Biplots of compositional data

The singular value decomposition and its interpretation as alinear biplot has proved to be a powerful tool for analysing many formsof multivariate data. Here we adapt biplot methodology to the specifficcase of compositional data consisting of positive vectors each of whichis constrained to have unit sum. These relative variation biplots haveproperties relating to special features of compositional data: the studyof ratios, subcompositions and models of compositional relationships. Themethodology is demonstrated on a data set consisting of six-part colourcompositions in 22 abstract paintings, showing how the singular valuedecomposition can achieve an accurate biplot of the colour ratios and howpossible models interrelating the colours can be diagnosed.

Correspondence analysis of two transition tables

The case of two transition tables is considered, that is two squareasymmetric matrices of frequencies where the rows and columns of thematrices are the same objects observed at three different timepoints. Different ways of visualizing the tables, either separatelyor jointly, are examined. We generalize an existing idea where asquare matrix is descomposed into symmetric and skew-symmetric partsto two matrices, leading to a decomposition into four components: (1)average symmetric, (2) average skew-symmetric, (3) symmetricdifference from average, and (4) skew-symmetric difference fromaverage. The method is illustrated with an artificial example and anexample using real data from a study of changing values over threegenerations.

Pitfalls to avoid when measuring institutions: Is "Doing Business" damaging business?

Over recent years, both governments and international aid organizations have been devoting large amounts of resources to simplifying the procedures for setting up and formalizing firms. Many of these actions have focused on reducing the initial costs of setting up the firm, disregarding the more important role of business registers as a source of reliable information for judges, government departments and, above all, other firms. This reliable information is essential for reducing transaction costs in future dealings with all sorts of economic agents, both public and private. The priorities of reform policies should therefore be thoroughly reviewed, stressing the value of the legal institutions rather than trivializing them as is often the case.

Hypernormal densities

We propose a new family of density functions that possess both flexibilityand closed form expressions for moments and anti-derivatives, makingthem particularly appealing for applications. We illustrate its usefulnessby applying our new family to obtain density forecasts of U.S. inflation.Our methods generate forecasts that improve on standard methods based on AR-ARCH models relying on normal or Student's t-distributional assumptions.

Country effects in ISSP-1993 environmental data: Comparison of SEM approaches

Structural equation models (SEM) are commonly used to analyze the relationship between variables some of which may be latent, such as individual ``attitude'' to and ``behavior'' concerning specific issues. A number of difficulties arise when we want to compare a large number of groups, each with large sample size, and the manifest variables are distinctly non-normally distributed. Using an specific data set, we evaluate the appropriateness of the following alternative SEM approaches: multiple group versus MIMIC models, continuous versus ordinal variables estimation methods, and normal theory versus non-normal estimation methods. The approaches are applied to the ISSP-1993 Environmental data set, with the purpose of exploring variation in the mean level of variables of ``attitude'' to and ``behavior''concerning environmental issues and their mutual relationship across countries. Issues of both theoretical and practical relevance arise in the course of this application.

Generating global brand equity through corporate social responsibility to key stakeholders

In this paper we argue that corporate social responsibility (CSR) to various stakeholders(customers, shareholders, employees, suppliers, and community) has a positive effect on globalbrand equity (BE). In addition, policies aimed at satisfying community interests help reinforcecredibility to social responsible polices with other stakeholders. We test these theoreticalcontentions using panel data comprised of 57 global brands originating from 10 countries (USA,Japan, South Korea, France, UK, Italy, Germany, Finland, Switzerland and the Netherlands) forthe period 2002 to 2008. Our findings show that CSR to each of the stakeholder groups has apositive impact on global BE. In addition, global brands that follow local social responsibilitypolicies over communities obtain strong positive benefits in terms of the generation of BE, as itenhances the positive effects of CSR to other stakeholders, particularly to customers. Therefore,for managers of global brands it is particularly productive for generating brand value to combineglobal strategies with the satisfaction of the interests of local communities.

