Regional development is a complex economic category and a commonly used term today, yet it is vaguely defined and, therefore, interpreted implicitly and understood intuitively. From a statistical point of view, this concept, on account of its imprecision and ambiguity, is a kind of multidimensional characteristic which may be measured, though not conclusively. Due to the lack of a universal set of diagnostic variables adopted in taxonomic analyses, the quantitative approach to the examined research area, which is in most cases presented descriptively, poses the main problem. The objectives of the article are to rank the provinces of Poland in terms of regional development in the years 2006–2018 and to assess the similarity of results over time. The research study is based on linear ordering methods within the scope of multidimensional statistical analysis. The results of the conducted analyses allowed us to rank the provinces of Poland in terms of regional development in the years 2006–2018 and to assess the similarity of the results over time. The results of the analysis indicate a clear stabilization of high ranked positions during the examined period, last places are generally taken by the same regions. This situation may indicate an increase or at least strengthening of the disproportions between the most and least developed regions in Poland. Theoretical considerations presented in the article as well as the empirical results of our own research may provoke more detailed discussion on the subject.
The regional development is certain, complex and multidimensional statistics, ambiguously defined, and although it is frequently used, both in theory and practice, its measurement method remains inconclusive. The proper assessment of the region development level is mostly performed by the methods of linear ordering, whose basic tool is a synthetic measure, being a function aggregating partial information, contained in individual attributes (measures). The results of the research are determined at the same time not only the final list of diagnostic variables, but also the choice of the distance measure and aggregation formulas. As there are many formulas for variable standardisation, methods for weight determination, methods for averaging of standardised values, methods for establishment of reference object coordinates and formulas for distance calculation, lots of different aggregate measures. However, the literature frequently encourages to, in the absence of unambiguous indications for varied meaning and role of individual features, tacitly assume that all diagnostic variables are of the same weight, in general, there are two methods of obtaining weights for individual diagnostic variables: the weights are established by the experts' method (a priori method) or with the use of the computation algorithms based on information included in the primary (raw) data (a posteriori method). This study will be conducted on the basis of statistical methods for obtaining weights for individual diagnostic variables (a posteriori weights).
Determinanty rozwoju spo eczno ekonomicznego regionów w Polsce Kody JEL: C38, O18, R11 S owa kluczowe: rozwój regionów, determinanty rozwoju regionalnego, wielowymiarowa analiza porównawcza, metoda Hellwiga Streszczenie. Rozwój regionalny jest jednym z cz ciej podejmowanych zagadnie prowadzonych bada naukowych. Ze wzgl du na jego wielowymiarowy i z o ony charakter oraz brak mo liwo ci bezpo redniego pomiaru, naukowcy zajmuj cy si problematyk badania rozwoju regionów przyjmuj szereg merytoryczno-formalnych za o e , dotycz cych mi dzy innymi zmiennych pe ni cych rol determinant rozwoju badanych regionów. Celem artyku u jest okrelenie czy, i ewentualnie, jak du y wp yw na ostateczne wyniki bada rozwoju poszczególnych regionów ma dokonany wybór zmiennych diagnostycznych. Prowadzonym analizom towarzyszy natomiast nast puj ca hipoteza badawcza: dokonany wybór determinant rozwoju spo ecznoekonomicznego ma istotny wp yw na uzyskane wyniki, charakteryzuj ce badany poziom rozwoju analizowanych regionów. Wprowadzenie W tradycyjnym podej ciu do czynników rozwoju regionalnego najcz ciej wyrónianymi determinantami tego rozwoju by y: kapita , ziemia i praca. Czynniki te obejmowa y wi c zasoby maj tkowe (kapita owe), zasoby rodowiska przyrodniczego oraz zasoby demograficzne (Szymla, 2004, s. 66). Wed ug aspektów dzia alno ci spo ecznogospodarczej, czynniki sprzyjaj ce rozwojowi gospodarczemu mo na podzieli na
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