Scoring Methods for Ordinal Multidimensional Forced-Choice Items

In most psychological tests and questionnaires, a test score is obtained bytaking the sum of the item scores. In virtually all cases where the test orquestionnaire contains multidimensional forced-choice items, this traditionalscoring method is also applied. We argue that the summation of scores obtained with multidimensional forced-choice items produces uninterpretabletest scores. Therefore, we propose three alternative scoring methods: a weakand a strict rank preserving scoring method, which both allow an ordinalinterpretation of test scores; and a ratio preserving scoring method, whichallows a proportional interpretation of test scores. Each proposed scoringmethod yields an index for each respondent indicating the degree to whichthe response pattern is inconsistent. Analysis of real data showed that withrespect to rank preservation, the weak and strict rank preserving methodresulted in lower inconsistency indices than the traditional scoring method;with respect to ratio preservation, the ratio preserving scoring method resulted in lower inconsistency indices than the traditional scoring method

Comparing methods for dimensionality reduction when data are density functions

Functional Data Analysis (FDA) deals with samples where a whole function is observedfor each individual. A particular case of FDA is when the observed functions are densityfunctions, that are also an example of infinite dimensional compositional data. In thiswork we compare several methods for dimensionality reduction for this particular typeof data: functional principal components analysis (PCA) with or without a previousdata transformation and multidimensional scaling (MDS) for diferent inter-densitiesdistances, one of them taking into account the compositional nature of density functions. The difeerent methods are applied to both artificial and real data (householdsincome distributions)

Dynamic graphics of parametrically linked multivariate methods used in compositional data analysis

Many multivariate methods that are apparently distinct can be linked by introducing oneor more parameters in their definition. Methods that can be linked in this way arecorrespondence analysis, unweighted or weighted logratio analysis (the latter alsoknown as "spectral mapping"), nonsymmetric correspondence analysis, principalcomponent analysis (with and without logarithmic transformation of the data) andmultidimensional scaling. In this presentation I will show how several of thesemethods, which are frequently used in compositional data analysis, may be linkedthrough parametrizations such as power transformations, linear transformations andconvex linear combinations. Since the methods of interest here all lead to visual mapsof data, a "movie" can be made where where the linking parameter is allowed to vary insmall steps: the results are recalculated "frame by frame" and one can see the smoothchange from one method to another. Several of these "movies" will be shown, giving adeeper insight into the similarities and differences between these methods

Statistical treatment of grain-size curves and empirical distributions: densities as compositions?

The preceding two editions of CoDaWork included talks on the possible considerationof densities as infinite compositions: Egozcue and D´ıaz-Barrero (2003) extended theEuclidean structure of the simplex to a Hilbert space structure of the set of densitieswithin a bounded interval, and van den Boogaart (2005) generalized this to the setof densities bounded by an arbitrary reference density. From the many variations ofthe Hilbert structures available, we work with three cases. For bounded variables, abasis derived from Legendre polynomials is used. For variables with a lower bound, westandardize them with respect to an exponential distribution and express their densitiesas coordinates in a basis derived from Laguerre polynomials. Finally, for unboundedvariables, a normal distribution is used as reference, and coordinates are obtained withrespect to a Hermite-polynomials-based basis.To get the coordinates, several approaches can be considered. A numerical accuracyproblem occurs if one estimates the coordinates directly by using discretized scalarproducts. Thus we propose to use a weighted linear regression approach, where all k-order polynomials are used as predictand variables and weights are proportional to thereference density. Finally, for the case of 2-order Hermite polinomials (normal reference)and 1-order Laguerre polinomials (exponential), one can also derive the coordinatesfrom their relationships to the classical mean and variance.Apart of these theoretical issues, this contribution focuses on the application of thistheory to two main problems in sedimentary geology: the comparison of several grainsize distributions, and the comparison among different rocks of the empirical distribution of a property measured on a batch of individual grains from the same rock orsediment, like their composition

Social network measures for "nosduocentered" networks, their predictive power on performance

Our purpose in this article is to define a network structure which is based on two egos instead of the egocentered (one ego) or the complete network (n egos). We describe the characteristics and properties for this kind of network which we call “nosduocentered network”, comparing it with complete and egocentered networks. The key point for this kind of network is that relations exist between the two main egos and all alters, but relations among others are not observed. After that, we use new social network measures adapted to the nosduocentered network, some of which are based on measures for complete networks such as degree, betweenness, closeness centrality or density, while some others are tailormade for nosduocentered networks. We specify three regression models to predict research performance of PhD students based on these social network measures for different networks such as advice, collaboration, emotional support and trust. Data used are from Slovenian PhD students and their s

Revisiting the compositional data. Some fundamental questions and new prospects in Archaeometry and Archaeology

