Information Theoretic Criteria for Least-Squares Trees

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dc.contributor.advisor Giurcaneanu, CD en
dc.contributor.author Li, Cenanning en
dc.date.accessioned 2016-06-21T04:28:33Z en
dc.date.issued 2016 en
dc.date.submitted 2016 en
dc.identifier.citation 2016 en
dc.identifier.uri http://hdl.handle.net/2292/29142 en
dc.description Full text is available to authenticated members of The University of Auckland only. en
dc.description.abstract Least-squares tree is a phylogenetic tree generated by the least-squares model based on an observed matrix of pairwise distances to depict the evolutionary relationships between biological replicators. In biology, it is common in many studies to focus on the binary tree as the primary graphical representation to describe the phylogenetic relationships. Many methods available for generating the tree/model for given distances are all about finding the “best” binary tree. However, in the case of the existence of multiway speciation events, the binary tree will not be the “best” possible model. In this thesis, we perform a backward selection method with the application of information theoretic criteria (ITC) on the tree suggested by any tree construction methods in order to remove the insignificant internal edges and to obtain the optimal model which can better describe the relationships between objects whose pairwise distances are known. Through the project, we (i) investigate the use of ITC on least-squares trees and prove theoretical results on the optimal tree selection, (ii) present the issues and problems related to the application of BIC (a very popular ITC in phylogenetics); (iii) build a tree selection process with the application of ten ITC in R, (iv) evaluate the performance by conducting experiments with both simulated data and real-world data, (v) implement the tree selection process in a web-based Shiny application with a friendly user interface for the public use. en
dc.publisher ResearchSpace@Auckland en
dc.relation.ispartof Masters Thesis - University of Auckland en
dc.relation.isreferencedby UoA99264865504902091 en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights Restricted Item. Available to authenticated members of The University of Auckland. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ en
dc.title Information Theoretic Criteria for Least-Squares Trees en
dc.type Thesis en
thesis.degree.discipline Statistics en
thesis.degree.grantor The University of Auckland en
thesis.degree.level Masters en
dc.rights.holder Copyright: The Author en
pubs.elements-id 531183 en
pubs.record-created-at-source-date 2016-06-21 en


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