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Using goodness-of-fit tests to detect normality for mesokurtic data
Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2023.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613605475647488 |
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| access_status_str | Open Access |
| author2 | Van Staden, Paul J. |
| author_browse | Van Staden, Paul J. |
| author_facet | Van Staden, Paul J. |
| collection | Thesis |
| dc_rights_str_mv | © 2022 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. |
| description | Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2023. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/89422 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:38:48.199Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/89422 Using goodness-of-fit tests to detect normality for mesokurtic data Van Staden, Paul J. micaelasclanders@outlook.com Sclanders, Micaela Lee UCTD Goodness-of-fit tests Mesokurtosis Normal distribution Power comparison Ultra-marathon race times Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2023. The normality assumption is crucial in statistical inference and modelling. It is therefore important to determine if a sample comes from a normal distribution. Consequently, numerous goodness-of-fit hypothesis tests have been developed. The practical use of a specific test depends on its availability in the statistical software package considered. The field of application will also contribute to the choice of test. For instance, the Jarque-Bera test is popular in econometrics and finance. Various power comparison and simulation studies of goodness-of- t tests for normality can be found in the literature. Typically, these studies select alternative distributions whose levels of skewness and kurtosis deviate from that of the normal distribution. I.e., symmetric and asymmetric distributions exhibiting leptokurtosis or platykurtosis are included in these simulation studies. In this mini-dissertation, the focus is on mesokurtic distributions whose levels of skewness and kurtosis are equivalent to that of the normal distribution, but with different distributional shapes compared to the normal distribution. Statistics MSc (Advanced Data Analytics) Unrestricted 2023-02-10T13:47:23Z 2023-02-10T13:47:23Z 2023 2023 Mini Dissertation * A2023 https://repository.up.ac.za/handle/2263/89422 en © 2022 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. application/pdf University of Pretoria |
| spellingShingle | UCTD Goodness-of-fit tests Mesokurtosis Normal distribution Power comparison Ultra-marathon race times Using goodness-of-fit tests to detect normality for mesokurtic data |
| title | Using goodness-of-fit tests to detect normality for mesokurtic data |
| title_full | Using goodness-of-fit tests to detect normality for mesokurtic data |
| title_fullStr | Using goodness-of-fit tests to detect normality for mesokurtic data |
| title_full_unstemmed | Using goodness-of-fit tests to detect normality for mesokurtic data |
| title_short | Using goodness-of-fit tests to detect normality for mesokurtic data |
| title_sort | using goodness of fit tests to detect normality for mesokurtic data |
| topic | UCTD Goodness-of-fit tests Mesokurtosis Normal distribution Power comparison Ultra-marathon race times |
| url | https://repository.up.ac.za/handle/2263/89422 |