scholarly journals Selection of the method of linear ordering using the example of assessing the level of socio-economic development of European Union countries

2020 ◽  
Vol 64 (7) ◽  
pp. 118-129
Author(s):  
Agnieszka Sompolska-Rzechuła

The aim of the article is to present the issues of choosing the optimal procedure for the linear ordering of objects and assessing the correctness of the selected methods of the linear ordering. The goal was achieved by creating linear ordering of objects using various methods for normalizing the value of diagnostic features. An aggregate measure based on various properties of the synthetic feature was used to select the optimal ordering, among others, the compatibility of the mapping, the correlation of the synthetic line variable with diagnostic variables, the rank correlation of the synthetic variable with diagnostic variables and the variability of the synthetic variable. The study was conducted based on the example of data concerning 28 European Union countries according to the level of socio-economic development in the context of sustainable development concerning society, economy and the environment. The linear ordering of countries using the quotient transformation with an arithmetic mean turned out to be the most correct ordering

2017 ◽  
Vol 62 (12) ◽  
pp. 80-94
Author(s):  
Danuta Michoń

The article aims to evaluate the degree of diversification of socio-economic development of voivodships in 2005 and 2015 in the context of cohesion policy. This policy focuses on reducing the distance between some European Union countries and the most developed EU members, as well as on decreasing national disparities in development. The analysis was conducted on the basis of the CSO data, using the Hellwig’s method of linear ordering. The selected diagnostic variables relate to three dimensions of cohesion policy: economic, social and territorial. The applied method enabled to assess social and economic situation in Poland, indicating voivodships with high development potential and also those facing difficulties. The research confirmed persistent differences in the development level between the examined territorial units


2020 ◽  
pp. 1-22
Author(s):  
Małgorzata Stec ◽  
Mariola Grzebyk

Socio-economic development and the concept of the tourist function of areas are multidimensional socio-economic phenomena, the diagnosis of which is particularly important in various comparative studies regarding EU countries. Measurement based on GDP per capita, widely used in the assessment of the socio-economic level of development of countries, does not include many aspects of this development in its construction. Similarly, the level of development of the tourist function cannot be assessed by means of one universal measure. Both categories should be treated as complex phenomena, which are influenced by many different factors. The aim of this article is to compare and statistically assess two complex phenomena, i.e. level of socio-economic development and level of tourist function development in 28 European Union countries. Linear ordering of EU countries was carried out using the TOPSIS method on the basis of diagnostic variables determining individual complex phenomena in 2016. Values of the overall synthetic measure were also indicated, taking into account all diagnostic variables. Rankings of EU countries were built and four typological groups of countries with high, medium-high, medium-low and low level of development were created. Discriminant analysis indicated variables that have the greatest impact on the classification of EU countries in terms of the level of socio-economic development and level of tourism function development. A linear econometric model with synthetic variables was also constructed, and it was determined which of the synthetic measures is relatively more important in describing the shaping of the overall synthetic measure. The quality of the work is increased by the use of many different statistical and econometric methods, as well as methods from the field of Multidimensional Comparative Analysis. Thanks to this, it is possible not only to deepen the assessment of the studied phenomena, but also to obtain more objective results. Conclusions from the research may be a basis for proper management in the field of socio-economic development as well as for the development of the tourist function of EU countries. They can also be used for appropriate allocation of financial support for countries within the framework of the EU cohesion policy and in determining the tourist specialization of countries.


2021 ◽  
Vol 65 (1) ◽  
pp. 74-89
Author(s):  
Patrycja Wieczorek ◽  
◽  
Eliza Frejtag-Mika ◽  

The main issue of multivariate comparative analysis is the normalization of variables. The literature offers various procedures for data normalization, and therefore the researcher has to choose between them. The article presents and discusses the most commonly used normalizing formulas. The article assesses the impact of data normalization procedures on the results of the linear ordering of European Union countries in terms of the level of ICT usage in enterprises. A hypothesis was formulated that the method of data normalization influenced the position of the objects in the ranking. The study is based on statistical data from Eurostat for the year 2018. Based on the selected diagnostic variables, values for a synthetic measure have been determined for individual countries. The synthetic measure was calculated according to the model-less method of linear ordering using four types of normalization. The method used in the research allowed the creation of rankings for the countries. The compliance of the orders thus obtained was compared using the Spearman’s coefficient of range correlation and the measure of similarity of rankings. As the study shows, the choice of normalization formula influences the result of linear ordering, which is not due to any change in the data structure. It was proven that the quotient transformation with the normalization base equal to the maximum value allowed the most similar ranking to be obtained of the examined objects in relation to the Rother rankings. The results of the study show that Denmark, Sweden and Finland had the highest positions in each ranking while Bulgaria, Romania and Latvia had the lowest positions.


