uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
A Class of Spatial Clustering Tests Based on a Density Adjusted Distance
Uppsala University, Humanistisk-samhällsvetenskapliga vetenskapsområdet, Faculty of Social Sciences, Department of Information Science.
Manuscript (Other academic)
URN: urn:nbn:se:uu:diva-94396OAI: oai:DiVA.org:uu-94396DiVA: diva2:168230
Available from: 2006-04-26 Created: 2006-04-26 Last updated: 2010-01-13Bibliographically approved
In thesis
1. Essays on Distance Based (Non-Euclidean) Tests for Spatial Clustering in Inhomogeneous Populations: Adjusting for the Inhomogeneity through the Distance Used
Open this publication in new window or tab >>Essays on Distance Based (Non-Euclidean) Tests for Spatial Clustering in Inhomogeneous Populations: Adjusting for the Inhomogeneity through the Distance Used
2006 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis consits of four papers dealing with distance based (non-Euclidean) tests for spatial clustering in inhomogeneous populations.

The density adjusted distance (DAD), which considers the underlying density, is defined in the first paper. The proposed distance can be used together with any of the old distance based methods developed for traditional homogeneous spatial patterns.

The test statistics in distance based tests can all be seen as a weighted sum of distance measures for distances between n cases with known co-ordinates. DAD based test statistics are developed and their performance is compared with the performance of previously suggested tests by simulation in the second paper. The tests are compared in different types of data set and for various kinds of clustering. It is shown that no test is the optimal choice for all alternative hypotheses and that the tests are unequally sensitive to the structure of the underlying data. Tests based on the DAD are often a good alternative.

Test statistics and graphical tools for the Empirical Distribution Function of DAD are developed and examined in the third paper. We show that the result of an EDF test combined with EDF plots provides more information about the possible nature of clustering in a sample than the result of a parametric test only.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2006. 23 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Social Sciences, ISSN 1652-9030 ; 13
Statistics, Clustering, Spatial Point Pattern, Inhomogeneous Density, Statistik
urn:nbn:se:uu:diva-6829 (URN)91-554-6548-X (ISBN)
Public defence
2006-05-17, Hörsal 2, Ekonomikum, Kyrkogårdsgatan 10, UPPSALA, 10:15
Available from: 2006-04-26 Created: 2006-04-26Bibliographically approved

Open Access in DiVA

No full text

By organisation
Department of Information Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 159 hits
ReferencesLink to record
Permanent link

Direct link