Describing heterogeneity in spatial point processes

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dc.contributor.advisor Fabris-Rotelli, Inger Nicolette
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


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