Describing heterogeneity in spatial point processes
| dc.contributor.advisor | Fabris-Rotelli, Inger Nicolette | |
| dc.contributor.email | christine.kraamwinkel@gmail.com | en_ZA |
| dc.contributor.postgraduate | Kraamwinkel, Christine | |
| dc.date.accessioned | 2018-01-31T09:12:31Z | |
| dc.date.available | 2018-01-31T09:12:31Z | |
| dc.date.created | 2018-04-13 | |
| dc.date.issued | 2017 | |
| dc.description | Mini Dissertation (MSc)--University of Pretoria, 2017. | en_ZA |
| dc.description.abstract | 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. | en_ZA |
| dc.description.availability | Unrestricted | en_ZA |
| dc.description.degree | MSc | en_ZA |
| dc.description.department | Statistics | en_ZA |
| dc.description.sponsorship | DST/NRF SARChI Chair: Mathematical Models and Methods in Bioengineering and Biosciences, University of Pretoria | en_ZA |
| dc.description.sponsorship | NRF Competitive Programme for Rated Researchers: Prof Geoffrey Fosgate, University of Pretoria | en_ZA |
| dc.description.sponsorship | Wellcome Trust, University of Glasgow, Dr Katie Hampson | en_ZA |
| dc.description.sponsorship | Morris Animal Foundation First Investigator Award Grant (D12CA-312), Prof Darryn Knobel | en_ZA |
| dc.description.sponsorship | Competitive Support for Unrated Researchers, Grant 90315, Dr I Fabris-Rotelli, University of Pretoria | en_ZA |
| dc.description.sponsorship | NRF-SASA Crisis in Statistics grant | en_ZA |
| dc.identifier.citation | Kraamwinkel, C 2017, Describing heterogeneity in spatial point processes, MSc Mini Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/63817> | en_ZA |
| dc.identifier.other | A2018 | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/2263/63817 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | University of Pretoria | |
| dc.rights | © 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. | |
| dc.subject | UCTD | |
| dc.title | Describing heterogeneity in spatial point processes | en_ZA |
| dc.type | Mini Dissertation | en_ZA |