标和消费指标五大经济指标的比较分析发现，温州经济发展存在高商务成本、投资生态圈未戍形、中心城市扩容窄、物流平台拓展落后、深陷民间借贷和联保等问题。在当前重大转型升级期，温州应采取打好互保链这张牌，改善软环境，借城市经济“外推”服务业等切实有效的措施，用以助推温州经济进一步发展。