Inequalities for a new data-based method for selecting nonparametric density estimates

We continue the development of a method for the selection of a bandwidth or a number of design parameters in density estimation. We provideexplicit non-asymptotic density-free inequalities that relate the $L_1$ error of the selected estimate with that of the best possible estimate,and study in particular the connection between the richness of the classof density estimates and the performance bound. For example, our methodallows one to pick the bandwidth and kernel order in the kernel estimatesimultaneously and still assure that for {\it all densities}, the $L_1$error of the corresponding kernel estimate is not larger than aboutthree times the error of the estimate with the optimal smoothing factor and kernel plus a constant times $\sqrt{\log n/n}$, where $n$ is the sample size, and the constant only depends on the complexity of the family of kernels used in the estimate. Further applications include multivariate kernel estimates, transformed kernel estimates, and variablekernel estimates.

A note on the Malliavin differentiability of the Heston volatility

We show that the Heston volatility or equivalently the Cox-Ingersoll-Ross process is Malliavin differentiable and give an explicit expression for the derivative. This result assures the applicability of Malliavin calculus in the framework of the Heston stochastic volatility model and the Cox-Ingersoll-Ross model for interest rates.

Tying up the loose ends in simple correspondence analysis

Although correspondence analysis is now widely available in statistical software packages and applied in a variety of contexts, notably the social and environmental sciences, there are still some misconceptions about this method as well as unresolved issues which remain controversial to this day. In this paper we hope to settle these matters, namely (i) the way CA measures variance in a two-way table and how to compare variances between tables of different sizes, (ii) the influence, or rather lack of influence, of outliers in the usual CA maps, (iii) the scaling issue and the biplot interpretation of maps,(iv) whether or not to rotate a solution, and (v) statistical significance of results.

Subset correspondence analysis: Visualizing relationships among a selected set of response categories from a questionnaire survey

It is shown how correspondence analysis may be applied to a subset of response categories from a questionnaire survey, for example the subset of undecided responses or the subset of responses for a particular category. The idea is to maintain the original relative frequencies of the categories and not re-express them relative to totals within the subset, as would normally be done in a regular correspondence analysis of the subset. Furthermore, the masses and chi-square metric assigned to the data subset are the same as those in the correspondence analysis of the whole data set. This variant of the method, called Subset Correspondence Analysis, is illustrated on data from the ISSP survey on Family and Changing Gender Roles.

On the concept of optimality interval

The approximants to regular continued fractions constitute `best approximations' to the numbers they converge to in two ways known as of the first and the second kind.This property of continued fractions provides a solution to Gosper's problem of the batting average: if the batting average of a baseball player is 0.334, what is the minimum number of times he has been at bat? In this paper, we tackle somehow the inverse question: given a rational number P/Q, what is the set of all numbers for which P/Q is a `best approximation' of one or the other kind? We prove that inboth cases these `Optimality Sets' are intervals and we give aprecise description of their endpoints.

Assessing the wellbeing of the Spanish elderly

In this paper we use a variety of data sources, both micro and macro, time series, crosssection, and panel data to provide an empirical evaluation of the current level of economicwellbeing of the Spanish elderly, and of its determinants. We focus, in particular on the role played by the pension system and its generosity in terms of minimum pension supplements and non-contributive pensions. In an IV context, we find that actual Social Security benefits contribute substantially to explain income and consumption poverty levels and trends of low income and consumption percentiles. Thus we offer support to previous evidence for Spain emphasizing the role of minimum benefit policies.

Weighted Euclidean biplots

We construct a weighted Euclidean distance that approximates any distance or dissimilarity measure between individuals that is based on a rectangular cases-by-variables data matrix. In contrast to regular multidimensional scaling methods for dissimilarity data, the method leads to biplots of individuals and variables while preserving all the good properties of dimension-reduction methods that are based on the singular-value decomposition. The main benefits are the decomposition of variance into components along principal axes, which provide the numerical diagnostics known as contributions, and the estimation of nonnegative weights for each variable. The idea is inspired by the distance functions used in correspondence analysis and in principal component analysis of standardized data, where the normalizations inherent in the distances can be considered as differential weighting of the variables. In weighted Euclidean biplots we allow these weights to be unknown parameters, which are estimated from the data to maximize the fit to the chosen distances or dissimilarities. These weights are estimated using a majorization algorithm. Once this extra weight-estimation step is accomplished, the procedure follows the classical path in decomposing the matrix and displaying its rows and columns in biplots.

