Compositional hypotheses of subcompositional stability and specific perturbation change and their testing

In standard multivariate statistical analysis common hypotheses of interest concern changes in mean vectors and subvectors. In compositional data analysis it is now well established that compositional change is most readily described in terms of the simplicial operation of perturbation and that subcompositions replace the marginal concept of subvectors. To motivate the statistical developments of this paper we present two challenging compositional problems from food production processes. Against this background the relevance of perturbations and subcompositions can be clearly seen. Moreover we can identify a number of hypotheses of interest involving the specification of particular perturbations or differences between perturbations and also hypotheses of subcompositional stability. We identify the two problems as being the counterpart of the analysis of paired comparison or split plot experiments and of separate sample comparative experiments in the jargon of standard multivariate analysis. We then develop appropriate estimation and testing procedures for a complete lattice of relevant compositional hypotheses

El plan para la lengua y la cohesión social (Plan LIC) del gobierno de Cataluña = The language and social cohesion plan from the Government of Catalonia

El Plan para la Lengua y la Cohesión Social es un proyecto estratégico del gobierno de Cataluña para la mejora de la educación. Sus tres objetivos fundamentales son: consolidar la lengua catalana, fomentar la educación intercultural y promover la igualdad de oportunidades. Este artículo explica el origen y las finalidades del Plan, sus ejes estratégicos y emblemáticos, y los contextos socioculturales y políticos en los que se plantea y desarrolla