Testing and Assessment in Mathematics via Web Applications

This paper deals with the web interface Maple T.A. which is used for mathematical education at the Vienna University of Technology. Maple T.A. is based on the computer algebra system Maple. This fact offers the possibility to test and assess the students in easy but also complex mathematical matters in an uncomplicated way. This interface was first used only for the refresher course. This course takes place in the first 3 weeks of the semester and deals with the repetition of all the important themes of the school mathematics. Maple T.A. is also used for the basic and advanced mathematical courses in the first two years in the study of electrical engineering. For these courses the use of Maple T.A. includes the offer of assignments for every chapter of the lecture but also homework and tests are realized in it

Definition, Validation and Comparison of Two Population Models for Austria

In this work we present two structurally different mathematical models for the prognostic simulation of Austria’s population: A time-continuous, macroscopic system dynamics approach and a time-discrete, microscopic agent-based approach. Both models were developed as case studies of a series of population concepts in order to support models for decision-support in Austria’s health care system. In the present work we want to focus on the definition, the parametrisation as well as especially the validation process of both population-models. The latter was of special interest as it included a cross-model validation with Statistics Austria’s own prognostic model SIKURS

Definition, Validation and Comparison of Two Population Models for Austria

In this work we present two structurally different mathematical models for the prognostic simulation of Austria’s population: A time-continuous, macroscopic system dynamics approach and a time-discrete, microscopic agent-based approach. Both models were developed as case studies of a series of population concepts in order to support models for decision-support in Austria’s health care system. In the present work we want to focus on the definition, the parametrisation as well as especially the validation process of both population-models. The latter was of special interest as it included a cross-model validation with Statistics Austria’s own prognostic model SIKURS

A Web-based Platform for E-Learning and Blended Learning in Modelling and Simulation

The Mathematics Modelling and Tools (MMT) e-learning system is a platform used for supporting lectures and tutoring at the Vienna University and Technology. Additionally to traditional e-learning properties like up- and download of lecture notes, videos and slides the MMT system provides the surface for a virtual modelling and simulation laboratory. Very powerful calculation software like MATLAB, Java or Octave, running in behind, allows experimenting with targeted modelling and simulation examples prepared and developed by experts. These are first of all used to support the presentation directly at the lecture and can afterwards be accessed by students given a password at home. As especially MATLAB also allows development of suitable examples dealing with mathematics, so far about ten percent of all examples treat this specific topic and are used in math lectures. It showed that especially the live experience fiddling on pre-implemented examples poses a big improvement for lectures

A Web-based Platform for E-Learning and Blended Learning in Modelling and Simulation

The Mathematics Modelling and Tools (MMT) e-learning system is a platform used for supporting lectures and tutoring at the Vienna University and Technology. Additionally to traditional e-learning properties like up- and download of lecture notes, videos and slides the MMT system provides the surface for a virtual modelling and simulation laboratory. Very powerful calculation software like MATLAB, Java or Octave, running in behind, allows experimenting with targeted modelling and simulation examples prepared and developed by experts. These are first of all used to support the presentation directly at the lecture and can afterwards be accessed by students given a password at home. As especially MATLAB also allows development of suitable examples dealing with mathematics, so far about ten percent of all examples treat this specific topic and are used in math lectures. It showed that especially the live experience fiddling on pre-implemented examples poses a big improvement for lectures

More-Space – A Simulation Tool for University Room Management

As proposed in various studies, educational facilities hold a high potential yield for improvement of room utilization. The goal of the project “MoreSpace” at Vienna University of Technology (TU Vienna) was to develop a hybrid modeling approach which helps to increase the efficiency of the university’s space utilization. Besides coupling of Discrete Event Simulation (DEVS), Agent-based (AB) methods and Cellular Automata (CA), successful deployment of such a model requires a thorough integration within the peripheral system. Which in turn leads to preconditions that have to be met, (e.g. by input - data, visualization of results, dissemination, etc.). This paper covers the methods applied for analyses of the model and the peripheral system, which enable model integration. For this is necessary to also focus on the psycho-social layer of the institution, as it is this layer that often leads to rejection of otherwise “good” solutions by the people within institutions. The paper further describes a deployment matrix which puts the simulations - models mode of operation (i.e. one time utilization for consulting, recurrent and frequent utilization) into context with met preconditions and the required depth of system integration. This allows it to estimate whether a model can be deployed as intended or not; with alternatives being either a transformation of the system, reformulation of the question(s) towards the model or - in the worst case - abortion of the deployment process. In the latter case the value of the deployment matrix lies within an early judgment of the situation saving resources that would have been spend otherwise. In addition it is possible to use these for developing alternative solutions in support of the intentional goals

Statistical methods and modelling techniques for analysing hospital readmission of discharged psychiatric patients: a systematic literature review

