Bounds on dispersion of order statistics based on dependent symmetrically distributed random variables

We consider a fixed number of arbitrarily dependent random variables with a common symmetric marginal distribution. For each order statistic based on the variables, we determine a common optimal bound, dependent in a simple way on the sample size and number of order statistics, for various measures of dispersion of the order statistics, expressed in terms of the same dispersion measure of the single original variable. The dispersion measures are connected with the notion of M-functional of a random variable location with respect to a symmetric and convex loss function. The measure is defined as the expected loss paid for the discrepancy between the M-functional and the variable. The most popular examples are the median absolute deviation and variance.     

Interval estimation of parameters in an unbalanced mixed two-fold nested classification-the last-stage uniformity case

A procedure for the construction of exact simultaneous confidence intervals on functions of the fixed-effects parameters and on functions of variance components in an unbalanced, mixed, two-fold nested classification is introduced. The type of model considered in this paper enables the construction of such intervals to be based on the corresponding ANOVA table using its mean square ratios.     

Simultaneous choice of time points and the block design in the growth curve model

The aim of this paper is to consider the optimality in the growth curve model with respect to two aspects: time and the block design and to show some relations between information functions for different designs. The A-, D- and E- optimality are studied.     

Optimal designs under a multivariate linear model with additional nuisance parameters

The purpose of this paper is to characterize optimal designs under a multivariate linear model with additional nuisance parameters. We give relationships between optimality of designs in univariate models and in their multivariate extensions with known and partially known dispersion matrices.     

Polish complementary schools in Iceland and England

Since 2004, the opening of labour markets has spurred a considerable number of Poles to emigrate e.g. to Iceland and England. Families with school age children have had the challenge of adapting to foreign environments and school systems. Polish complementary schools have played an important, albeit ambivalent, role in this process. Through focus group interviews with students in Polish complementary schools in one city in Iceland and one city in England, we gathered information showing common threads between both schools as well as differences in their structure, role, origin and the student motivation to participate. Saturday schools abroad are considered to be less demanding by students than regular schools back in Poland, but more so than regular Icelandic/English schools, which many rate as unsatisfactory in terms of their academic development. The tension between the need for freedom and high expectations for the academic outcome of education influences student opinions, not only about schooling, but also about the host society.     

Area-based partnerships in rural Poland: The post-accession experience

The paper examines the characteristics of area-based partnerships in rural Poland. It is based on the study of partnerships created after the accession to the European Union in 2004. Partnership structures have been rapidly adopted in rural Poland due to opportunities provided by the LEADER+ Pilot Programme. However, the research showed that partnerships are frequently subject to elite domination by local authorities and hence fail to fully engage a range of community and private sector actors. Funding rules for LEADER, most notably the condition that money will only be paid on the completion of projects, has been particularly significant in perpetuating the domination of partnerships by organisations with existing access to financial and human capital. Hence funding arrangements can undermine the ability of Polish partnerships to operate in ways which harness the endogenous capacities of local communities. To date power differentials between notional ‘partners’ have been experienced to a greater extent than in advanced liberal democracies. The research found that overt domination of partnership structures by state agencies limited the possibilities for community led development initiative in rural Poland.     

A constrained optimum experimental design problem for model discrimination with a continuously varying factor

We present the theoretical background and the numerical procedure for calculating optimum experimental designs for non-linear model discrimination in the presence of constraints. The design support points consist of two kinds of factors: a continuous function of time and discrete levels of other quantitative factors. That is, some of the experimental conditions are allowed to continually vary during the experimental run. We implement the theory in a chemical kinetic model discrimination problem.     

Regional indicators in social planning

Social planning requires the application of indicators as instruments for the measuring of phenomena and processes, for monitoring, and for evaluation. The spatial polarization of socio-economic growth together with individual regional features lead to the emergence of considerable differentiations and disparities. Many of them are perceived in social consciousness as ineqities which require equalization, e.g. living conditions in the sphere of satisfaction of elementary social needs. In order to be effective, social planning must take account of, among other things, the hierarchy of centres and institutions for satisfying social needs, which most frequently amounts to 3 ranks of service (local, regional, national). Each region possesses its own central area (centre) and peripheral area (periphery). The differences between them amount to the emergence of changing socio-economic structures together with a changing dynamic in development and rate of economic growth. The gradation of social needs comprised in social planning corresponds to the hierarchy of service centres. Regional indicators serve the analysis of inter-regional disparities as related to the external “model system”, and are most frequently national means, as well as of intraregional disparities as related to the internal “model system”, which are represented by means of separate regions. The selection of an appropriate set of regional indicators requires a lot of attention. The paper points up the danger of the application of inappropriate regional indicators, which cause distortions in the spatial picture of differentiations.