Conditional compositional biplots: theory and application

The biplot has proved to be a powerful descriptive and analytical tool in many areas of applications of statistics. For compositional data the necessary theoretical adaptation has been provided, with illustrative applications, by Aitchison (1990) and Aitchison and Greenacre (2002). These papers were restricted to the interpretation of simple compositional data sets. In many situations the problem has to be described in some form of conditional modelling. For example, in a clinical trial where interest is in how patients’ steroid metabolite compositions may change as a result of different treatment regimes, interest is in relating the compositions after treatment to the compositions before treatment and the nature of the treatments applied. To study this through a biplot technique requires the development of some form of conditional compositional biplot. This is the purpose of this paper. We choose as a motivating application an analysis of the 1992 US President ial Election, where interest may be in how the three-part composition, the percentage division among the three candidates - Bush, Clinton and Perot - of the presidential vote in each state, depends on the ethnic composition and on the urban-rural composition of the state. The methodology of conditional compositional biplots is first developed and a detailed interpretation of the 1992 US Presidential Election provided. We use a second application involving the conditional variability of tektite mineral compositions with respect to major oxide compositions to demonstrate some hazards of simplistic interpretation of biplots. Finally we conjecture on further possible applications of conditional compositional biplots

Monitoring procedures in environmental geochemistry and compositional data analysis theory

First discussion on compositional data analysis is attributable to Karl Pearson, in 1897. However, notwithstanding the recent developments on algebraic structure of the simplex, more than twenty years after Aitchison’s idea of log-transformations of closed data, scientific literature is again full of statistical treatments of this type of data by using traditional methodologies. This is particularly true in environmental geochemistry where besides the problem of the closure, the spatial structure (dependence) of the data have to be considered. In this work we propose the use of log-contrast values, obtained by a simplicial principal component analysis, as LQGLFDWRUV of given environmental conditions. The investigation of the log-constrast frequency distributions allows pointing out the statistical laws able to generate the values and to govern their variability. The changes, if compared, for example, with the mean values of the random variables assumed as models, or other reference parameters, allow defining monitors to be used to assess the extent of possible environmental contamination. Case study on running and ground waters from Chiavenna Valley (Northern Italy) by using Na+, K+, Ca2+, Mg2+, HCO3-, SO4 2- and Cl- concentrations will be illustrated

Inside the competences evaluation, the stress tolerance of students. An empirical study based on conservation of resources theory

Competence development is considered a preventive strategy of burnout. At an organizational context some competences could be linked as precursors or consequences. In self-assessment of competence development, students perceive stress tolerance as a priority competence to ameliorate. Moreover employers and recruitment consultants agree that this is a new authentic challenge for organizations. The main reasons of this result are debated, this study should consider the importance of competence development from a holistic point of view. In addition it considers the exploration of the relationship between stress tolerance and competence development, according to Conservation Resources (COR) theory (Hobfoll 1988, 1989, 1998, 2004) where the resource loss is considered the principal component in the stress process

Predicting adolescent perpetration in cyberbullying : An aplication of the theory of planned behavior

Resumen tomado de la publicaci??n

Youth sport dropout from the achievement goal theory. 'El abandono del deporte en j??venes desde la Teor??a de las metas de logro'

Resumen tomado de la publicaci??n. Resumen tambi??n en ingl??s

TU Graz: Course: 707.000 Web Science and Web Technology: Lecture 3: Network Theory and Terminology

In this class, we will discuss network theory fundamentals, including concepts such as diameter, distance, clustering coefficient and others. We will also discuss different types of networks, such as scale-free networks, random networks etc. Readings: Graph structure in the Web, A. Broder and R. Kumar and F. Maghoul and P. Raghavan and S. Rajagopalan and R. Stata and A. Tomkins and J. Wiener Computer Networks 33 309--320 (2000) [Web link, Alternative Link] Optional: The Structure and Function of Complex Networks, M.E.J. Newman, SIAM Review 45 167--256 (2003) [Web link] Original course at: http://kmi.tugraz.at/staff/markus/courses/SS2008/707.000_web-science/

Statistical Distribution Theory

Exercises and solutions for a second year statistics course.

Complex Variable Theory

Notes, exercises, exam questions and solutions for a second year complex variable course.

Introduction to Group Theory

Exam questions and solutions for a second year group theory course.

Measure Theory

Exam questions, exercises and solutions for a measure theory course.

Number Theory

Lecture notes for a number theory course

Theory of Numbers

Exercises, exams and solutions for a third year maths course.

Estado del arte acerca de las discusiones teóricas sobre soberanía del estado y la unión monetaria europea entre 2002 - 2010. Caso: El Reino Unido

El siguiente trabajo tiene como objetivo el Estado del arte acerca de la discusión teórica de la repercusión de la unión monetaria en el principio de soberanía nacional, específicamente el caso de Gran Bretaña, ya que éste es el único país que expresa abiertamente su incertidumbre referente a algún tipo de amenaza a su soberanía. Se pretende precisar si existen criterios concluyentes, o por el contrario determinar si no hay claridad con respecto al futuro de Gran Bretaña como miembro de la unión monetaria.A partir de lo anterior, se plantean como sus propósitos particulares construir un marco conceptual acerca de la soberanía. Este estado del arte se inicia con citas de los principales autores de finales de siglo XVII y XVIII y finaliza con las posiciones conceptuales aportadas por los teóricos modernos motivados por el nacimiento de la Unión Europea como un nuevo orden político. Entre las que se citan: modelo centrico o intergubernamentalista, modelo de gobernabilidad multi-nivel, modelo neo-funcionalista y modelo federalista. Igualmente, el trabajo, busca desarrollar un marco conceptual sobre Unión Monetaria y su evolución hasta el logro de una unión fiscal europea en el periodo de 1950-2010, establecer las relaciones teóricas entre Soberanía del Estado y Unión Monetaria y por último realizar un análisis histórico hermenéutico de la Unión Europea y el caso del Reino Unido de acuerdo a las relaciones evidenciadas en los apartados teóricos entre soberanía del Estado y Unión Monetaria.