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Describing heterogeneity in spatial point processes
Mini Dissertation (MSc)--University of Pretoria, 2017.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2018
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| _version_ | 1867613645639254016 |
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| access_status_str | Open Access |
| author2 | Fabris-Rotelli, Inger Nicolette |
| author_browse | Fabris-Rotelli, Inger Nicolette |
| author_facet | Fabris-Rotelli, Inger Nicolette |
| collection | Thesis |
| dc_rights_str_mv | © 2018 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Mini Dissertation (MSc)--University of Pretoria, 2017. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/63817 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:39:26.678Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2018 |
| publishDateRange | 2018 |
| publishDateSort | 2018 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/63817 Describing heterogeneity in spatial point processes Fabris-Rotelli, Inger Nicolette christine.kraamwinkel@gmail.com Kraamwinkel, Christine UCTD Mini Dissertation (MSc)--University of Pretoria, 2017. In this mini-dissertation we briefly describe the context and development of spatial statistics, spatial sampling and point patterns. Thereafter spatial homogeneity is considered in detail. Before selecting an appropriate sampling design in the spatial context, it is important to know whether the data is first- and second-order homogeneous. Currently the method of kernel smoothing is used to construct density plots which can be used to visually and subjectively infer on first-order homogeneity. We propose the use of hypothesis tests, developed for the comparison of K Poisson intensities from independent samples, in the spatial setting as a more rigorous statistical approach to testing for first-order homogeneity. We also discuss the data assumptions required for these hypothesis tests and provide suggestions for the users. DST/NRF SARChI Chair: Mathematical Models and Methods in Bioengineering and Biosciences, University of Pretoria NRF Competitive Programme for Rated Researchers: Prof Geoffrey Fosgate, University of Pretoria Wellcome Trust, University of Glasgow, Dr Katie Hampson Morris Animal Foundation First Investigator Award Grant (D12CA-312), Prof Darryn Knobel Competitive Support for Unrated Researchers, Grant 90315, Dr I Fabris-Rotelli, University of Pretoria NRF-SASA Crisis in Statistics grant Statistics MSc Unrestricted 2018-01-31T09:12:31Z 2018-01-31T09:12:31Z 2018-04-13 2017 Mini Dissertation Kraamwinkel, C 2017, Describing heterogeneity in spatial point processes, MSc Mini Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/63817> A2018 http://hdl.handle.net/2263/63817 en © 2018 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Describing heterogeneity in spatial point processes |
| title | Describing heterogeneity in spatial point processes |
| title_full | Describing heterogeneity in spatial point processes |
| title_fullStr | Describing heterogeneity in spatial point processes |
| title_full_unstemmed | Describing heterogeneity in spatial point processes |
| title_short | Describing heterogeneity in spatial point processes |
| title_sort | describing heterogeneity in spatial point processes |
| topic | UCTD |
| url | http://hdl.handle.net/2263/63817 |