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http://www.zasobynauki.pl/zasoby/82844Resource link (repository)
https://id.e-science.pl/records/82844Resource metadata
| Title |
Metody analizy systemowej i zarządzania. Homogeneity algorithm for modelling regional structure (RB-1997-36-01) |
|---|---|
| Persons |
Authors:
Jerzy Wiesław Hołubiec, Grażyna Petriczek
Partner: Systems Research Institute Polish Academy of Sciences, Warsaw |
| Description |
In the paper the method of data set homogeneity examination and algorithm of set division into homogeneous subsets (in quality sense) are presented and their applications for modeling regional structure is demonstrated. The essential element of the method is a criterion for testing data set homogeneity hypothesis. The criterion function has a form of statistics U, which has the chi squared distribution. The method consists in iterative partition of nonhomogeneous set into two parts. If number of this division increases, than the process of successive partitions can lead to the existence of statistically unstable boundaries between adjacent homogeneous subsets. The determination of unstable inter-group boundaries and their removal from earlier obtained partition final results in data set division into homogeneous separated subsets with stable inter-bounds. The subsets aggregation is based on adequately formulated hypothesis testing concerning stability of the boundary between the two sets. The data set division algorithm contains two basic fundamental steps: the set partition procedures into homogeneous, disconnected subsets, that enable the primary set division and the procedures that examine the stability of boundaries between these subsets. (English) |
| Keywords | "testowanie hipotez"@pl, "hypotheses testing"@en, "statystycznie stabilne granice między dwoma zbiorami"@pl, "statistically stable boundaries between two sets"@en, "homogeneity of the data set"@en, "chi-square distribution"@en, "rozkład chi-kwadrat"@pl, "jednorodność zbioru danych"@pl |
| Classification |
Resource type:
article, chapter Scientific discipline: Dziedzina nauk ścisłych i przyrodniczych / matematyka (2018) Destination group: pupils, students, scientists Harmful content: No |
| Characteristics |
Title of source document: RB-1997-36-01
Place of publication: Warszawa Publisher: IBSPAN Time of publication: 1997 From page: 1 To page: 9 Resource language: English |
| License | CC BY-SA 4.0 |
| Technical information |
Submitter: Anna Wasilewska Availability date: 16-01-2023 |
| Collections | Kolekcja Instytutu Badań Systemowych PAN w Warszawie |
Citation
Jerzy Wiesław Hołubiec, Grażyna Petriczek. Metody analizy systemowej i zarządzania. Homogeneity algorithm for modelling regional structure (RB-1997-36-01). [article, chapter] Available in Atlas of Open Science Resources, . License: CC BY-SA 4.0, https://creativecommons.org/licenses/by-sa/4.0/legalcode.pl. Date of access: DD.MM.RRRR.
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