PARTIAL VARIANCE OF AN APPROXIMATING POINT - A TOOL TO RESEARCH DECOMPOSITION OF DATA SET

• Authors: Maciuk A.
• Languages of publication: PL

Abstracts

EN

Broadening classic methods of approximation by implicit functions enables approximation of a set by disconnected figures, e.g. approximation of two or more points simultaneously. As a result it's possible to determine in exact way the 'centers of mass concentration' of an analyzed set - that is to indicate the areas of the set of big congestion of elements. What might be problematic is to determine the proper amount of points to approximate a certain set. How to verify the thesis that two point approximation is more 'proper' than one point approximation? Or to put it in a more general way: how to verify the thesis that it's better to approximate a set by the k-points? In the article the concept of a partial variance is introduced, as a kind of generalization of set variance. The partial variance proves to be a useful tool which enables among others, answering the above questions. It's bound to the method of approximation by disconnected figures, being its valuable completion.

Keywords

EN

APPROXIMATION BY IMPLICIT FUNCTIONS; MULTIVARIATE DATA ANALYSIS

Discipline

• ECONOMICS: ECONOMICS

• Publisher: Główny Urząd Statystyczny
• Journal: Przegląd Statystyczny
• Year: 2008
• Volume: 55
• Issue: 2
• Pages: 78-88
• Document type: ARTICLE

Contributors

author

Maciuk A.

• A. Maciuk, Akademia Ekonomiczna we Wroclawiu, ul. Komandorska 118/120, 53-345 Wroclaw, Poland

Identifiers

CEJSH db identifier

08PLAAAA04899293