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A meta-analysis combines and compares quantitative results of a set of studies in which more or less the same research question has been investigated. Based on a simple data set, the goals and opportunities of meta-analysis are introduced. It will be shown how a meta-analysis on a set of studies investigating an association between two variables can result in more power and accuracy in testing and estimating the overall size of association. Besides, a meta-analysis offers the possibility to assess study heterogeneity in the association, and to investigate if this heterogeneity can be explained by one or more study characteristics. Next, some common measures of association will be examined, and it will be shown how these can be calculated based on various formats in which study results are typically reported. We will briefly discuss con...
Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
Die vorliegende Arbeit unterteilt sich in drei Abschnitte und wurde zu einem großen Teil in Anlehnung an die Darstellungen in [LR] erstellt. Verschiedene Aspekte und Beispiele wurden auch aus [HK], [DL] und [MV] verwendet. Als Referenz für Aussagen aus der klassischen Analysis dienen [OF] und [FW]. Als Grundlage für die Arbeit mit Nichtstandard-Methoden wird im ersten Kapitel der angeordnete Körper der hyperreellen Zahlen konstruiert, mit dem Ziel, einen Körper zu erhalten, der unendlich große und unendlich kleine Elemente enthält. Im Verlauf dieses Kapitels werden zudem zentrale Begriffe der Nichtstandard-Analysis wie zum Beispiel "fast überall", "finit" oder "infinitesimal benachbart" eingeführt, die als Grundlage für das Rechnen in *R dienen. Im zweiten Kapitel werden zwei wichtige Beweisprinzipien der Nichtstandard-Analysis erläu...
Comment: This new twist in harmonic analysis was primary introduced in Milwaukee's conference http://www.eit-conference.info/papers.asp
This diploma thesis is dealing with the statistical basics of scientific research in the field of Notational Analysis in soccer. Based on definitions of soccer specific terms the relevance and necessity of the systematic match analysis in soccer is pointed out afterwards. Out of 39 articles in five different ISI-ranked professional journals the essential issues of the investigated studies have been worked out and the appearing statistic methods have been critically observed. Furthermore the different approaches for the determination of the optimal survey sample size (minimum number of needed matches) are shown. For clearer understanding and easier comprehensibility of the analysed articles, the most popular descriptive as well as inferential test procedures are explained in advance. Moreover, the mathematical approaches are described. ...
The goal of meta-analysis is to integrate the research results of a number of studies on a specific topic. Characteristic for meta-analysis is that in general only the summary statistics of the studies are used and not the original data. When the published research results to be integrated are longitudinal, multilevel analysis can be used for the meta-analysis. We will demonstrate this with an example of longitudinal data on the mental development of infants. We distinguish four levels in the data. The highest level (4) is the publication, in which the results of one or more studies are published. The third level consists of the separate studies. At this level we have knowledge about the degree of prematurity of the group of infants in the specific study. The second level are the repeated measures. We have data about the test age, the ...
Comunicación presentada en MML 2011, 4th International Workshop on Machine Learning and Music: Learning from Musical Structure, Sierra Nevada, Spain, December 17, 2011.
Arivia.kom was formed out of a merger of the information technology (IT) departments of Eskom, Transnet and Denel. The aim was to address skilled staff losses and to achieve economies of scale. Agreements were drafted ensuring arivia.kom business patronage for a period of five years. Arivia.kom's commencement was accompanied by problems, affecting its customers to the extent that they indicated dissatisfaction with performance. This study established the extent of those problems, and the reasons for their occurrence. A market analysis was conducted with specific focus on customer and competitor analysis. An investigation was conducted into the quality of service, overall customer impression of the organisation since its inception, as well as performance against competitors. The major findings indicated that performance problems ...
Domain analysis (DA) consists of analyzing properties, concepts and solutions for a given domain of application. Based on that information, decisions are made concerning the software development for future application within that domain. In DA, feature modeling is used to describe common and variable requirements for software systems. Nevertheless, they show a limited view of the domain. In the mean time, requirement approaches can be integrated to specify the domain requirements. Among them, we have viewpoint oriented approaches that stand out by their simplicity, and efficiency organizing requirements. However, none of them deals with modularization of crosscutting subjects. A crosscutting subject can be spread out in several requirement documents. In this work we will use a viewpoint oriented approach to describe the domain requirem...
This thesis develops a general strategy for factorial linear model analysis for experimental and observational studies. It satisfactorily deals with a number of issues that have previously caused problems in such analyses. The strategy developed here is an iterative, four-stage, model comparison procedure as described in Brien (1989); it is a generalization of the approach of Nelder (1965a,b). The approach is applicable to studies characterized as being structure-balanced, multitiered and based on Tjur structures unless the structure involves variation factors when it must be a regular Tjur structure. It covers a wide range of experiments including multiple-error, change-over, two-phase, superimposed and unbalanced experiments. Examples illustrating this are presented. Inference from the approach is based on linear expectation and v...
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