Nets: Network estimation for time series

This work proposes novel network analysis techniques for multivariate time series.We define the network of a multivariate time series as a graph where verticesdenote the components of the process and edges denote non zero long run partialcorrelations. We then introduce a two step LASSO procedure, called NETS, toestimate high dimensional sparse Long Run Partial Correlation networks. This approachis based on a VAR approximation of the process and allows to decomposethe long run linkages into the contribution of the dynamic and contemporaneousdependence relations of the system. The large sample properties of the estimatorare analysed and we establish conditions for consistent selection and estimation ofthe non zero long run partial correlations. The methodology is illustrated with anapplication to a panel of U.S. bluechips.

Valoriser le géopatrimoine par la médiation indirecte et la visualisation des objets géomorphologiques

Résumé: Valoriser le géopatrimoine par la médiation indirecte et la visualisation des objets géomorphologiques Le géopatrimoine regroupe des objets géologiques lato sensu auxquels certaines valeurs sont attribuées, en fonction de leur intérêt pour la science, de leur rareté, de leurs particularités culturelles ou écologiques, etc. Valoriser le géopatrimoine signifie avant tout faire partager cette approche aux non-spécialistes, en expliquant ce qui fait la valeur de ces objets. Cette valorisation peut s'effectuer, entre autres, sous la forme d'une activité touristique et contribuer ainsi au développement régional. Faire comprendre l'origine, la singularité et la valeur des formes du relief implique le recours à une communication éducative, désignée par le terme de médiation. Les implications de la dimension éducative du processus, comme la prise en compte des connaissances et attentes du public, la création d'un environnement favorable à l'apprentissage ou l'attractivité du contenu, sont souvent négligées. Du point de vue conceptuel, un modèle de la médiation indirecte (c'est-à-dire au moyen de supports médiatiques) a été proposé et appliqué au développement empirique de produits de médiation et à leur évaluation. Ce modèle ne garantit pas la réussite de la communication éducative, mais contribue à créer un cadre favorable au processus. De plus, plusieurs lignes directrices pour le choix du type de média et sa mise en forme ont été définies sur la base d'une compilation de résultats de la psychologie cognitive sur l'usage des médias pour l'apprentissage. Des méthodes qualitatives et quantitatives variées ont été mobilisées : enquêtes par questionnaire ex situ et in situ, auprès des visiteurs de géomorphosites de montagne, réalisation de médias interactifs testés ensuite auprès de divers publics (parcours enregistré, pré- et post-questionnaires) et entretiens collectifs. Les résultats obtenus éclairent divers aspects de la problématique. L'étude du public a montré, par exemple, que le géotourisme possède un réel public parmi les visiteurs des sites de montagnes : trois-quarts d'entre eux expriment de l'intérêt pour des explications sur la géologie et l'évolution du paysage. Cette thèse a exploré ces aspects liés au processus d'apprentissage en se focalisant sur les médias visuels, surtout interactifs. La plupart des médias visuels couramment utilisés en géomorphologie ont été considérés. Le développement de versions interactives de ces médias sous forme d'applications web a fourni un aperçu concret des possibilités des nouvelles technologies. Les utilisateurs apprécient en particulier a richesse du contenu, le haut degré d'interactivité et la variété de ces applications. De tels médias incitent à visiter le site naturel et semblent aussi répondre aux intérêts de publics variés. Abstract: Geoheritage promotion through non-personal interpretation and visualisation of geomorphological features Geoheritage concerns all geological features lato sensu to which some values are attributed, according to their scientific interest, their rarity, their cultural or ecological dimensions, etc. Geoheritage promotion implies sharing this point of view with non-specialists, explaining what gives value to those objects. Geotourism is one of the many ways to achieve geoheritage promotion, while contributing also to regional development. In order to make non-specialists understand the origin, the specificity and the value of landforms, educational communication is needed, that is called interpretation (French: médiation). This education dimension has several, and often neglected, implications, like taking into account public's knowledge and expectations, creating a favourable learning environment, attractive