In this paper we examine the problem of compositional data from a different startingpoint. Chemical compositional data, as used in provenance studies on archaeologicalmaterials, will be approached from the measurement theory. The results will show, in avery intuitive way that chemical data can only be treated by using the approachdeveloped for compositional data. It will be shown that compositional data analysis is aparticular case in projective geometry, when the projective coordinates are in thepositive orthant, and they have the properties of logarithmic interval metrics. Moreover,it will be shown that this approach can be extended to a very large number ofapplications, including shape analysis. This will be exemplified with a case study inarchitecture of Early Christian churches dated back to the 5th-7th centuries AD

Vertebrates Limb Geometry in the Simplex space

A novel metric comparison of the appendicular skeleton (fore and hind limb) ofdifferent vertebrates using the Compositional Data Analysis (CDA) methodologicalapproach it’s presented.355 specimens belonging in various taxa of Dinosauria (Sauropodomorpha, Theropoda,Ornithischia and Aves) and Mammalia (Prothotheria, Metatheria and Eutheria) wereanalyzed with CDA.A special focus has been put on Sauropodomorpha dinosaurs and the Aitchinsondistance has been used as a measure of disparity in limb elements proportions to infersome aspects of functional morphology

Ús de problemàtiques ètiques per l'ensenyança del codi deontològic de la psicologia: una sessió il·lustrativa

El present treball exposa el contingut i procediment d’una sessió emmarcada en un taller–seminari sobre ètica aplicada als àmbits professionals de la psicologia. L’objectiu de la mateixa és introduir als estudiants en els fonaments del Codi Deontològic, així com la reflexió d’alguns dels articles que aquest conté. El mètode expositiu consisteix en presentar i discutir tres situacions, èticament problemàtiques, a partir de les quals s’il·lustra el contingut normatiu de diferents articles que regulen l’exercici professional en l’àmbit de la psicologia

Robust Factor Analysis for Compositional Data

Factor analysis as frequent technique for multivariate data inspection is widely used also for compositional data analysis. The usual way is to use a centered logratio (clr)transformation to obtain the random vector y of dimension D. The factor model istheny = Λf + e (1)with the factors f of dimension k & D, the error term e, and the loadings matrix Λ.Using the usual model assumptions (see, e.g., Basilevsky, 1994), the factor analysismodel (1) can be written asCov(y) = ΛΛT + ψ (2)where ψ = Cov(e) has a diagonal form. The diagonal elements of ψ as well as theloadings matrix Λ are estimated from an estimation of Cov(y).Given observed clr transformed data Y as realizations of the random vectory. Outliers or deviations from the idealized model assumptions of factor analysiscan severely effect the parameter estimation. As a way out, robust estimation ofthe covariance matrix of Y will lead to robust estimates of Λ and ψ in (2), seePison et al. (2003). Well known robust covariance estimators with good statisticalproperties, like the MCD or the S-estimators (see, e.g. Maronna et al., 2006), relyon a full-rank data matrix Y which is not the case for clr transformed data (see,e.g., Aitchison, 1986).The isometric logratio (ilr) transformation (Egozcue et al., 2003) solves thissingularity problem. The data matrix Y is transformed to a matrix Z by usingan orthonormal basis of lower dimension. Using the ilr transformed data, a robustcovariance matrix C(Z) can be estimated. The result can be back-transformed tothe clr space byC(Y ) = V C(Z)V Twhere the matrix V with orthonormal columns comes from the relation betweenthe clr and the ilr transformation. Now the parameters in the model (2) can beestimated (Basilevsky, 1994) and the results have a direct interpretation since thelinks to the original variables are still preserved.The above procedure will be applied to data from geochemistry. Our specialinterest is on comparing the results with those of Reimann et al. (2002) for the Kolaproject data

Ordre de mots i estructura informativa a la llengua de Francesc Eiximenis

En aquest estudi s’examina la llengua d’alguns textos de Francesc Eiximenis (concretament, el ‘Dotzè del Crestià’ i les cartes autògrafes publicades per Martí 2002) per tal d’aprofundir en la distribució de l’estructura informativa i el consegüent ordre de mots que utilitza l’autor. L’objectiu d’aquesta comunicació és aprofundir en els casos d’ avantposició del català antic que correspon a una estructura de focalització feble (no contrastiva)

L'organització territorial de la Regió II

Aquest article presenta les pautes espacials en l'àmbit de la Regió II arran de l'elaboració de l’ estudi sobre l'estructura territorial del Bisbat de Girona realitzat per la Unitat Geogràfica de la Universitat de Girona

Innovation strategies in the presence of technology markets: evidence from spanish innovative firms

