Mirosław Krzyśko , Agnieszka Majka , Waldemar Wołyński

(Polish) PDF


The paper presents an estimation of life standard diversity for residents of Polish voivodships in 2003–2013. The principal component analysis was applied for multidimensional functional data and the dendrite method was used for cluster analysis. These methods made it possible to isolate relatively homogeneous groups of voivodships that had similar values of characteristics under consideration, for the whole period at issue.


multivariate functional data, functional data analysis, principal components analysis


Diechciarz J., (red.), (2003), Ekonometria. Metody, przykłady, zadania, Wydanie 2 poprawione, Wydawnictwo AE we Wrocławiu.

Florek K., Łukaszewicz J., Perkal J., Steinhaus H., Zubrzycki S., (1951a), Sur la Liaison et la Division des Points d’un Ensemble Fini, Colloquium Mathematicum, 2, 282–285.

Florek K., Łukaszewicz J., Perkal J., Steinhaus H., Zubrzycki S., (1951b), Taksonomia wrocławska, Przegląd Antropologiczny, 17, 193–211.

Górecki T., Krzyśko M., Waszak Ł., Wołyński W., (2014), Methods of Reducing Dimension for Functional Data, Statistics in Transition – New Series, 15 (2), 231–242.

Horváth L., Kokoszka P., (2012), Inference for Functional Data with Applications, Springer.

Jacques J., Preda C., (2014), Model-Based Clustering for Multivariate Functional Data, Computational Statistics & Data Analysis, 71, 92–106.

Kruskal J. B., (1956), On the Shortest Spanning Subtree of a Graph and the Travelling Salesman Problem, Proceedings of the American Mathematical Society, 7, 48–50.

Perkal J., (1953), Taksonomia wrocławska, Przegląd Antropologiczny, 19, 209–221.

Prim R. C., (1957), Shortest Connection Networks and Some Generalizations, Bell System Technical Journal, 36, 1389–1401.

Ramsay J. O., Silverman B. W., (2005), Functional Data Analysis, Second Edition, Springer.

Schwarz G., (1978), Estimating the Dimension of a Model, Annals of Statistics, 6, 461–464.

Shmueli G., (2010), To Explain or to Predict? Statistical Science, 25 (3), 289–310.

Walesiak M., (2014), Przegląd formuł normalizacji wartości zmiennych oraz ich własności w statystycznej analizie wielowymiarowej, Przegląd Statystyczny, 61 (4), 363–372.

Back to top
© 2019–2022 Copyright by Statistics Poland, some rights reserved. Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) Creative Commons — Attribution-ShareAlike 4.0 International — CC BY-SA 4.0