design, etc. From the conceptual point of view, a model for non-personal interpretation has been proposed and applied for the empirical development and for the assessment of interpretive products. This model does not guarantee success of educational communication, but help creating a favourable environment for this process. Moreover, some guidelines were defined from a compilation of several results of cognitive psychology on media use for learning. They guide the choice of the kind of media and its design. Several qualitative and quantitative methods were applied: survey questionnaires ex situ and in situ by mountain geomorphosites visitors, interactive medias developed and then tested by different kinds of users (with usertracking, pre- and post-survey questionnaires), group interviews. The results answered different aspects of the research questions. Visitor surveys revealed for example that geotourism could attract many visitors of mountain areas: three quarters of them say they are interested in getting explanations about geology and landscape (in particular its dynamic dimensions). This thesis examined those aspects with a focus on visual medias, both statics and interactive. Most of currently used medias in geomorphology were considered. Interactive versions of those medias were developed in web applications; they gave a concrete overview on the opportunities that new technologies offer. The content richness, the high interaction level and the diversity of the applications are the most liked aspects by the users. Such medias drive to visit the natural site and seem to correspond to the interests of various kinds of publics. Zusammenfassung: Aufwertung des erdwissenschaftlichen Erbes durch mediale Vermittlung und Visualisierung von geomorphologischen Objekten Das erdwissenschaftliche Erbe besteht aus geologischen Gegebenheiten lato sensu, denen entsprechend ihrer Bedeutung für die Wissenschaft, ihrer Seltenheit, ihrer kulturellen oder ökologischen Besonderheiten usw. bestimmte Werte zugeordnet werden. Das erdwissenschaftliche Erbe aufzuwerten bedeutet in erster Linie, diesen Ansatz Nichtspezialisten näher zu bringen, indem ihnen erklärt wird, was den Wert dieser Gegebenheiten ausmacht. Dies kann etwa im Rahmen eines touristischen Angebots geschehen und so die regionale Entwicklung unterstützen. Um Entstehung, Besonderheit und Wert von Geländeformen verständlich zu machen, wird eine pädagogische Kommunikationsform verwendet, die als mediale Vermittlung (franz. médiation) bezeichnet wird. Die Bedeutung der pädagogischen Dimension des Vermittlungsprozesses wie etwa der Einbezug des Wissens und der Erwartungen des Publikums, die Gestaltung eines positiven Lernklimas oder die Attraktivität des Inhalts wird oft vernachlässigt. Auf konzeptueller Ebene wurde ein Modell der indirekten Interpretation erarbeitet (d. h. anhand von Medien), das bei der empirischen Entwicklung der Interpretationsprodukte und ihrer Evaluation Anwendung fand. Dieses Modell garantiert zwar nicht den Erfolg der pädagogischen Kommunikation. Es trägt aber dazu bei, einen für den Prozess günstigen Kontext zu schaffen. Des Weiteren wurden mehrere Richtlinien für die Wahl des Medientyps und dessen Ausgestaltung anhand einer Zusammenstellung von Resultaten der kognitiven Psychologie über den Gebrauch von Medien in Lernprozessen definiert. Es wurden verschiedene qualitative und quantitative Methoden eingesetzt: Befragung mittels Fragebogen der Besucher von geomorphologischen Geotopen im Gebirge - ex situ und in situ -, Erarbeitung von interaktiven Medien, die anschliessend anhand verschiedener Zielgruppen gestestet wurden (Aufnahme des Besuchparcours, Vor- und Nachfragebögen) sowie kollektive Interviews. Die Ergebnisse geben Aufschluss zu verschiedenen Aspekten der Fragestellung. Die Befragung des Publikums hat zum Beispiel deutlich gemacht, dass der Geotourismus unter den Besuchern von Berggebieten tatsächlich auf eine Nachfrage stösst: drei Viertel von ihnen zeigen ein Interesse für Erläuterungen zur Geologie und der Landschaftsentwicklung. Die vorliegende Doktorarbeit hat die genannten Aspekte der Lernprozesse untersucht, wobei der Fokus auf visuellen, insbesondere interaktiven Medien lag. Die meisten gängigen visuellen Medien der Geomorphologie wurden berücksichtigt. Die Entwicklung von interaktiven Versionen dieser Medien in Form von Web-Anwendungen hat die Möglichkeiten der neuen Technologien veranschaulicht. Die Benutzer schätzten insbesondere die Vielfalt des Inhalts, die hohe Interaktivität und die Diversität dieser Anwendungen. Solche Medien laden dazu ein, ein Naturgebiet zu besuchen und scheinen den Interessen der verschiedenen Publikumsgruppen entgegenzukommen.