The development of markets for technology has eased the acquisition of technology and reshaped the innovation strategies of firms that we classify as producers of innovations or as imitators. Innovative activities of firms include research, acquisition of technology and downstream activities. Within an industry, firms producing innovations tend to conduct more research and downstream activities than those imitating innovations. Acquisition of technology is equally important for both. To implement innovation strategies, firms producing innovations require both the capability to scan the external environment for technology and the capability to integrate new technology. Firms producing innovations require both, while firms imitating innovations require scan capabilities only

gvSIG en España Virtual

España Virtual es un proyecto de I+D, subvencionado por el [CDTI] dentro del programa Ingenio 2010, orientado a la definición de la arquitectura, protocolos y estándares de la futura Internet 3D, con un foco especial en lo relativo a visualización 3D, inmersión en mundos virtuales, interacción entre usuarios y a la introducción de aspectos semánticos, sin dejar de lado el estudio y maduración de las tecnologías para el procesamiento masivo y almacenamiento de datos geográficos. Con una duración de cuatro años, el proyecto está liderado por Elecnor DEIMOS y cuenta con la participación del Centro Nacional de Información Geográfica (IGN/CNIG), Indra Espacio, Androme Ibérica, GeoSpatiumLab, DNX, [Prodevelop], Telefónica I+D y una decena de prestigiosos centros de investigación y universidades nacionales. En este contexto Prodevelop y el Ai2 (Instituto de Automática e Informática Industrial) entran a participar en el proyecto gracias a la Asociación gvSIG con el objetivo de impulsar el desarrollo de la visualización 3D , incorporación de nuevos estándares y mejoras en los ya existentes, así como la evolución de funcionalidades, sobre todo en el ámbito de los servicios remotos y mejoras del rendimiento a través de sistemas de cacheado de datos. También se pretende servir como plataforma para el volcado de resultados en los diferentes activos experimentales realizados por otros socios del proyecto. Para la consecución de objetivos se definen diferentes paquetes de trabajo que va a trabajar sobre nuevos tipos de datos, acceso a datos 3D multirresolución, integración de datos geográficos al vuelo, componentes de visualización 2D, 3D y 4D, algoritmia multirresolución y efectos audiovisuales inmersivos. Concretamente y dentro de estos paquetes de trabajo se presentarán los avances realizados e integrados dentro de gvSIG Desktop v2.0, y otras funcionalidades gvSIG sobre dispositivos móviles

Problemas en la implementación de algoritmos de routing de alta complejidad en dispositivos móviles: el caso Itiner@

La aparición de terminales de telefonía móvil cada vez más potentes abre un nuevo abanico de posibilidades en cuanto a usos y aplicaciones. Sin embargo, y dadas las limitaciones tanto de memoria como de CPU que tienen estos dispositivos, algunas de las aplicaciones potenciales resultan muy difíciles o incluso imposibles de llevar a la práctica. Este es el caso, por ejemplo, de aplicaciones de cálculo de rutas. En el contexto del proyecto Itiner@, un asistente para rutas turísticas completamente autónomo que debe funcionar incluso sin conexión a Internet, todos los procesos deben ejecutarse íntegramente de forma local en el dispositivo móvil. Dado que es un proyecto orientado al ocio, es importante que la experiencia del usuario sea satisfactoria, por lo que además de poder ejecutar el algoritmo de cálculo de rutas, el sistema debe hacerlo de forma rápida. En este sentido, los algoritmos recursivos habituales son demasiado costosos o lentos para su uso en Itiner@ y ha sido necesario reinventar este tipo de algoritmos en función de las limitaciones que tienen estos dispositivos. En el presente trabajo se presenta el proceso seguido y las dificultades encontradas para implementar un algoritmo recursivo de cálculo de rutas que se ejecute íntegramente en un dispositivo móvil Android de forma eficiente. Así, finalmente se llega a un algoritmo recursivo de cálculo de rutas para dispositivos móviles que se ejecuta de forma más eficiente frente a algoritmos directamente portados a dispositivos móviles. La principal contribución del trabajo es doble: por un lado ofrece algunas guías útiles al desarrollo de algoritmos más eficientes para dispositivos móviles; y por el otro, muestra un algoritmo de cálculo de rutas que funciona con un tiempo de respuesta aceptable, en un entorno exigente, como es el de las aplicaciones de turismo en móviles

Does it pay to be socially responsible? Evidence from spanish retail banking sector

This paper presents a theoretical and empirical analysis of strategic competition in retail banking when some of the financial firms are non-profit organisations that invest in social activities. Banking literature about competition is fairly large, but the strategic interaction between profit maximizing and non profit maximizers has not been extensively analysed except for Purroy and Salas (1999). In this paper, a completely different approach is taken. An adaptation of Hotelling’s two stage model of spatial competition is developed to take into account consumer perceptions respect to the two different types of financial institutions. The empirical analysis confirms that consumers take into account other features different from the price, such as social contribution or closer service to make a deposit or mortgage decision. These conclusions are of interest in the debate about a firm’s social or ethical activities. It is shown that if consumers value social activities, firms can improv