Background: Psychiatric services have undergone profound changes over the last decades. CEPHOS-LINK is an EU-funded study project with the aim to compare readmission of patients discharged with psychiatric diagnoses using a registry-based observational record linkage study design and to analyse differences in the findings for five different countries. A range of different approaches is available for analysis of the available data. Although there are some studies that compare selected methods for evaluating questions on readmission, there are to our knowledge no published systematic literature reviews on commonly used methods and their comparison. This work shall therefore provide an overview of the methods in use, their evolution throughout history and new developments which can further improve the research quality in this area.Methods: Based on systematic literature reviews realized in the course of the CEPHOS-LINK study, this work is a systematic evaluation of mathematical (statistical and modelling) methods used in studies examining psychiatric readmission. The starting point were 502 papers, of which 407 were analysed in detail; Methods used were assigned to one of five categories with subcategories and analysed accordingly. Our particular interest next to survival analysis and regression models is modelling and simulation.Results: As population sizes and follow-up times in the included studies varied widely, a range of methods was applied. Studies with bigger sample sizes conducted survival and regression analysis more often than studies with fewer patients did. These latter relied more on classical statistical tests (e.g. t-tests and Student Newman Keuls). Statistical strategies were often insufficiently described, posing a major problem for the evaluation. Almost all cases failed to provide and explanation of the rationale behind using certain methods.Conclusion: There is a discernible trend from classical parametric/nonparametric tests in older studies towards regression and survival analyses in more recent ones. Modelling and simulation were under-represented despite their high usability, as has been identified in other health applications and comparable research areas

Algorithms to identify COPD in health systems with and without access to ICD coding: a systematic review

Background Chronic obstructive pulmonary disease (COPD) causes significant morbidity and mortality worldwide. Estimation of incidence, prevalence and disease burden through routine insurance data is challenging because of under-diagnosis and under-treatment, particularly for early stage disease in health care systems where outpatient International Classification of Diseases (ICD) diagnoses are not collected. This poses the question of which criteria are commonly applied to identify COPD patients in claims datasets in the absence of ICD diagnoses, and which information can be used as a substitute. The aim of this systematic review is to summarize previously reported methodological approaches for the identification of COPD patients through routine data and to compile potential criteria for the identification of COPD patients if ICD codes are not available. Methods A systematic literature review was performed in Medline via PubMed and Google Scholar from January 2000 through October 2018, followed by a manual review of the included studies by at least two independent raters. Study characteristics and all identifying criteria used in the studies were systematically extracted from the publications, categorized, and compiled in evidence tables. Results In total, the systematic search yielded 151 publications. After title and abstract screening, 38 publications were included into the systematic assessment. In these studies, the most frequently used (22/38) criteria set to identify COPD patients included ICD codes, hospitalization, and ambulatory visits. Only four out of 38 studies used methods other than ICD coding. In a significant proportion of studies, the age range of the target population (33/38) and hospitalization (30/38) were provided. Ambulatory data were included in 24, physician claims in 22, and pharmaceutical data in 18 studies. Only five studies used spirometry, two used surgery and one used oxygen therapy. Conclusions A variety of different criteria is used for the identification of COPD from routine data. The most promising criteria set in data environments where ambulatory diagnosis codes are lacking is the consideration of additional illness-related information with special attention to pharmacotherapy data. Further health services research should focus on the application of more systematic internal and/or external validation approaches

Narcissism and the strategic pursuit of short-term mating : universal links across 11 world regions of the International Sexuality Description Project-2.

Previous studies have documented links between sub-clinical narcissism and the active pursuit of short-term mating strategies (e.g., unrestricted sociosexuality, marital infidelity, mate poaching). Nearly all of these investigations have relied solely on samples from Western cultures. In the current study, responses from a cross-cultural survey of 30,470 people across 53 nations spanning 11 world regions (North America, Central/South America, Northern Europe, Western Europe, Eastern Europe, Southern Europe, Middle East, Africa, Oceania, Southeast Asia, and East Asia) were used to evaluate whether narcissism (as measured by the Narcissistic Personality Inventory; NPI) was universally associated with short-term mating. Results revealed narcissism scores (including two broad factors and seven traditional facets as measured by the NPI) were functionally equivalent across cultures, reliably associating with key sexual outcomes (e.g., more active pursuit of short-term mating, intimate partner violence, and sexual aggression) and sex-related personality traits (e.g., higher extraversion and openness to experience). Whereas some features of personality (e.g., subjective well-being) were universally associated with socially adaptive facets of Narcissism (e.g., self-sufficiency), most indicators of short-term mating (e.g., unrestricted sociosexuality and marital infidelity) were universally associated with the socially maladaptive facets of narcissism (e.g., exploitativeness). Discussion addresses limitations of these cross-culturally universal findings and presents suggestions for future research into revealing the precise psychological features of narcissism that facilitate the strategic pursuit of short-term mating