The World's Changing Human Capital Stock: Multi‐State Population Projections by Educational Attainment

This research note presents the first global population projections by educational attainment using methods of multi‐state population projection. The educational composition of the population by age and sex and educational fertility differentials are estimated for 13 world regions, and alternative scenarios are presented to the year 2030. One of these scenarios assumes constant educational transition rates and the other assumes that all regions reach Northern American levels of enrollment rates by 2030. The strong momentum or, as the case may be, inertia in the transformation of the educational composition of a population, seen in the results, arises because education is mostly acquired at a young age. The sex bias in the educational composition, especially evident in some developing countries, is unlikely to disappear soon. China has made remarkable progress in improving educational enrollment and as a consequence by 2030 is expected to have more educated people of working age than Europe and Northern America together.     

Struktur und Beziehung in gruppalen Settings

Structure and relationship in group settings Working in and with groups involves always working with the relationships between the group members, even when it is not intended to influence them. The individual interactions within the group tend to develop enduring patterns, which may provide important resources of realization of the group objects, but also strong resistances. A knowledge of the inherent regularities of the communication and role structures and of the development of relationships represents an essential competence in working effectively with groups and teams.     

Numerical solution of optimal allocation problems in stratified sampling under box constraints

Modern sampling designs in survey statistics, in general, are constructed in order to optimize the accuracy of estimators such as totals, means and proportions. In stratified random sampling a variance minimal solution was introduced by Neyman and Tschuprov. However, practical constraints may lead to limitations of the domain of sampling fractions which have to be considered within the optimization process. Special attention on the complexity of numerical solutions has to be paid in cases with many strata or when the optimal allocation has to be applied repeatedly, such as in iterative solutions of stratification problems. The present article gives an overview of recent numerical algorithms which allow adequate inclusion of box constraints in the numerical optimization process. These box constraints may play an important role in statistical modeling. Furthermore, a new approach through a fixed point iteration with a finite termination property is presented.     

Modelling of a thermomechanically coupled forming process based on functional outputs from a finite element analysis and from experimental measurements

In this paper, measurements from experiments and results of a finite element analysis (FEA) are combined in order to compute accurate empirical models for the temperature distribution before a thermomechanically coupled forming process. To accomplish this, Design and Analysis of Computer Experiments (DACE) is used to separately compute models for the measurements and the functional output of the FEA. Based on a hierarchical approach, a combined model of the process is computed. In this combined modelling approach, the model for the FEA is corrected by taking into account the systematic deviations from the experimental measurements. The large number of observations based on the functional output hinders the direct computation of the DACE models due to the internal inversion of the correlation matrix. Thus, different techniques for identifying a relevant subset of the observations are proposed. The application of the resulting procedure is presented, and a statistical validation of the empirical models is performed.