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Compositional observations and their role in regression
This dissertation examines the properties and some of the uses of compositional data. It gives a brief history of the distinction between 'normal' data and compositions, as well as the various methods of analysing compositional data. It is mainly concerned with performing regression analysis includi...
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| Format: | Thesis |
| Language: | English |
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Division of Actuarial Science
2018
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| _version_ | 1867614382766161920 |
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| access_status_str | Open Access |
| author | Spracklen, Callum |
| author_browse | Spracklen, Callum |
| author_facet | Spracklen, Callum |
| author_sort | Spracklen, Callum |
| collection | Thesis |
| description | This dissertation examines the properties and some of the uses of compositional data. It gives a brief history of the distinction between 'normal' data and compositions, as well as the various methods of analysing compositional data. It is mainly concerned with performing regression analysis including compositions. In order to model a composition it is necessary to understand the nature of compositions and how to use standard statistical tools with them. This dissertation describes the simplex and several functions which can be performed in it, as well as introducing several useful covariate structures for compositional samples after transformation. It also introduces the transformations between the simplex and unconstrained real space. The dissertation concludes with four examples of regression analyses involving compositions. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/28125 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:51:09.795Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2018 |
| publishDateRange | 2018 |
| publishDateSort | 2018 |
| publisher | Division of Actuarial Science |
| publisherStr | Division of Actuarial Science |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/28125 Compositional observations and their role in regression Spracklen, Callum Actuarial Science This dissertation examines the properties and some of the uses of compositional data. It gives a brief history of the distinction between 'normal' data and compositions, as well as the various methods of analysing compositional data. It is mainly concerned with performing regression analysis including compositions. In order to model a composition it is necessary to understand the nature of compositions and how to use standard statistical tools with them. This dissertation describes the simplex and several functions which can be performed in it, as well as introducing several useful covariate structures for compositional samples after transformation. It also introduces the transformations between the simplex and unconstrained real space. The dissertation concludes with four examples of regression analyses involving compositions. 2018-05-25T07:45:09Z 2018-05-25T07:45:09Z 2018 Master Thesis Masters MCom http://hdl.handle.net/11427/28125 eng application/pdf Division of Actuarial Science Faculty of Commerce University of Cape Town |
| spellingShingle | Actuarial Science Spracklen, Callum Compositional observations and their role in regression |
| thesis_degree_str | Master's |
| title | Compositional observations and their role in regression |
| title_full | Compositional observations and their role in regression |
| title_fullStr | Compositional observations and their role in regression |
| title_full_unstemmed | Compositional observations and their role in regression |
| title_short | Compositional observations and their role in regression |
| title_sort | compositional observations and their role in regression |
| topic | Actuarial Science |
| url | http://hdl.handle.net/11427/28125 |
| work_keys_str_mv | AT spracklencallum compositionalobservationsandtheirroleinregression |