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Exact powers of some multivariate test criteria
In this thesis an algorithm for the noncentral linear density and cumulative distribution function of Wilks' likelihood ratio criterion in MANOVA is derived and it is shown how this algorithm, with modifications, can be used to find the distributions of a number of test criteria for different hypoth...
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| Format: | Thesis |
| Language: | English |
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Department of Statistical Sciences
2016
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| _version_ | 1867613517429866497 |
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| access_status_str | Open Access |
| author | Hart, Michael Lester |
| author2 | Money, A H |
| author_browse | Hart, Michael Lester Money, A H |
| author_facet | Money, A H Hart, Michael Lester |
| author_sort | Hart, Michael Lester |
| collection | Thesis |
| description | In this thesis an algorithm for the noncentral linear density and cumulative distribution function of Wilks' likelihood ratio criterion in MANOVA is derived and it is shown how this algorithm, with modifications, can be used to find the distributions of a number of test criteria for different hypotheses. At the same time previous results regarding percentiles and powers of these criteria are examined and discussed. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/16461 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:37:24.546Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Statistical Sciences |
| publisherStr | Department of Statistical Sciences |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/16461 Exact powers of some multivariate test criteria Hart, Michael Lester Money, A H Mathematical Statistics In this thesis an algorithm for the noncentral linear density and cumulative distribution function of Wilks' likelihood ratio criterion in MANOVA is derived and it is shown how this algorithm, with modifications, can be used to find the distributions of a number of test criteria for different hypotheses. At the same time previous results regarding percentiles and powers of these criteria are examined and discussed. 2016-01-20T12:50:43Z 2016-01-20T12:50:43Z 1974 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/16461 eng application/pdf Department of Statistical Sciences Faculty of Science University of Cape Town |
| spellingShingle | Mathematical Statistics Hart, Michael Lester Exact powers of some multivariate test criteria |
| thesis_degree_str | Doctoral |
| title | Exact powers of some multivariate test criteria |
| title_full | Exact powers of some multivariate test criteria |
| title_fullStr | Exact powers of some multivariate test criteria |
| title_full_unstemmed | Exact powers of some multivariate test criteria |
| title_short | Exact powers of some multivariate test criteria |
| title_sort | exact powers of some multivariate test criteria |
| topic | Mathematical Statistics |
| url | http://hdl.handle.net/11427/16461 |
| work_keys_str_mv | AT hartmichaellester exactpowersofsomemultivariatetestcriteria |