Author(s):  
Maciej Oesterreich ◽  
Joanna Perzyńska ◽  
Emilia Bareja-Kaczmarek

The article presents the problem of local socio-economic development. An illustration of theoretical considerations is an empirical study on evaluation of the West Pomeranian Voivodship districts' development since Poland's accession to the European Union. In the research, a taxonomic measure of development was used to assess the level and rate of districts' development. The empirical study was carried out in four main stages: collection of initial characteristics, reduction of the initial set of diagnostic features (to ensure their highest diagnostic value), calculations of synthetic measures using the modified TOPSIS procedure and construction of rankings of districts on that basis, creation of typological groups of districts characterized by a similar level and the pace of development. The study showed the existence of large diversification of economic development of the surveyed districts. The highest level of socio-economic development in both: 2004 and 2017 was characteristic for the Kamieński district and the lowest level of development in 2004 was observed in the Wałecki district and in 2017 in the Gryficki district. The highest pace of changes in the level of socio-economic development between 2004 and 2017 was recorded for the Białogardzki district, while the lowest for the Świdwiński district.


2016 ◽  
Vol 8 (4) ◽  
pp. 75-85 ◽  
Author(s):  
Artur Czech ◽  
Jerzy Lewczuk ◽  
Artur Bołtromiuk

Abstract Transport is considered a basis for socio-economic development. It is closely connected with the process of movement of products and humans. The main aim of the paper is to investigate the influence of different order normalization methods in the synthetic measure construction implemented in the assessment of the development of European Union member states in the area of logistic, especially transportation system. Moreover, the article attempts to investigate the influence of such methods on linear ordering in multi-criteria taxonomic approach. The source of information in the research is the data drawn from Eurostat, the statistical office of the European Union. The main method in this study is the order synthetic measure constructed with Weber median in different forms due to implemented normalization methods. The main result of the carried out analysis indicated that the development level of three main branches of a transportation system correlates with the socio-economic development of particular member states. Furthermore, the assessment process based on the synthetic measure construction can lead to differences in linear ordering due to the implemented normalization methods. The research on the transport development can bring a better understanding of the socio-economic development of particular areas of the European Union. Hence, the results can be helpful to European policy makers for the allocation of support funds.


2012 ◽  
Vol 3 (3) ◽  
pp. 5-19
Author(s):  
Marta Kuc

This paper proposes the use of synthetic variable to examine differences in the standard of living in the EU countries. The synthetic variable allows to replace the whole set of variables into one aggregated variable. This variable is the basis for organizing and grouping countries in terms of standard of living. The subject of empirical analysis are 24 member states of the European Union in 1995-2010. The analysis of synthetic variable reveals that there are significant disparities between countries in the field of overall socio-economic development. The analysis show favorable situation in Ireland and very unfavorable conditions in Romania, Bulgaria and the Baltic countries.


2020 ◽  
Vol 64 (7) ◽  
pp. 102-117
Author(s):  
Agnieszka Sompolska-Rzechuła

The article analyses the level of propensity to use the Internet in 28 countries of the European Union in 2010 and 2019 and assesses its dynamics of changes in this period. For this purpose, information available in the databases of Eurostat and the World Bank regarding the ways in which the Internet was used by citizens and households. The study omitted issues related to the commercial use of the Internet potential by enterprises. For individual years, taxonomic synthetic measures were constructed based on a set of diagnostic features, using the TOPSIS method. These measures determine, respectively: the level of willingness to use the network by citizens and households of individual EU countries as well as the rate of changes in the analysed period. The research shows that the highest propensity to use the Internet was characteristic of citizens of Northern European countries and the lowest was in Southern Europe. The R environment and the Statistica package were used for the calculations.


Author(s):  
Aleksandra Łuczak ◽  
Feliks Wysocki

The purpose of this paper is to compare the social and economic development statuses of European Union countries in 2005 and 2016. The study relied on bilinear ordering with the use of positional TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) approach. By applying these methods, it was possible to determine the development levels in social and economic fields, and in socio-economic development levels (six levels: from very low to very high). Furthermore, four main types of development status were identified: socially and economically beneficial; economically beneficial; socially beneficial; and socially and economically less beneficial. Central and Eastern European countries (including Poland in particular) witnessed a clear improvement in their development statuses in 2016 compared to 2005. In turn, countries experiencing clear deterioration primarily include Greece. In both years under consideration, Denmark and Luxembourg were the only countries to maintain a very high level of socio-economic development accompanied by a socially and economically beneficial development status. Eurostat data provided the empirical basis for this study.


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